The document discusses verification and validation of simulation models. Verification ensures the conceptual model is accurately represented in the operational model, while validation confirms the model is an accurate representation of the real system. The key steps are: 1) observing the real system, 2) constructing a conceptual model, 3) implementing an operational model. Verification techniques include checking model logic, output reasonableness, and documentation. Validation compares model and system input-output transformations using historical data or Turing tests. The goal is to iteratively modify the model until its behavior sufficiently matches the real system.
Verification ensures software meets specifications, while validation ensures it meets user needs. Both establish software fitness for purpose. Verification includes static techniques like inspections and formal methods to check conformance pre-implementation. Validation uses dynamic testing post-implementation. Techniques include defect testing to find inconsistencies, and validation testing to ensure requirements fulfillment. Careful planning via test plans is needed to effectively verify and validate cost-efficiently. The Cleanroom methodology applies formal specifications and inspections statically to develop defect-free software incrementally.
This document discusses software metrics and measurement. It describes how measurement can be used throughout the software development process to assist with estimation, quality control, productivity assessment, and project control. It defines key terms like measures, metrics, and indicators and explains how they provide insight into the software process and product. The document also discusses using metrics to evaluate and improve the software process as well as track project status, risks, and quality. Finally, it covers different types of metrics like size-oriented, function-oriented, and quality metrics.
This presentation introduces discrete-event simulation software. It discusses what discrete-event simulation is, how it models systems as sequences of events over time. It covers the basic constructs like entities, resources, control elements and operations. It explains how simulation execution advances by processing the next event. It discusses entity states like active, ready, time-delayed and conditional-delayed. It also summarizes different implementations in discrete-event modeling languages and tools like Arena and AutoMod.
The document discusses software quality assurance (SQA) and defines key terms related to quality. It describes SQA as encompassing quality management, software engineering processes, formal reviews, testing strategies, documentation control, and compliance with standards. Specific SQA activities mentioned include developing an SQA plan, participating in process development, auditing work products, and ensuring deviations are addressed. The document also discusses software reviews, inspections, reliability, and the reliability specification process.
This document discusses software quality assurance. It defines software quality and describes two types - quality of design and quality of conformance. It discusses quality concepts at the organizational, project, and process levels. It also describes software reviews, their types and purposes. Software quality assurance aims to establish organizational procedures and standards to achieve high quality software. Key SQA activities include applying technical methods, reviews, testing, enforcing standards and measurement.
This document provides an overview of software testing concepts and processes. It discusses the importance of testing in the software development lifecycle and defines key terms like errors, bugs, faults, and failures. It also describes different types of testing like unit testing, integration testing, system testing, and acceptance testing. Finally, it covers quality assurance and quality control processes and how bugs are managed throughout their lifecycle.
System testing evaluates a complete integrated system to determine if it meets specified requirements. It tests both functional and non-functional requirements. Functional requirements include business rules, transactions, authentication, and external interfaces. Non-functional requirements include performance, reliability, security, and usability. There are different types of system testing, including black box testing which tests functionality without knowledge of internal structure, white box testing which tests internal structures, and gray box testing which is a combination. Input, installation, graphical user interface, and regression testing are examples of different types of system testing.
Testing is the process of identifying bugs and ensuring software meets requirements. It involves executing programs under different conditions to check specification, functionality, and performance. The objectives of testing are to uncover errors, demonstrate requirements are met, and validate quality with minimal cost. Testing follows a life cycle including planning, design, execution, and reporting. Different methodologies like black box and white box testing are used at various levels from unit to system. The overall goal is to perform effective testing to deliver high quality software.
UML (Unified Modeling Language) is a standard modeling language used to specify, visualize, and document software systems. It uses graphical notations to model structural and behavioral aspects of a system. Common UML diagram types include use case diagrams, class diagrams, sequence diagrams, and state diagrams. Use case diagrams model user interactions, class diagrams show system entities and relationships, sequence diagrams visualize object interactions over time, and state diagrams depict object states and transitions. UML aims to simplify the complex process of software design through standardized modeling.
This document provides an overview of software maintenance. It discusses that software maintenance is an important phase of the software life cycle that accounts for 40-70% of total costs. Maintenance includes error correction, enhancements, deletions of obsolete capabilities, and optimizations. The document categorizes maintenance into corrective, adaptive, perfective and preventive types. It also discusses the need for maintenance to adapt to changing user requirements and environments. The document describes approaches to software maintenance including program understanding, generating maintenance proposals, accounting for ripple effects, and modified program testing. It discusses challenges like lack of documentation and high staff turnover. The document also introduces concepts of reengineering and reverse engineering to make legacy systems more maintainable.
