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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祖?zhèn)髫敭a(chǎn)

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)).

HARP

Infuriate

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.,

話

978-0-387-90547-1Springer-Verlag New York Inc. 1981

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BORE

斷言

lethal

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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