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Titlebook: Approximate Stochastic Behavior of n-Server Service Systems with Large n; Gordon F. Newell Book 1973 Springer-Verlag Berlin · Heidelberg 1

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发表于 2025-3-21 16:40:02 | 显示全部楼层 |阅读模式
期刊全称Approximate Stochastic Behavior of n-Server Service Systems with Large n
影响因子2023Gordon F. Newell
视频video
学科分类Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Approximate Stochastic Behavior of n-Server Service Systems with Large n;  Gordon F. Newell Book 1973 Springer-Verlag Berlin · Heidelberg 1
影响因子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
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Qualitativ-empirische Vorstudie,mplications were due mostly to a variety of possible shapes of the curves E{A.(t)}, E{D(t)}, etc., in the deterministic approximations. Stochastic effects were relatively small but also easily handled because they did not accumulate.
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General Formulation,racy with which any conclusions can be applied to practical problems. Thirdly, particularly for non-stationary behavior, the “solutions” describing the evolution of even the simplest systems are usually so complicated as to be useless for computation.
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0075-8442 tiple 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
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Equilibrium Distributions,ly in the latter case, because new time constants associated with the relaxation time of fluctuations had to be compared with E{S} and various time parameters of ρ(t). So far, we have not done much more than to identify these various types, describe some qualitative properties, and suggest how they might be analysed.
发表于 2025-3-23 04:53:43 | 显示全部楼层
0075-8442 y 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 serving978-3-540-06366-7978-3-642-65651-4Series ISSN 0075-8442 Series E-ISSN 2196-9957
发表于 2025-3-23 08:00:41 | 显示全部楼层
Approximate Stochastic Behavior of n-Server Service Systems with Large n
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