This document provides course materials for the subject of Software Quality Management taught in the 8th semester of the Computer Science and Engineering department at A.V.C. College of Engineering in Mannampandal, India. It includes the syllabus, course objectives, textbook information, and an introductory section on fundamentals of software quality covering topics like hierarchical quality models, quality measurement, and metrics.
System modeling involves developing abstract models of a system from different perspectives using graphical notations like UML. Models are used during requirements, design, and documentation of a system. There are four main types of system modeling: context modeling defines system boundaries; interaction modeling captures user and component interactions through use cases and sequence diagrams; structural modeling shows system design and architecture using class and generalization diagrams; and behavioral modeling depicts system behavior over time.
SE_Lec 05_System Modelling and Context ModelAmr E. Mohamed
System modeling is the process of developing abstract models of a system using graphical notations like the Unified Modeling Language (UML) to represent different views of a system. Models help analysts understand system functionality and communicate with customers. Models of existing and new systems are used during requirements engineering to clarify current systems, discuss strengths/weaknesses, and explain proposed requirements.
Black box testing refers to testing software without knowledge of its internal implementation by focusing on inputs and outputs. There are several techniques including boundary value analysis, equivalence partitioning, state transition testing, and graph-based testing. Black box testing is useful for testing functionality, behavior, and non-functional aspects from the end user's perspective.
Control charts are used to monitor process variables over time in various industries and organizations. They tell us when a process is out of control by showing data points outside the control limits. When this occurs, those closest to the process must find and eliminate the special cause of variation to prevent it from happening again. Control charts have basic components like a centerline and upper and lower control limits. They are constructed by selecting a process, collecting data, calculating statistics and control limits, and plotting the results over time. Control charts come in two types - variables charts for continuous measurements and attributes charts for counting items. Common and special causes can lead to variations monitored by these charts.
The document discusses 9 axioms or principles of software testing:
1. It is impossible to completely test a program due to the huge number of possible inputs, outputs, and paths through the code.
2. Software testing is a risk-based exercise where testers must prioritize testing based on risk to avoid high cost failures while releasing on schedule.
3. Testing can find bugs but cannot prove their absence, as undiscovered bugs may still exist.
The document discusses software reliability and reliability growth models. It defines software reliability and differentiates it from hardware reliability. It also describes some commonly used software reliability growth models like Musa's basic and logarithmic models. These models make assumptions about fault removal over time to predict how failure rates will change as testing progresses. The key challenges with models are uncertainty and accurately estimating their parameters.
This document provides an overview of software testing concepts and definitions. It discusses key topics such as software quality, testing methods like static and dynamic testing, testing levels from unit to acceptance testing, and testing types including functional, non-functional, regression and security testing. The document is intended as an introduction to software testing principles and terminology.
This document discusses availability and reliability in systems. Availability is defined as the probability that a system will be operational to deliver requested services, while reliability is the probability of failure-free operation over time. Both can be expressed as percentages. Availability takes into account repair times, whereas reliability does not. Faults can lead to errors and failures if not addressed through techniques like fault avoidance, detection, and tolerance.
The document discusses verification and validation (V&V) of software. It defines verification as ensuring the product is built correctly, and validation as ensuring the right product is built. The document outlines the V&V process, including both static verification techniques like inspections and dynamic testing. It describes program inspections, static analysis tools, and the role of planning in effective V&V.
The document discusses various black-box testing techniques. It introduces testing, verification, and validation. It then describes black-box and white-box testing. Various types of testing like unit, integration, functional, system, acceptance, regression, and beta testing are explained. Strategies for writing test cases like equivalence partitioning and boundary value analysis are provided. The document emphasizes the importance of planning testing early in the development process.
The document discusses verification and validation (V&V) in software engineering. It defines verification as ensuring a product is built correctly, and validation as ensuring the right product is built. V&V aims to discover defects and assess if a system is usable. Static and dynamic verification methods are covered, including inspections, testing, and automated analysis. The document outlines V&V goals, the debugging process, V-model development, test planning, and inspection techniques.
Unit4 Software Engineering Institute (SEI)’sCapability Maturity Model (CMM)...Reetesh Gupta
The organization
Does not have an established and documented environment for developing and maintaining software.
Haphazard activities by the members of the project team
No systematic project management process
At the time of crises, projects usually stop using all planned procedures and revert to coding and testing.
