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An analysis of the M/G/1 system with N and T policy
- Authors
- Hur, Sun; Kim, Jong Soo; KANG, CHANG WOOK
- Issue Date
- Aug-2003
- Publisher
- ELSEVIER SCIENCE INC
- Keywords
- control; distribution; optimization; queueing
- Citation
- APPLIED MATHEMATICAL MODELLING, v.27, no.8, pp 665 - 675
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICAL MODELLING
- Volume
- 27
- Number
- 8
- Start Page
- 665
- End Page
- 675
- ISSN
- 0307-904X
1872-8480
- Abstract
- We can optimize the operating cost of an M/G/1 system using various control policies. Existing research results are largely concerned with optimizing the system under a single policy. In this study, we consider an M/G/1 system with two policies, N- and T-policy simultaneously. If either condition of N- or T-policy are satisfied, then the server starts the service. We call this Min(N, T)-policy. We find the probability distribution of the number of customers at a steady state and establish a cost function to reveal the characteristics of the cost function and find the optimal operating policy. (C) 2003 Elsevier Inc. All rights reserved.
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