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An analysis of the $M^{X}/G/1$ system with various vacations and set-up time  

Hur, Sun (한양대학교 산업공학과)
Yoon, Young-Ho (한양대학교 산업공학과)
Ahn, Sun-Eung (한양대학교 산업공학과)
Publication Information
Journal of the Korean Operations Research and Management Science Society / v.27, no.2, 2002 , pp. 111-121 More about this Journal
Abstract
In this paper, we analyze an M$^{x}$ /G/1 with three types of vacation periods including setup time. Three types of vacations are : N-policy, single vacation, and multiple vacation. We consider compound poisson arrival process and general service time, where the server starts his service when a setup is completed. We find the PGF of the number of customers in system and LST of waiting time, with welch we obtain their means. A decomposition property for the system sloe and waiting time is described also.
Keywords
batch arrival; vacation; threshold; setup;
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