Operational behavior of the MAP/G/1 queue under N-policy with a single vacation and set-up

Operational behavior of the MAP/G/1 queue under N-policy with a single vacation and set-up

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Article ID: iaor2004413
Country: United States
Volume: 15
Issue: 2
Start Page Number: 167
End Page Number: 196
Publication Date: Apr 2002
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: ,
Keywords: MAP/G/1 queues, vacation models
Abstract:

This paper considers the MAP/G/1 queue under N-policy with a single vacation and set-up. We derive the vector generating functions of the queue length at an arbitrary time and at departures in decomposed forms. We also derive the Laplace–Stieltjes transform of the waiting time. Computation algorithms for mean performance measures are provided.

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