Optimal hysteretic control for the BMAP/G/1 system with single and group service modes
Annals of Operations Research, ISSN: 0254-5330, Vol: 112, Issue: 1-4, Page: 153-169
2002
- 13Citations
- 4Usage
- 8Captures
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Metrics Details
- Citations13
- Citation Indexes13
- 13
- CrossRef11
- Usage4
- Abstract Views4
- Captures8
- Readers8
Conference Paper Description
In this paper, we consider a single server queuing model with an infinite buffer in which customers arrive according to a batch Markovian arrival process (BMAP). The services are offered in two modes. In mode 1, the customers are served one at a time and in mode 2 customers are served in groups of varying sizes. Various costs for holding, service and switching are imposed. For a given hysteretic strategy, we derive an expression for the cost function from which an optimal hysteretic control can be obtained. Illustrative numerical examples are presented.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0036429780&origin=inward; http://dx.doi.org/10.1023/a:1020985106453; http://link.springer.com/10.1023/A:1020985106453; https://link.springer.com/10.1023/A:1020985106453; https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/21; https://digitalcommons.kettering.edu/cgi/viewcontent.cgi?article=1021&context=industrialmanuf_eng_facultypubs; https://link.springer.com/article/10.1023%2FA%3A1020985106453?LI=true; http://www.springerlink.com/index/M5265N81456660J4.pdf; http://dx.doi.org/10.1023/a%3A1020985106453; https://dx.doi.org/10.1023/a%3A1020985106453; https://link.springer.com/article/10.1023/A:1020985106453
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