A service model in which the server is required to search for customers
- 1 March 1984
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 21 (1), 157-166
- https://doi.org/10.2307/3213673
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.Keywords
This publication has 3 references indexed in Scilit:
- Letters to the EditorJournal of Applied Probability, 1982
- WarteschlangenPublished by Springer Science and Business Media LLC ,1973
- A Service System with Unfilled Requests RepeatedOperations Research, 1968