A service model in which the server is required to search for customers
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1984
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Abstract
Customers enter a pool according to a Poisson process and wait there to be found and processed by a single server. The service times of successive items are independent and have a common general distribution. Successive services are separated by seek phases during which the server searches for the next customer. The search process is Markovian and the probability of locating a customer in (t, t + dt) is proportional to the number of customers in the pool at time t. Various stationary probability distributions for this model are obtained in explicit forms well-suited for numerical computation.Under the assumption of exponential service times, corresponding results are obtained for the case where customers may escape from the pool.
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ramalhoto1984journala
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| Authors | Marcel F. Neuts,M. F. Ramalhoto;Marcel F. Neuts;M. F. Ramalhoto; |
| Journal | journal of applied probability |
| Year | 1984 |
| DOI |
10.2307/3213673
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