The Israeli Queue with a general group-joining policy

Nir Perel () and Uri Yechiali ()
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Nir Perel: Tel-Aviv University
Uri Yechiali: Tel-Aviv University

Annals of Operations Research, 2022, vol. 317, issue 1, No 10, 179-212

Abstract: Abstract We consider a single-server multi-queue system with unlimited-size batch service where the next queue to be served is the one with the most senior customer (the so called ‘Israeli Queue’). We study a Markovian system with state-dependent group-joining policy and derive results for various performance measures, such as steady-state distribution of the number of groups in the system, sojourn times, group sizes, and lengths of busy periods. Closed-form expressions are obtained for both the Uniform and the Geometric joining policies. Numerical results are presented.

Keywords: Queueing; Unlimited-size batch service; Israeli Queue; Sojourn times; Group sizes; Busy periods; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-015-1942-1

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