A Queueing System with Auxiliary Servers

Linda Green
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Linda Green: Graduate School of Business, Columbia University, New York, New York 10027

Management Science, 1984, vol. 30, issue 10, 1207-1216

Abstract: We examine a queueing system with multiple primary servers and a fewer number of auxiliary servers. There are two classes of customers---those who require service from a primary server working alone and those who require service from a primary server who is assisted by an auxiliary server. Though the apparent Markovian state space is five-dimensional, we show that an aggregation results in an exact two-dimensional representation which is Markovian. Matrix geometric theory is used to obtain approximations for the mean delay and blocking probability of each customer type.

Keywords: multiple server queues; distinguishable customers (search for similar items in EconPapers)
Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:30:y:1984:i:10:p:1207-1216

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