Batch arrival queues with vacations and server setup
- Title
- Batch arrival queues with vacations and server setup
- Author
- 허선
- Keywords
- queueing; setup; batch arrivals; optimal threshold
- Issue Date
- 2005-12
- Publisher
- ELSEVIER SCIENCE INC
- Citation
- APPLIED MATHEMATICAL MODELLING, v. 29, No. 12, Page. 1164-1181
- Abstract
- We study a single server queueing system whose arrival stream is compound Poisson and service times are generally distributed. Three types of idle period are considered: threshold, multiple vacations, and single vacation. For each model, we assume after the idle period, the server needs a random amount of setup time before serving. We obtain the steady-state distributions of system size and waiting time and expected values of the cycle for each model. We also show that the distributions of system size and waiting time of each model are decomposed into two parts, whose interpretations are provided. As for the threshold model, we propose a method to find the optimal value of threshold to minimize the total expected operating cost. (C) 2005 Elsevier Inc. All rights reserved.
- URI
- https://www.sciencedirect.com/science/article/pii/S0307904X05000399https://repository.hanyang.ac.kr/handle/20.500.11754/110382
- ISSN
- 0307-904X
- DOI
- 10.1016/j.apm.2005.03.002
- Appears in Collections:
- COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > INDUSTRIAL AND MANAGEMENT ENGINEERING(산업경영공학과) > Articles
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