Open Access
2012 Random N -Policy Geo/G/1 Queue with Startup and Closedown Times
Tsung-Yin Wang
J. Appl. Math. 2012: 1-19 (2012). DOI: 10.1155/2012/793801


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.


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Tsung-Yin Wang. "Random N -Policy Geo/G/1 Queue with Startup and Closedown Times." J. Appl. Math. 2012 1 - 19, 2012.


Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1264.90066
MathSciNet: MR2997251
Digital Object Identifier: 10.1155/2012/793801

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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