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

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  • Tsung-Yin Wang

Abstract

This study investigates a random -policy Geo/G/1 queue with startup and closedown times. is newly determined every time a new cycle begins. When random 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.

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  • Tsung-Yin Wang, 2012. "Random -Policy Geo/G/1 Queue with Startup and Closedown Times," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, November.
    • Handle: RePEc:hin:jnljam:793801
    DOI: 10.1155/2012/793801
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