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About this product
- DescriptionIn this set of tes we study a tion of a random process assoc- ted with a point process. The presented theory was inSpired by q- ueing problems. However it seems to be of interest in other branches of applied probability, as for example reliability or dam theory. Using developed tools, we work out kwn, aswell as new results from queueing or dam theory. Particularly queues which cant be treated by standard techniques serve as illustrations of the theory. In Chapter 1 the preliminaries are given. We acquaint the reader with the main ideas of these tes, introduce some useful tations, concepts and abbreviations. He also recall basic facts from ergodic theory, an important mathematical tool employed in these tes. Finally some basic tions from queues are reviewed. Chapter 2 deals with discrete time theory. It serves two purposes. The first one is to let the reader get acquainted with the main lines of the theory needed in continuous time without being bothered by tech- nical details. However the discrete time theory also seems to be of interest itself. There are examples which have counte~ in continuous time. Chapter 3 deals with continuous time theory. It also contains many basic results from queueing or dam theory. Three applications of the continuous time theory are given in Chapter 4. We show how to use the theory in order to get some useful bounds for the stationary distribution of a random process.
- Author(s)Tomasz Rolski
- PublisherSpringer-Verlag New York Inc.
- Date of Publication21/05/1981
- Series TitleLecture Notes in Statistics
- Series Part/Volume Number5
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight242 g
- Width155 mm
- Height235 mm
- Spine8 mm
- Edition StatementSoftcover reprint of the original 1st ed. 1981
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