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Titlebook: Stationary Random Processes Associated with Point Processes; Tomasz Rolski Book 1981 Springer-Verlag New York Inc. 1981 Ergodic theory.Pun

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书目名称Stationary Random Processes Associated with Point Processes
编辑Tomasz Rolski
视频video
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Stationary Random Processes Associated with Point Processes;  Tomasz Rolski Book 1981 Springer-Verlag New York Inc. 1981 Ergodic theory.Pun
描述In this set of notes we study a notion 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 known, aswell as new results from queueing or dam theory. Particularly queues which cannot 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 notes, introduce some useful notations, concepts and abbreviations. He also recall basic facts from ergodic theory, an important mathematical tool employed in these notes. Finally some basic notions 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 no counte~ in continuous time. Chapter 3 deals with continuous time theory. It also contains
出版日期Book 1981
关键词Ergodic theory; Punktprozess; Stationärer Prozess; point process; queueing theory
版次1
doihttps://doi.org/10.1007/978-1-4684-6268-5
isbn_softcover978-0-387-90575-4
isbn_ebook978-1-4684-6268-5Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag New York Inc. 1981
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Application to Single Server Queues, to demonstrate how the theory developed can help in dealing with some non-standard queues. In § 2 and 3 we study single server queues with FIFO disciplines not defined by means of a standard stationary generic sequence. In § 4 we study G/G/1 queues with work-conserving, normal disciplines. We demon
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Book 1981wever 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 known, aswell as new results from queueing or dam theory. Particularly queues which cannot be treated by standard techniques serve as illustrations
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0930-0325 oblems. 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 known, aswell as new results from queueing or dam theory. Particularly queues which cannot be treated by standard techniques serve as illu
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Miscellaneous Examples, either an equation determining v. or an operator inequality which sometimes makes it possible to find useful bounds for v or v.. For example if v = v.then from the second type relation we obtain that v fulfills
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Preliminaries,In applied probability one frequently meets random processes which are associated with point processes. This is a typical situation in queueing theory. For example the queue size process or the virtual waiting time process are associated with the point process of instants of arrival.
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