Geo/G/1 queues with disasters and general repair times |
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| Authors: | Doo Ho Lee Won Seok Yang Hyun Min Park |
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| Institution: | 1. Department of Industrial and Systems Engineering, KAIST, Daejeon 305-701, Republic of Korea;2. Department of Business Administration, Hannam University, Daejeon 306-791, Republic of Korea;3. Department of Business Administration, Pai Chai University, Daejeon 302-735, Republic of Korea |
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| Abstract: | This paper discusses discrete-time single server Geo/G/1 queues that are subject to failure due to a disaster arrival. Upon a disaster arrival, all present customers leave the system. At a failure epoch, the server is turned off and the repair period immediately begins. The repair times are commonly distributed random variables. We derive the probability generating functions of the queue length distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given. |
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| Keywords: | Geo/G/1 queues Disasters Repair times Queue length Sojourn time |
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