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| Author: | Sengupta, B. |
| Title: | A queue with service interruptions in an alternating random environment. |
| Journal: | Operations Research
1990 : MAR-APR, VOL. 38:2, p. 308-318 |
| Index terms: | QUEUING THEORY |
| Language: | eng |
| Abstract: | A queue is considered in a random environment defined by an alternating renewal process. While in one of the two states, arrivals occur at different mean rates and the distribution of service time for these arrivals is different. In one of the states the server works and the other denotes breakdown. In manufacturing, computer and communications problems servers may be subject to random breakdowns. The problem may be applicable to cyclic server queues. The distribution of work in the system is derived. The work in the system is shown to be related to the waiting time of a special queue. For the case where off-period distribution is exponential, exact closed-form expression is derived. |
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