Approximation of M/M/s/K retrial queue with nonpersistent customers |
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Authors: | Yang Woo Shin Dug Hee Moon |
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Affiliation: | 1. Department of Statistics, Changwon National University, Changwon, Gyeongnam 641-773, Republic of Korea;2. Department of Industrial and Systems Engineering, Changwon National University, Changwon, Gyeongnam 641-773, Republic of Korea |
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Abstract: | We consider the M/M/s/K retrial queues in which a customer who is blocked to enter the service facility may leave the system with a probability that depends on the number of attempts of the customer to enter the service facility. Approximation formulae for the distributions of the number of customers in service facility, waiting time in the system and the number of retrials made by a customer during its waiting time are derived. Approximation results are compared with the simulation. |
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Keywords: | Retrial queue Nonpersistent customers Persistence function |
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