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De invloed van een prioriteitsregeling op de gemiddelde wachttijd

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  • F. W. Steutel

Abstract

The effect of priorities on the average waitingtime. A waitingtime process is described in terms of customers arriving at a single counter. In the first part of the article the formulae of A. C obham [1] and [2] for the case of two priorities are applied to the following situation: customers arrive in such a way that the interarrival times s are mutually independent and exponentially distributed with mean λ‐1. Servicetimes s are mutually independent and independent of the interarrival times. The distributionfunction of s is indicated by B (s), the mean of s by μ. The customers are divided in two groups, group 1 consisting of the customers having servicetimes cμ, group 2 of those having servicetimes > cμ, c being a positive number. Servicing takes place as follows: priority is given to customers of group 1 i.e. service of a customer of group 2 starts only if no customers of group 1 are present, customers of the same group are served in the order of their arrival, servicing of a customer is not interrupted. Keeping λμ

Suggested Citation

  • F. W. Steutel, 1959. "De invloed van een prioriteitsregeling op de gemiddelde wachttijd," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 13(4), pages 503-513, December.
    • Handle: RePEc:bla:stanee:v:13:y:1959:i:4:p:503-513
    DOI: 10.1111/j.1467-9574.1959.tb01025.x
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