Note—On the Marginal Benefit of Adding Servers to G/GI/m Queues | Zendy

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Note—On the Marginal Benefit of Adding Servers to G/GI/m Queues

Author(s) -

Richard Weber

Publication year - 1980

Publication title -

management science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 4.954

H-Index - 255

eISSN - 1526-5501

pISSN - 0025-1909

DOI - 10.1287/mnsc.26.9.946

Subject(s) - server , queueing theory , queue , computer science , function (biology) , computer network , mathematics , mathematical optimization , evolutionary biology , biology

The mean queueing time in a G/GI/m queue is shown to be a nonincreasing and convex function of the number of servers, m. This means that the marginal decrease in mean queueing time brought about by the addition of two extra servers is always less than twice the decrease brought about by the addition of one extra server. As a consequence, a method of marginal analysis is optimal for allocating a number of servers amongst several service facilities so as to minimize the sum of die mean queueing times at the facilities.queues, multiserver, design of queues

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