Adhoc Processes (No formal process)
Success, if any, depends on heroic actions of few members in the team - Individual dependent outcomes
Software and hardware reliability are defined differently. Software reliability is the probability that software will operate as required for a specified time in a specified environment without failing, while hardware reliability tends towards a constant value over time and usually follows the "bathtub curve". Ensuring reliability involves testing like fault tree analysis, failure mode effects analysis, and environmental testing for hardware, and techniques like defensive programming, fault detection and diagnosis, and error detecting codes for software. Reliability is measured through metrics like time to failure and failure rates over time.
Unit 4- Software Engineering System Model Notes arvind pandey
This document discusses system modeling techniques used in software engineering. It covers context models, behavioral models, data models, object models, and CASE workbenches. Different types of models present the system from external, behavioral, and structural perspectives. Common model types include data processing, composition, architectural, and classification models. The document provides examples of context models, state machine models, data flow diagrams, and object models. It also discusses semantic data models, object behavior modeling with sequence diagrams, and components of analysis and design workbenches.
Calibration and validation model (Simulation )Rajan Kandel
This document discusses calibration and validation of models. Calibration is an iterative process of comparing a model to the real system and adjusting model parameters to better match observed real data. Validation checks that the model's output matches real data and ensures the model is useful. Key aspects of calibration discussed include comparing model output to measured data at different time granularities, and additional data needs. Validation ensures the model assumptions and programming are sound. Steps in validation include building a model with face validity, validating assumptions, and comparing model input-output transformations to the real system.
The document discusses software testing processes and techniques. It covers topics like test case design, validation testing vs defect testing, unit testing vs integration testing, interface testing, system testing, acceptance testing, regression testing, test management, deriving test cases from use cases, and test coverage. The key points are that software testing involves designing test cases, running programs with test data, comparing results to test cases, and reporting test results. Different testing techniques like unit testing, integration testing, and system testing address different levels or parts of the system. Test cases are derived from use case scenarios to validate system functionality.
System testing evaluates a complete integrated system to determine if it meets specified requirements. It tests both functional and non-functional requirements. Functional requirements include business rules, transactions, authentication, and external interfaces. Non-functional requirements include performance, reliability, security, and usability. There are different types of system testing, including black box testing which tests functionality without knowledge of internal structure, white box testing which tests internal structures, and gray box testing which is a combination. Input, installation, graphical user interface, and regression testing are examples of different types of system testing.
Testing is the process of identifying bugs and ensuring software meets requirements. It involves executing programs under different conditions to check specification, functionality, and performance. The objectives of testing are to uncover errors, demonstrate requirements are met, and validate quality with minimal cost. Testing follows a life cycle including planning, design, execution, and reporting. Different methodologies like black box and white box testing are used at various levels from unit to system. The overall goal is to perform effective testing to deliver high quality software.
UML (Unified Modeling Language) is a standard modeling language used to specify, visualize, and document software systems. It uses graphical notations to model structural and behavioral aspects of a system. Common UML diagram types include use case diagrams, class diagrams, sequence diagrams, and state diagrams. Use case diagrams model user interactions, class diagrams show system entities and relationships, sequence diagrams visualize object interactions over time, and state diagrams depict object states and transitions. UML aims to simplify the complex process of software design through standardized modeling.
This document provides an overview of software maintenance. It discusses that software maintenance is an important phase of the software life cycle that accounts for 40-70% of total costs. Maintenance includes error correction, enhancements, deletions of obsolete capabilities, and optimizations. The document categorizes maintenance into corrective, adaptive, perfective and preventive types. It also discusses the need for maintenance to adapt to changing user requirements and environments. The document describes approaches to software maintenance including program understanding, generating maintenance proposals, accounting for ripple effects, and modified program testing. It discusses challenges like lack of documentation and high staff turnover. The document also introduces concepts of reengineering and reverse engineering to make legacy systems more maintainable.
This document provides course materials for the subject of Software Quality Management taught in the 8th semester of the Computer Science and Engineering department at A.V.C. College of Engineering in Mannampandal, India. It includes the syllabus, course objectives, textbook information, and an introductory section on fundamentals of software quality covering topics like hierarchical quality models, quality measurement, and metrics.
System modeling involves developing abstract models of a system from different perspectives using graphical notations like UML. Models are used during requirements, design, and documentation of a system. There are four main types of system modeling: context modeling defines system boundaries; interaction modeling captures user and component interactions through use cases and sequence diagrams; structural modeling shows system design and architecture using class and generalization diagrams; and behavioral modeling depicts system behavior over time.
