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Priority Assignment in Waiting-Line Problems Under Conditions of Misclassification

S. P. van der Zee and H. Theil
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S. P. van der Zee: Econometric Institute, Netherlands School of Economics, Rotterdam, The Netherlands
H. Theil: Econometric Institute, Netherlands School of Economics, Rotterdam, The Netherlands

Operations Research, 1961, vol. 9, issue 6, 875-885

Abstract: This article deals with priority assignment in waiting-line problems in case the classification on which the priorities are based is subject to errors. The expected waiting time under this condition is derived for a two-priority single-channel system. The procedure recommended involves the introduction of a “mixed” group for those customers who cannot be classified with certainty in group 1 or group 2, and to allocate such a customer to this group when the probability that he really belongs to group 1 lies in a certain interval, the limits of which are determined by the basic data of the waiting-line problem (mean service times, arrival rates, etc).

Date: 1961
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