國立東華大學應用數學系

專    題    演    講

主講人：Prof. Winfried Grassmann

                   Department of of Computer Science, University of Saskatchewan

講     題：Transient Solutions for Multi-server Queues with Finite Buffers

時     間：103 年 04月 11 日 (星期五)  15: 20-16:50

地     點：理工一館 A324 會議室

大   綱

 Transient solutions for M/M/c queues are important for staffing call centers, police stations, hospitals and similar institutions. In this paper we show how to find transient solutions for M/M/c queues with finite buffers by using eigenvalues and eigenvectors. To find the eigenvalues, we create a system of difference equations where the coefficients depend on a parameter x. These difference equations allow us to search for all eigenvalues by changing x. To facilitate the search, we use Sturm sequences for locating the eigenvalues. We also show that the resulting method is numerically stable.

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