SE_Lec 05_System Modelling and Context ModelAmr E. Mohamed
System modeling is the process of developing abstract models of a system using graphical notations like the Unified Modeling Language (UML) to represent different views of a system. Models help analysts understand system functionality and communicate with customers. Models of existing and new systems are used during requirements engineering to clarify current systems, discuss strengths/weaknesses, and explain proposed requirements.
Black box testing refers to testing software without knowledge of its internal implementation by focusing on inputs and outputs. There are several techniques including boundary value analysis, equivalence partitioning, state transition testing, and graph-based testing. Black box testing is useful for testing functionality, behavior, and non-functional aspects from the end user's perspective.
Control charts are used to monitor process variables over time in various industries and organizations. They tell us when a process is out of control by showing data points outside the control limits. When this occurs, those closest to the process must find and eliminate the special cause of variation to prevent it from happening again. Control charts have basic components like a centerline and upper and lower control limits. They are constructed by selecting a process, collecting data, calculating statistics and control limits, and plotting the results over time. Control charts come in two types - variables charts for continuous measurements and attributes charts for counting items. Common and special causes can lead to variations monitored by these charts.
The document discusses 9 axioms or principles of software testing:
1. It is impossible to completely test a program due to the huge number of possible inputs, outputs, and paths through the code.
2. Software testing is a risk-based exercise where testers must prioritize testing based on risk to avoid high cost failures while releasing on schedule.
3. Testing can find bugs but cannot prove their absence, as undiscovered bugs may still exist.
The document discusses software reliability and reliability growth models. It defines software reliability and differentiates it from hardware reliability. It also describes some commonly used software reliability growth models like Musa's basic and logarithmic models. These models make assumptions about fault removal over time to predict how failure rates will change as testing progresses. The key challenges with models are uncertainty and accurately estimating their parameters.
This document provides an overview of software testing concepts and definitions. It discusses key topics such as software quality, testing methods like static and dynamic testing, testing levels from unit to acceptance testing, and testing types including functional, non-functional, regression and security testing. The document is intended as an introduction to software testing principles and terminology.
This document discusses availability and reliability in systems. Availability is defined as the probability that a system will be operational to deliver requested services, while reliability is the probability of failure-free operation over time. Both can be expressed as percentages. Availability takes into account repair times, whereas reliability does not. Faults can lead to errors and failures if not addressed through techniques like fault avoidance, detection, and tolerance.
The document discusses verification and validation (V&V) of software. It defines verification as ensuring the product is built correctly, and validation as ensuring the right product is built. The document outlines the V&V process, including both static verification techniques like inspections and dynamic testing. It describes program inspections, static analysis tools, and the role of planning in effective V&V.
The document discusses various black-box testing techniques. It introduces testing, verification, and validation. It then describes black-box and white-box testing. Various types of testing like unit, integration, functional, system, acceptance, regression, and beta testing are explained. Strategies for writing test cases like equivalence partitioning and boundary value analysis are provided. The document emphasizes the importance of planning testing early in the development process.
The document discusses verification and validation (V&V) in software engineering. It defines verification as ensuring a product is built correctly, and validation as ensuring the right product is built. V&V aims to discover defects and assess if a system is usable. Static and dynamic verification methods are covered, including inspections, testing, and automated analysis. The document outlines V&V goals, the debugging process, V-model development, test planning, and inspection techniques.
Unit4 Software Engineering Institute (SEI)’sCapability Maturity Model (CMM)...Reetesh Gupta
The organization
Does not have an established and documented environment for developing and maintaining software.
Haphazard activities by the members of the project team
No systematic project management process
At the time of crises, projects usually stop using all planned procedures and revert to coding and testing.
Adhoc Processes (No formal process)
Success, if any, depends on heroic actions of few members in the team - Individual dependent outcomes
Software and hardware reliability are defined differently. Software reliability is the probability that software will operate as required for a specified time in a specified environment without failing, while hardware reliability tends towards a constant value over time and usually follows the "bathtub curve". Ensuring reliability involves testing like fault tree analysis, failure mode effects analysis, and environmental testing for hardware, and techniques like defensive programming, fault detection and diagnosis, and error detecting codes for software. Reliability is measured through metrics like time to failure and failure rates over time.
Unit 4- Software Engineering System Model Notes arvind pandey
This document discusses system modeling techniques used in software engineering. It covers context models, behavioral models, data models, object models, and CASE workbenches. Different types of models present the system from external, behavioral, and structural perspectives. Common model types include data processing, composition, architectural, and classification models. The document provides examples of context models, state machine models, data flow diagrams, and object models. It also discusses semantic data models, object behavior modeling with sequence diagrams, and components of analysis and design workbenches.
