The M/M/NRepairable Queueing System with Variable Breakdown Rates | Zendy

Shengli Lv | Zendy; Jingbo Li | Zendy

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The M/M/NRepairable Queueing System with Variable Breakdown Rates

Author(s) -

Shengli Lv,

Jingbo Li

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/173407

Subject(s) - algorithm , poisson distribution , server , computer science , exponential distribution , queueing theory , function (biology) , exponential function , mathematics , statistics , mathematical analysis , operating system , evolutionary biology , biology

This paper considers the M/M/N repairable queuing system. The customers' arrivalis a Poisson process. The servers are subject to breakdown according to Poisson processes withdifferent rates in idle time and busy time, respectively. The breakdown servers are repaired by repairmen,and the repair time is an exponential distribution. Using probability generating functionand transform method, we obtain the steady-state probabilities of the system states, the steady-stateavailability of the servers, and the mean queueing length of the model

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