Simulating Stable Stochastic Systems, III: Regenerative Processes and Discrete Event Simulations

Simulating Stable Stochastic Systems, III: Regenerative Processes and Discrete Event Simulations PDF Author: Michael A. Crane
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
An earlier developed technique for analyzing simulations of GI/G/S queues and Markov chains is shown to apply to discrete-event simulations which can be modeled as regenerative processes. It is possible to address questions of simulation run duration and of starting and stopping simulations because of the existence of a random grouping of observations which produces independent identically distributed blocks in the course of the simulation. This grouping allows one to obtain confidence intervals for a general function of the steady-state distribution of the process being simulated and for the asymptotic cost per unit time. The technique is illustrated with a simulation of a retail inventory distribution system. (Author).

Simulating Stable Stochastic Systems, III: Regenerative Processes and Discrete Event Simulations

Simulating Stable Stochastic Systems, III: Regenerative Processes and Discrete Event Simulations PDF Author: Michael A. Crane
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
An earlier developed technique for analyzing simulations of GI/G/S queues and Markov chains is shown to apply to discrete-event simulations which can be modeled as regenerative processes. It is possible to address questions of simulation run duration and of starting and stopping simulations because of the existence of a random grouping of observations which produces independent identically distributed blocks in the course of the simulation. This grouping allows one to obtain confidence intervals for a general function of the steady-state distribution of the process being simulated and for the asymptotic cost per unit time. The technique is illustrated with a simulation of a retail inventory distribution system. (Author).

Regenerative Stochastic Simulation

Regenerative Stochastic Simulation PDF Author: Gerald S. Shedler
Publisher: Elsevier
ISBN: 0080925723
Category : Mathematics
Languages : en
Pages : 412

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Book Description
Simulation is a controlled statistical sampling technique that can be used to study complex stochastic systems when analytic and/or numerical techniques do not suffice. The focus of this book is on simulations of discrete-event stochastic systems; namely, simulations in which stochastic state transitions occur only at an increasing sequence of random times. The discussion emphasizes simulations on a finite or countably infinite state space.* Develops probabilistic methods for simulation of discrete-event stochastic systems* Emphasizes stochastic modeling and estimation procedures based on limit theorems for regenerative stochastic processes* Includes engineering applications of discrete-even simulation to computer, communication, manufacturing, and transportation systems* Focuses on simulations with an underlying stochastic process that can specified as a generalized semi-Markov process* Unique approach to simulation, with heavy emphasis on stochastic modeling* Includes engineering applications for computer, communication, manufacturing, and transportation systems

An Introduction to the Regenerative Method for Simulation Analysis

An Introduction to the Regenerative Method for Simulation Analysis PDF Author: M. A. Crane
Publisher: Springer
ISBN:
Category : Case method
Languages : en
Pages : 126

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Book Description
The purpose of this report is to provide an introduction to the regenerative method for simulation analysis. The simulations are simulations of stochastic systems, i.e., systems with random elements. The regenerative approach leads to a statistical methodology for analyzing the output of those simulations which have the property of 'starting afresh probabilistically' from time to time. The class of such simulations is very large and very important, including simulations of a broad variety of queues and queueing networks, inventory systems, inspection, maintenance, and repair operations, and numerous other situations.

Regenerative Stochastic Simulation: Discrete Event Systems

Regenerative Stochastic Simulation: Discrete Event Systems PDF Author: International Business Machines Corporation. Research Division
Publisher:
ISBN:
Category : Markov processes
Languages : en
Pages : 60

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Book Description


Regenerative Simulation of Non-Markovian Stochastic Systems

Regenerative Simulation of Non-Markovian Stochastic Systems PDF Author: International Business Machines Corporation. Research Division
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
Discrete-event simulations are often non-Markovian in the sense that the underlying stochastic process of the simulation cannot be modeled as a Markov chain with countable state space. We discuss regenerative simulation methods for non-Markovian systems whose underlying stochastic process can be represented as a generalized semi-Markov process. Applications to modeling and simulation of ring and bus networks are given. Keywords include: Regenerative simulation; Generalized semi-Markov processes; Non-Markovian systems; Recurrence and regeneration; Ring and bus networks.

