Control policy of a hysteretic queueing system

Lotfi Tadj and Jau-Chuan Ke

Mathematical Methods of Operations Research, 2003, vol. 57, issue 3, 367-376

Abstract: This paper is concerned with the optimal control of a bulk service queueing system under N-policy. If the number of customers in the system at a service completion is larger than some integer r, then the server starts processing a group of r customers. If, on the other hand, it is smaller than r, then the server goes through an idle period and waits for the line to grow up to some integer N (N ≥ r). We present some system characteristics by means of the embedded Markov chains and semi-regenerative techniques. We also construct the expected total cost for this model and develop a procedure to determine the optimal thresholds r and N that yield the minimum cost. Copyright Springer-Verlag Berlin Heidelberg 2003

Keywords: AMS Subject Classification: Primary 60K10; 60K25; secondary 90B22; 90B25.; Key words: Queue; hysteresis; embedded Markov chain; semi-regenerative process; control policy (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:57:y:2003:i:3:p:367-376

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DOI: 10.1007/s001860200264

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