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Titlebook: Stochastic Monotonicity and Queueing Applications of Birth-Death Processes; E. A. Doorn Book 1981 Springer-Verlag New York Inc. 1981 Gebur

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發(fā)表于 2025-3-21 18:45:51 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Stochastic Monotonicity and Queueing Applications of Birth-Death Processes
編輯E. A. Doorn
視頻videohttp://file.papertrans.cn/879/878036/878036.mp4
叢書名稱Lecture Notes in Statistics
圖書封面Titlebook: Stochastic Monotonicity and Queueing Applications of Birth-Death Processes;  E. A. Doorn Book 1981 Springer-Verlag New York Inc. 1981 Gebur
描述A stochastic process {X(t): 0 S t < =} with discrete state space S c ~ is said to be stochastically increasing (decreasing) on an interval T if the probabilities Pr{X(t) > i}, i E S, are increasing (decreasing) with t on T. Stochastic monotonicity is a basic structural property for process behaviour. It gives rise to meaningful bounds for various quantities such as the moments of the process, and provides the mathematical groundwork for approximation algorithms. Obviously, stochastic monotonicity becomes a more tractable subject for analysis if the processes under consideration are such that stochastic mono tonicity on an inter- val 0 < t < E implies stochastic monotonicity on the entire time axis. DALEY (1968) was the first to discuss a similar property in the context of discrete time Markov chains. Unfortunately, he called this property "stochastic monotonicity", it is more appropriate, however, to speak of processes with monotone transition operators. KEILSON and KESTER (1977) have demonstrated the prevalence of this phenomenon in discrete and continuous time Markov processes. They (and others) have also given a necessary and sufficient condition for a (temporally homogeneous) M
出版日期Book 1981
關(guān)鍵詞Geburts- und Todesprozess (Statistik); Markov chain; Markov process; Monotoner Operator; Warteschlange; b
版次1
doihttps://doi.org/10.1007/978-1-4612-5883-4
isbn_softcover978-0-387-90547-1
isbn_ebook978-1-4612-5883-4Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag New York Inc. 1981
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沙發(fā)
發(fā)表于 2025-3-21 23:53:14 | 只看該作者
A Queueing Model Where Potential Customers are Discouraged by Queue Length,We consider the birth-death process {X(t): 0 ≤ t < ∞} with parameters . which serves as a single server queueing model where potential customers are discouraged by queue length (cf. Conolly (1975), Hadidi (1975) and Natvig (1974, 1975)).
板凳
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地板
發(fā)表于 2025-3-22 07:15:47 | 只看該作者
The Mean of Birth-Death Processes,Consider a natural birth-death process {X(t): 0 ≤ t < ∞} with μ. = 0 and let m(t) denote the first moment of X(t), i.e.,
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發(fā)表于 2025-3-22 09:59:07 | 只看該作者
978-0-387-90547-1Springer-Verlag New York Inc. 1981
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發(fā)表于 2025-3-23 03:03:16 | 只看該作者
The Truncated Birth-Death Process, with transition probability functions . which satisfy the conditions . and for i ∈ S = {0, 1,..., N},. as t → 0, where λ. and μ., i ∈ S, are non-negative constants. Throughout this chapter we assume λ. > 0 for i ∈ S{N} and μ. > 0 for i ∈ S{0}.
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