Stochastic Simulation

Stochastic Simulation PDF Author: Brian D. Ripley
Publisher: John Wiley & Sons
ISBN: 0470317388
Category : Mathematics
Languages : en
Pages : 258

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Book Description
WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. ". . .this is a very competently written and useful addition to the statistical literature; a book every statistician should look at and that many should study!" —Short Book Reviews, International Statistical Institute ". . .reading this book was an enjoyable learning experience. The suggestions and recommendations on the methods [make] this book an excellent reference for anyone interested in simulation. With its compact structure and good coverage of material, it [is] an excellent textbook for a simulation course." —Technometrics ". . .this work is an excellent comprehensive guide to simulation methods, written by a very competent author. It is especially recommended for those users of simulation methods who want more than a 'cook book'. " —Mathematics Abstracts This book is a comprehensive guide to simulation methods with explicit recommendations of methods and algorithms. It covers both the technical aspects of the subject, such as the generation of random numbers, non-uniform random variates and stochastic processes, and the use of simulation. Supported by the relevant mathematical theory, the text contains a great deal of unpublished research material, including coverage of the analysis of shift-register generators, sensitivity analysis of normal variate generators, analysis of simulation output, and more.

Simulating Stable Stochastic Systems. VII. Selecting Best System

Simulating Stable Stochastic Systems. VII. Selecting Best System PDF Author: Donald L. Iglehart
Publisher:
ISBN:
Category :
Languages : en
Pages : 31

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Book Description
In this paper the author continues the study of the regenerative method for analyzing simulations of stable stochastic systems. Methods are proposed here for selecting the best system from among k systems according to a prescribed criterion function.

Simulation Techniques for Discrete Event Systems

Simulation Techniques for Discrete Event Systems PDF Author: I. Mitrani
Publisher: Cambridge University Press
ISBN: 9780521238854
Category : Computers
Languages : en
Pages : 200

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Book Description
To perform computer simulation successfully, two rather different sets of skills are required. One of these relates to programming: a simulation program should do what its author intends and do it efficiently. The other is concerned with the collection and analysis of data: statistical tools have to be used in order to obtain with a minimum of effort, accurate and reliable estimates for the desired performance measures. Dr Mitrani covers both of these aspects of the simulation method. The important topics of point and interval estimation, simulation efficiency and the analysis of simulation experiments are discussed in detail. This book, first published in 1982, will be useful to both undergraduate and postgraduate students taking courses on simulation in departments of computer science, operations research and statistics in universities and polytechnics. It will be of benefit also to practitioners in the field.

Handbook of Simulation

Handbook of Simulation PDF Author: Jerry Banks
Publisher: John Wiley & Sons
ISBN: 9780471134039
Category : Technology & Engineering
Languages : en
Pages : 868

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Book Description
Dieses Buch ist eine unschätzbare Informationsquelle für alle Ingenieure, Designer, Manager und Techniker bei Entwicklung, Studium und Anwendung einer großen Vielzahl von Simulationstechniken. Es vereint die Arbeit internationaler Simulationsexperten aus Industrie und Forschung. Alle Aspekte der Simulation werden in diesem umfangreichen Nachschlagewerk abgedeckt. Der Leser wird vertraut gemacht mit den verschiedenen Techniken von Industriesimulationen sowie mit Einsatz, Anwendungen und Entwicklungen. Neueste Fortschritte wie z.B. objektorientierte Programmierung werden ebenso behandelt wie Richtlinien für den erfolgreichen Umgang mit simulationsgestützten Prozessen. Auch gibt es eine Liste mit den wichtigsten Vertriebs- und Zulieferadressen. (10/98)

The Regenerative Method for Simulation Analysis

The Regenerative Method for Simulation Analysis PDF Author: Donald L. Iglehart
Publisher:
ISBN:
Category :
Languages : en
Pages : 46

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Book Description
This paper contains an expository account of the regenerative method for simulating stable stochastic systems.