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Approximate stochastic behavior of n-server service systems with large n, (Lecture notes in economics and mathematical systems)

G. F Newell

Published by Springer, 1973
ISBN 10: 0387063668 / ISBN 13: 9780387063669
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Title: Approximate stochastic behavior of n-server ...

Publisher: Springer

Publication Date: 1973

Binding: Hardcover

Book Condition: Very Good

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From Math/Stat Library, University of California, Berkeley, with some library markings. Lightly read. No other marks in book. Original paperback rebound in University Library hardcover. Study deals with the G/G/n system; n servers in parallel with independent service times serving a fairly general type of customer arrival process. Four chapters: General Formulation; Approximation Methods; Approximations for Short Service Times; Equilibrium Distributions. Some illustrations, many formulae. Bookseller Inventory # 003337

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Synopsis: For many stochastic service systems, service capacities large enough to serve some given customer demand is achieved simply by providing multiple servers of low capacity; for example, toll plazas have many toll collectors, banks have many t- lers, bus lines have many buses, etc. If queueing exists and the typical queue size is large compared with the number n of servers, all servers are kept busy most of the time and the service behaves like some "effective" single server wit:l mean se.- vice time lin times that of an actual server. The behavior of the queueing system can be described, at least approximately, by use of known results from the much studied single-channel queueing system. For n» 1 , however, (we are thinking p- ticularlyof cases in which n ~ 10), the system may be rather congested and quite sensitive to variations in demand even when the average queue is small compared with n. The behavior of such a system will, generally, differ quite significantly from any "equivalent" single-server system. The following study deals with what, in the customary classification of queueing systems, is called the G/G/n system; n servers in parallel with independent s- vice times serving a fairly general type of customer arrival process. rhe arrival rate of customers may be time-dependent; particular attention is given to time - pendence typical of a "rush hour" in which the arrival rate has a single maximum possibly exceeding the capacity of the service.

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