Admission control with batch arrivals

Authors:
E.Lerzan ÖRmeci;Apostolos Burnetas
Affiliations:
Department of Industrial Engineering, Koç University, Sarıyer 34450, Istanbul, Turkey;Department of Operations, Weatherhead School of Management, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, OH 44106, USA
Venue:
Operations Research Letters
Year:
2004

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Abstract

We consider the problem of dynamic admission control in a multi-class Markovian loss system receiving random batches, where each admitted class-i job demands an exponential service with rate @m, and brings a reward r"i. We show that the optimal admission policy is a sequential threshold policy with monotone thresholds.