Regeneration and Networks of Queues

Gerald S. Shedler

ISBN 10: 0387964258 / ISBN 13: 9780387964256

Verlag: Springer, Springer, 1986

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - Networks of queues arise frequently as models for a wide variety of congestion phenomena. Discrete event simulation is often the only available means for studying the behavior of complex networks and many such simulations are non Markovian in the sense that the underlying stochastic process cannot be repre sented as a continuous time Markov chain with countable state space. Based on representation of the underlying stochastic process of the simulation as a gen eralized semi-Markov process, this book develops probabilistic and statistical methods for discrete event simulation of networks of queues. The emphasis is on the use of underlying regenerative stochastic process structure for the design of simulation experiments and the analysis of simulation output. The most obvious methodological advantage of simulation is that in principle it is applicable to stochastic systems of arbitrary complexity. In practice, however, it is often a decidedly nontrivial matter to obtain from a simulation information that is both useful and accurate, and to obtain it in an efficient manner. These difficulties arise primarily from the inherent variability in a stochastic system, and it is necessary to seek theoretically sound and computationally efficient methods for carrying out the simulation. Apart from implementation consider ations, important concerns for simulation relate to efficient methods for generating sample paths of the underlying stochastic process. the design of simulation ex periments, and the analysis of simulation output.

Bestandsnummer des Verkäufers 9780387964256

Bibliografische Details

• Titel: Regeneration and Networks of Queues
• Verlag: Springer, Springer
• Erscheinungsjahr: 1986
• Sprache: Englisch
• ISBN-10: 0387964258
• ISBN-13: 9780387964256
• Einband: Buch
• Zustand: Neu
• Abmessungen: 241B x 160 H x 18 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 18 mm
• Gewicht: 524 Gramm

Über diesen Titel

Inhaltsangabe

Networks of queues arise frequently as models for a wide variety of congestion phenomena. Discrete event simulation is often the only available means for studying the behavior of complex networks and many such simulations are non­ Markovian in the sense that the underlying stochastic process cannot be repre­ sented as a continuous time Markov chain with countable state space. Based on representation of the underlying stochastic process of the simulation as a gen­ eralized semi-Markov process, this book develops probabilistic and statistical methods for discrete event simulation of networks of queues. The emphasis is on the use of underlying regenerative stochastic process structure for the design of simulation experiments and the analysis of simulation output. The most obvious methodological advantage of simulation is that in principle it is applicable to stochastic systems of arbitrary complexity. In practice, however, it is often a decidedly nontrivial matter to obtain from a simulation information that is both useful and accurate, and to obtain it in an efficient manner. These difficulties arise primarily from the inherent variability in a stochastic system, and it is necessary to seek theoretically sound and computationally efficient methods for carrying out the simulation. Apart from implementation consider­ ations, important concerns for simulation relate to efficient methods for generating sample paths of the underlying stochastic process. the design of simulation ex­ periments, and the analysis of simulation output.

Über die Autorin bzw. den Autor

Dipl.-Psych. Mechtild Gomolla, Fachbereich Erziehungs- und Kulturwissenschaften, Universität Osnabrück; Dr. Frank-Olaf Radtke, Professor am Fachbereich Erziehungswissenschaften, Johann Wolfgang Goethe-Universität Frankfurt/Main.