A service model in which the server is required to search for customers

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ID: 270444
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.
Reference Key
ramalhoto1984journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Marcel F. Neuts,M. F. Ramalhoto;Marcel F. Neuts;M. F. Ramalhoto;
Journal journal of applied probability
Year 1984
DOI
10.2307/3213673
URL
https://sciprofiles.com/publication/view/e3aca4aa417e310e968939b80ad2710e
Keywords
service model required to search server is required search for customers

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