Calibration and validation model (Simulation )Rajan Kandel
This document discusses calibration and validation of models. Calibration is an iterative process of comparing a model to the real system and adjusting model parameters to better match observed real data. Validation checks that the model's output matches real data and ensures the model is useful. Key aspects of calibration discussed include comparing model output to measured data at different time granularities, and additional data needs. Validation ensures the model assumptions and programming are sound. Steps in validation include building a model with face validity, validating assumptions, and comparing model input-output transformations to the real system.
The document discusses software testing processes and techniques. It covers topics like test case design, validation testing vs defect testing, unit testing vs integration testing, interface testing, system testing, acceptance testing, regression testing, test management, deriving test cases from use cases, and test coverage. The key points are that software testing involves designing test cases, running programs with test data, comparing results to test cases, and reporting test results. Different testing techniques like unit testing, integration testing, and system testing address different levels or parts of the system. Test cases are derived from use case scenarios to validate system functionality.
Comprehensive Testing Strategies for Reliable and Quality Software Developmen...shilpamathur13
This course/module explores various software testing strategies essential for ensuring software quality and reliability. It covers both static and dynamic testing techniques.
This document discusses simulation of manufacturing systems. Simulation can be used to understand and predict the future behavior of a system and determine how to influence that behavior. A simulation model acts as a surrogate for experimenting with a real manufacturing system. It is important to validate the model and ensure it is credible. Simulation can evaluate and compare different aspects of a manufacturing process and suggest improvements, even for non-existent systems based on assumptions. The scope of the simulation study should involve customers. Manufacturing transforms raw materials through processes like design, material specification, and modification. Simulation can quantify system performance, predict existing or planned systems, and compare design alternatives. Sources of randomness in simulated manufacturing systems must be modeled correctly.
Initializing and Optimizing Machine Learning Models describes the use of hyperparameters, how to use multiple algorithms and models, and how to score and evaluate models.
Pharmacokinetic-pharmacodynamic modeling involves creating mathematical models to represent biological systems. These models use experimentally derived data and can be classified as either models of data or models of systems. Models of data require few assumptions, while models of systems are based on physical principles. The model development process involves analyzing the problem, collecting data, formulating the model, fitting the model to data, validating the model, and communicating results. Model validation assesses how well a model serves its intended purpose, though models can never be fully proven and are disproven through validity testing.
The document provides an introduction to Measurement System Analysis (MSA). It defines MSA as a method to determine the amount of variation that exists within a measurement process. The key sources of variation in a measurement system are identified as the process, personnel, tools/equipment, items measured, and environmental factors. Gage R&R studies are discussed as a way to evaluate variation introduced by the measurement system and operators. The goal of MSA is to ensure accurate measurement data by identifying issues with the measurement system to prevent incorrect decisions.
Training on the topic MSA as per new RevAF.pptxSantoshKale31
This document provides an introduction to Measurement System Analysis (MSA). It defines what an MSA is, what constitutes a measurement system, possible sources of variation in measurement systems, and why performing an MSA is important. It describes how to perform an MSA, including conducting a Gage R&R study for variable data or an attribute gage study. The goal of an MSA is to evaluate the accuracy and precision of a measurement system to ensure accurate data is being collected.
Modeling and simulation is the use of models as a basis for simulations to develop data utilized for managerial or technical decision making. In the computer application of modeling and simulation a computer is used to build a mathematical model which contains key parameters of the physical model.
This document discusses black box testing techniques. It defines black box testing as testing that ignores internal mechanisms and focuses on inputs and outputs. Six common black box testing techniques are described: equivalence partitioning, boundary value analysis, cause-effect graphing, decision table-based testing, orthogonal array testing, and syntax-driven testing. The document provides examples of how to use these techniques to design test cases to uncover faults.
This document provides an introduction and overview of simulation modeling. It discusses when simulation is an appropriate tool, the advantages and disadvantages, common applications, and the basic components and types of systems that can be modeled. It also outlines the typical steps involved in a simulation study, including problem formulation, model building, experimentation and analysis, and documentation. Model building involves conceptualizing the model, collecting data, translating the model into a computer program, verifying that the program is working correctly, and validating the model outputs against real system behavior.
This document provides an overview of a project report on simulating a single server queuing problem. The report includes an introduction to operations research, simulation, and the queuing problem. It discusses the research methodology, which involves defining the problem, developing a simulation model, validating the model, analyzing the data, and presenting findings and recommendations. The goal is to use simulation to provide optimal solutions to the queuing problem under study.
