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Titlebook: Stochastic Processes in Queueing Theory; A. A. Borovkov Book 1976 Springer-Verlag New York Inc. 1976 Stochastic processes.Stochastischer P

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书目名称Stochastic Processes in Queueing Theory
编辑A. A. Borovkov
视频video
丛书名称Stochastic Modelling and Applied Probability
图书封面Titlebook: Stochastic Processes in Queueing Theory;  A. A. Borovkov Book 1976 Springer-Verlag New York Inc. 1976 Stochastic processes.Stochastischer P
描述The object of queueing theory (or the theory of mass service) is the investigation of stochastic processes of a special form which are called queueing (or service) processes in this book. Two approaches to the definition of these processes are possible depending on the direction of investigation. In accordance with this fact, the exposition of the subject can be broken up into two self-contained parts. The first of these forms the content of this monograph. . The definition of the queueing processes (systems) to be used here is dose to the traditional one and is connected with the introduction of so-called governing random sequences. We will introduce algorithms which describe the governing of a system with the aid of such sequences. Such a definition inevitably becomes rather qualitative since under these conditions a completely formal construction of a stochastic process uniquely describing the evolution of the system would require introduction of a complicated phase space not to mention the difficulties of giving the distribution of such a process on this phase space.
出版日期Book 1976
关键词Stochastic processes; Stochastischer Prozess; Warteschlange; queueing theory; stochastic process
版次1
doihttps://doi.org/10.1007/978-1-4612-9866-3
isbn_softcover978-1-4612-9868-7
isbn_ebook978-1-4612-9866-3Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer-Verlag New York Inc. 1976
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Systems with Refusals, all requests of this group are refused and leave the system. If, however, . < ., then those requests of the group are refused which remain after the idle channels have been filled. Thus, we have q. ≤ . and .(.) ≤ . here and the important parameters of the systems are the probabilities that a customer is refused.
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Book 1976 (or service) processes in this book. Two approaches to the definition of these processes are possible depending on the direction of investigation. In accordance with this fact, the exposition of the subject can be broken up into two self-contained parts. The first of these forms the content of this
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Introduction, will call this the .. The first two components define the so-called .: at times τ., τ. + τ., τ. + τ. + τ., … groups of “requests” (or customers) of sizes ν., ν., ν. …, resp. enter some system. The second pair of components {τ.} and {ν.} describes the “service” process . of these requests: requests
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