Random N‐Policy Geo/G/1 Queue with Startup and Closedown Times

Tsung-Yin Wang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: This study investigates a random N‐policy Geo/G/1 queue with startup and closedown times. N is newly determined every time a new cycle begins. When random N customers are accumulated, the server is immediately turned on but is temporarily unavailable to the waiting customers. It needs a startup time before starting providing service. After all customers in the system are served exhaustively, the server is shut down by a closedown time. Using the generating function and supplementary variable technique, analytic solutions of system size, lengths of state periods, and sojourn time are derived.

Date: 2012
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https://doi.org/10.1155/2012/793801

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:793801

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