Data Analytics, Machine Learning, and HPC in Today’s Changing Application Env...Intel® Software
This session explains how solutions desired by such IT/Internet/Silicon Valley etc companies can look like, how they may differ from the more “classical” consumers of machine learning and analytics, and the arising challenges that current and future HPC development may have to cope with.
The document discusses various aspects of the software testing process including verification and validation strategies, test phases, metrics, configuration management, test development, and defect tracking. It provides details on unit testing, integration testing, system testing, and other test phases. Metrics covered include functional coverage, software maturity, and reliability. Configuration management and defect tracking processes are also summarized.
Queueing theory studies waiting line systems where customers arrive for service but servers have limited capacity. This document outlines components of queueing models including: arrival processes, queue configurations, service disciplines, service facilities, and analytical solutions. Key points are that customers wait in queues when demand exceeds server capacity, and queueing formulas provide expected wait times and number of customers in the system based on arrival and service rates.
Queueing theory is the study of waiting lines and systems. A queue forms when demand exceeds the capacity of the service facility. Key components of a queueing model include the arrival process, queue configuration, queue discipline, service discipline, and service facility. Common queueing models include the M/M/1 model (Poisson arrivals, exponential service times, single server), and the M/M/C model (Poisson arrivals, exponential service times, multiple servers). These models provide formulas to calculate important queueing statistics like expected wait time, number of customers in system, and resource utilization.
This document contains 14 queueing theory problems involving various systems with arrivals, service processes, and queues. The problems cover topics like printers, telephone call centers, order processing, travel reservations, barber shops, loading docks, campgrounds, gas stations, machine repair shops, computing centers, police vehicle repair, and material handling forklifts. Key aspects addressed include average queue lengths, wait times, resource utilization, and determining optimal numbers of servers.
This document discusses verification and validation of simulation models. It presents four approaches to determining model validity: 1) the model development team decides validity, 2) users are heavily involved in deciding validity, 3) an independent third party decides validity through independent verification and validation (IV&V), and 4) using a scoring model. It also presents two paradigms relating verification and validation to the modeling process - a simple view and a more complex view. Key aspects of validation discussed include conceptual model validity, model verification, operational validity, and data validity. A recommended validation procedure and brief discussion of accreditation are also provided.
This document contains 11 problems involving Markov chain analysis. Problem 1 provides a transition matrix for brand switching between products A and B, and asks for probabilities of switching between brands over time. Problem 2 expands on this to calculate long-run market shares and expected times between purchases for each brand.
1) A Markov chain is a discrete time stochastic process where the current state depends only on the previous state. It is characterized by transition probabilities between states.
2) States in a Markov chain can be classified as transient, recurrent, or absorbing. Recurrent states will be visited infinitely often, while transient states will eventually be left never to return.
3) Ergodic Markov chains have a unique steady state probability distribution that the chain converges to over many time steps, regardless of the starting state. This is known as the limiting or stationary distribution.
This document contains 7 problems related to game theory and operations research. Problem 1 describes a scenario involving two banks deciding on branch locations and formulates it as a two-person, zero-sum game. Problem 2 describes the "Rock, Paper, Scissors" game and formulates it as a two-person, zero-sum game. Problem 3 describes a scenario involving two companies deciding on ice rink locations in a city divided into three sections and formulates it as a game from one company's perspective.
This document provides an overview of game theory and two-person zero-sum games. It defines key concepts such as players, strategies, payoffs, and classifications of games. It also describes the assumptions and solutions for pure strategy and mixed strategy games. Pure strategy games have a saddle point solution found using minimax and maximin rules. Mixed strategy games do not have a saddle point and require determining the optimal probabilities that players select each strategy.
This document provides details on 10 decision problems involving operations research and decision theory. The problems cover topics like determining optimal inventory levels, whether to invest in market research, extending credit to customers, and deciding whether to drill for oil or lease land. Complex decision trees, probabilities, costs, and profits are presented to analyze the optimal choices for each scenario.
Decision theory provides a rational methodology for decision-making under uncertainty. It involves identifying decision alternatives, possible future states of nature, and assigning payoffs for each alternative-state combination. Payoff and loss tables are used to evaluate the alternatives. Decision trees graphically display the decision process over time. Non-probabilistic decision rules like maximin (conservative) and maximax (risky) are used when probabilities are unknown, while the Bayes decision rule maximizes expected payoff when probabilities are known. In the example, the firm assessed probabilities for sales levels and the standard truck was chosen as it had the highest expected profit of $18.35.
