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1st International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness

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BibTeX Plain Text
  • @INPROCEEDINGS{10.1145/1190095.1190116,
        author={Ho Woo  Lee and Sahng Hoon  Cheon and Se Won  Lee},
        title={Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness},
        proceedings={1st International ICST Conference on Performance Evaluation Methodologies and Tools},
        publisher={ACM},
        proceedings_a={VALUETOOLS},
        year={2012},
        month={4},
        keywords={MAP/G/1 queue length workload control},
        doi={10.1145/1190095.1190116}
    }
    
  • Ho Woo Lee
    Sahng Hoon Cheon
    Se Won Lee
    Year: 2012
    Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
    VALUETOOLS
    ACM
    DOI: 10.1145/1190095.1190116
Ho Woo Lee1,*, Sahng Hoon Cheon2,*, Se Won Lee1,*
  • 1: Dept. of Systems Management Engineering, Sungkyunkwan University, Suwon, Korea.
  • 2: Consulting Business Unit, Dongbu Inf. Tech. Co., Ltd., Seoul, Korea.
*Contact email: hwlee@skku.edu, shcheon@dongbu.com, swlee94@skku.edu

Abstract

This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and the generalized T-policy (multiple server vacations). We derive the probability generating function of the queue length and the mean queue length. Then we verify our analytical results through simulation. We finally present computational experiences and compare the MAP queue with the Poisson queue.

Keywords
MAP/G/1 queue length workload control
Published
2012-04-06
Publisher
ACM
http://dx.doi.org/10.1145/1190095.1190116
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