Dynamics of the M / G /1 Vacation Model

J. Keilson and L. D. Servi
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J. Keilson: University of Rochester, Rochester, New York
L. D. Servi: GTE Laboratories, Waltham, Massachusetts

Operations Research, 1987, vol. 35, issue 4, 575-582

Abstract: An M / G /1 processor schedule attends to auxiliary vacation tasks iteratively. We describe the influence of these tasks on the dynamic behavior of the system and obtain, for several cases of interest, the relaxation time of the vacation system required to validate steady-state approximations. Finally, we find the distribution of the duration of the primary busy period, the vacation busy period, and an associated cycle time.

Keywords: 681 vacation models; 704 relaxation times (search for similar items in EconPapers)
Date: 1987
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