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http://dx.doi.org/10.12941/jksiam.2014.18.295

ANALYSIS OF THE MMPP/G/1/K QUEUE WITH A MODIFIED STATE-DEPENDENT SERVICE RATE  

Choi, Doo Il (DEPARTMENT OF APPLIED MATHEMATICS, HALLA UNIVERSITY)
Kim, Bokeun (SCM CONSULTING GROUP 2, SAMSUNG SDS)
Lim, Dae-Eun (DIVISION OF BUSINESS AND COMMERCE, BAEKSEOK UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.18, no.4, 2014 , pp. 295-304 More about this Journal
Abstract
We analyze theMMPP/G/1/K queue with a modified state-dependent service rate. The service time of customers upon service initiation is changed if the number of customers in the system reaches a threshold. Then, the changed service time is continued until the system becomes empty completely, and this process is repeated. We analyze this system using an embedded Markov chain and a supplementary variable method, and present the queue length distributions at a customer's departure epochs and then at an arbitrary time.
Keywords
State-dependent service; Controllable service rate; Finite queue; Markov modulated Poisson process;
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