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Shortest Expected Delay Routing for Erlang Servers.
Adan IJBF; Wessels J
发表日期1993
出处Eindhoven University of Technology , Eindhoven, Netherlands.
出版年1993
语种英语
摘要The queueing problem with a Poisson arrival stream and two identical Erlang servers is analysed for the queueing discipline based on shortest expected delay. This queueing problem may be represented as a random walk on the integer grid in the first quadrant of the plane. In the paper it is shown that the equilibrium distribution of this random walk can be written as a countable linear combination of product forms. This linear combination is constructed in a compensation procedure. In this case the compensation procedure is essentially more complicated than in other cases where the same idea was exploited. The reason for the complications is that in this case the boundary consists of several layers which in turn is caused by the fact that transitions starting in inner states are not restricted to end in neighbouring states. Good starting solutions for the compensation procedure are found by solving the shortest expected delay problem with the same service distributions but with instantaneous jockeying. It is also shown that the results can be used for an efficient computation of relevant performance criteria.
主题Methodology of Decision Analysis (MDA)
URLhttp://pure.iiasa.ac.at/id/eprint/4401/
来源智库International Institute for Applied Systems Analysis (Austria)
资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/134727
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GB/T 7714
Adan IJBF,Wessels J. Shortest Expected Delay Routing for Erlang Servers.. 1993.
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