The city of Metropolis must choose between a wide (WI) or narrow (NI) street to construct, costing $2M or $1M respectively. After 4 years, depending on light (LI) or heavy (HI) traffic, the street may be widened. Maintenance costs over years 1-4 and 5-10 depend on the initial street choice and traffic levels. The optimal strategy for the city is to initially select the wide street (WI) which has the lowest expected total cost over 10 years.
Decision theory is a set of concepts, principles, tools and techniques that help decision makers deal with complex problems under uncertainty. A decision theory problem involves:
1. A decision maker
2. Alternative courses of action that are under the control of the decision maker
3. States of nature or events outside the control of the decision maker
4. Consequences associated with each action-event pair that are measures of costs, benefits, or payoffs.
Decision theory problems can be classified as single-stage or multiple-stage, discrete or continuous, and with or without experimentation to obtain additional information. Discrete decision theory problems can be represented using decision trees that depict actions and events sequentially.
Blockwood Inc. must decide what type of truck to purchase for its operations. Three options are considered: a small import truck, standard pickup, or large flatbed truck. Sales in the first year are expected to fall into one of four categories. A payoff table outlines the expected profits for each truck type across the different sales levels. The document asks to analyze and make a decision using various decision making criteria, including Laplace, Minimax, Maximin, Savage Minimax Regret, and Hurwicz criteria. It also considers incorporating probability assessments and the value of market research.
This document discusses random number generation and properties of pseudo-random numbers. It covers techniques for generating pseudo-random numbers like linear congruential methods and combined congruential methods. It also discusses hypothesis tests that can be used to test for uniformity and independence of random numbers, such as the frequency test, Kolmogorov-Smirnov test, chi-square test, runs test, and autocorrelation test.
Monte Carlo simulation is a technique that uses random numbers and random variates to solve stochastic or deterministic problems that do not involve the passage of time. It is used to evaluate integrals of functions that cannot be directly integrated. The method involves defining a random variable equal to the function multiplied by the interval length and taking the sample mean of this random variable from running multiple simulations, which converges to the true expected value and integral.
This document discusses input modeling for simulation and outlines 4 steps:
1) Collect data from the real system or use expert opinion if data is unavailable
2) Identify a probability distribution to represent the input process
3) Choose parameters for the distribution family by estimating from the data
4) Evaluate the chosen distribution through goodness of fit tests or create an empirical distribution if none is found
1) Random numbers are used as inputs to simulation models and are generated using pseudo-random number generators like the linear congruential method. 2) Conceptual modeling involves describing the problem, inputs, outputs, components and their interactions of the system being modeled in a non-software specific way. 3) Data collection and simplification are important parts of conceptual modeling to develop the simulation model in a faster and more accurate manner.
This document discusses key concepts in discrete event simulation including system models, event lists, time-advance algorithms, and world views. It describes discrete event simulation as modeling systems where state changes occur at discrete points in time. A time-advance algorithm uses an event list to advance the simulation clock to the time of the next scheduled event. The main world views are event scheduling, process-interaction, and activity scanning.
How to Subscribe Newsletter From Odoo 18 WebsiteCeline George
Newsletter is a powerful tool that effectively manage the email marketing . It allows us to send professional looking HTML formatted emails. Under the Mailing Lists in Email Marketing we can find all the Newsletter.
Odoo Inventory Rules and Routes v17 - Odoo SlidesCeline George
Odoo's inventory management system is highly flexible and powerful, allowing businesses to efficiently manage their stock operations through the use of Rules and Routes.
The ever evoilving world of science /7th class science curiosity /samyans aca...Sandeep Swamy
The Ever-Evolving World of
Science
Welcome to Grade 7 Science4not just a textbook with facts, but an invitation to
question, experiment, and explore the beautiful world we live in. From tiny cells
inside a leaf to the movement of celestial bodies, from household materials to
underground water flows, this journey will challenge your thinking and expand
your knowledge.
Notice something special about this book? The page numbers follow the playful
flight of a butterfly and a soaring paper plane! Just as these objects take flight,
learning soars when curiosity leads the way. Simple observations, like paper
planes, have inspired scientific explorations throughout history.
How to Manage Opening & Closing Controls in Odoo 17 POSCeline George
In Odoo 17 Point of Sale, the opening and closing controls are key for cash management. At the start of a shift, cashiers log in and enter the starting cash amount, marking the beginning of financial tracking. Throughout the shift, every transaction is recorded, creating an audit trail.
World war-1(Causes & impacts at a glance) PPT by Simanchala Sarab(BABed,sem-4...larencebapu132
This is short and accurate description of World war-1 (1914-18)
It can give you the perfect factual conceptual clarity on the great war
Regards Simanchala Sarab
Student of BABed(ITEP, Secondary stage)in History at Guru Nanak Dev University Amritsar Punjab 🙏🙏
This chapter provides an in-depth overview of the viscosity of macromolecules, an essential concept in biophysics and medical sciences, especially in understanding fluid behavior like blood flow in the human body.
Key concepts covered include:
✅ Definition and Types of Viscosity: Dynamic vs. Kinematic viscosity, cohesion, and adhesion.
⚙️ Methods of Measuring Viscosity:
Rotary Viscometer
Vibrational Viscometer
Falling Object Method
Capillary Viscometer
🌡️ Factors Affecting Viscosity: Temperature, composition, flow rate.
🩺 Clinical Relevance: Impact of blood viscosity in cardiovascular health.
🌊 Fluid Dynamics: Laminar vs. turbulent flow, Reynolds number.
🔬 Extension Techniques:
Chromatography (adsorption, partition, TLC, etc.)
Electrophoresis (protein/DNA separation)
Sedimentation and Centrifugation methods.
Social Problem-Unemployment .pptx notes for Physiotherapy StudentsDrNidhiAgarwal
Unemployment is a major social problem, by which not only rural population have suffered but also urban population are suffered while they are literate having good qualification.The evil consequences like poverty, frustration, revolution
result in crimes and social disorganization. Therefore, it is
necessary that all efforts be made to have maximum.
employment facilities. The Government of India has already
announced that the question of payment of unemployment
allowance cannot be considered in India
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*Metamorphosis* is a biological process where an animal undergoes a dramatic transformation from a juvenile or larval stage to a adult stage, often involving significant changes in form and structure. This process is commonly seen in insects, amphibians, and some other animals.
How to Set warnings for invoicing specific customers in odooCeline George
Odoo 16 offers a powerful platform for managing sales documents and invoicing efficiently. One of its standout features is the ability to set warnings and block messages for specific customers during the invoicing process.
pulse ppt.pptx Types of pulse , characteristics of pulse , Alteration of pulsesushreesangita003
what is pulse ?
Purpose
physiology and Regulation of pulse
Characteristics of pulse
factors affecting pulse
Sites of pulse
Alteration of pulse
for BSC Nursing 1st semester
for Gnm Nursing 1st year
Students .
vitalsign
2. Verification
Concerned with building the model
right
Comparison of conceptual model
and computer representation
Is the model implemented correctly
in the computer?
Are the inputs and logical
parameters represented properly?
3. Validation
Concerned with building the right
model
Accurate representation of the real
system
This is achieved through the
calibration of the model
Iterative process until accuracy is
acceptable
5. Common sense suggestions
for verification
Have someone check the
computerized model
Make a flow diagram (with logical
actions for each possible event)
Examine model output for
reasonableness
Print the input parameters at the
end of the simulation
6. Common sense suggestions
for verification
Make the computerized
representation as self documenting
as possible
If animated, verify what is seen
Use IRC or debuggers
Use graphical interface
7. Three Classes of Techniques
for Verification
Common sense techniques
Thorough documentation
Traces
8. Calibration and Validation
Validation is the overall process of
comparing the model and its
behavior to the real system and its
behavior
Calibration is the iterative process of
comparing the model to the real
system and making adjustments to
the model, and so on.
9. Iterative Process of
Calibration
REAL SYSTEM
Initial Model
Second
Revision of
Model
First Revision of
Model
Compare Model to
Reality
Compare Revised
Model to Reality
Compare second
Revised Model to
Reality
10. 3 Step Approach by Naylor
and Finger (1967)
Build a model with high face validity
Validate model assumptions
Compare the model input-output
transformations to corresponding
input-output transformations of the
real system
11. Possible validation techniques in
order of increasing cost-value
ratio by Van Horn (1971)
High face validity. Use previous research/
studies/observation/experience
Conduct statistical test for data
homogeneity, randomness, and goodness
of fit test
Conduct Turing test. Have a group of
experts compare model output versus
system output and detect the difference
Compare model output to system output
using statistical tests
12. Possible validation techniques in
order of increasing cost-value
ratio by Van Horn (1971)
After model development, collect
new data and apply previous 3 tests
Build a new system or redesign the
old one based on simulation results
and use this data to validate the
model
Do little or no validation. Implement
results without validating