On strategic customers in the group-merging Israeli queue

Gabi Hanukov (), Efrat Perel () and Nir Perel ()
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Gabi Hanukov: Ariel University
Efrat Perel: Afeka the Academic College of Engineering in Tel Aviv
Nir Perel: Afeka the Academic College of Engineering in Tel Aviv

Queueing Systems: Theory and Applications, 2025, vol. 109, issue 2, No 6, 26 pages

Abstract: Abstract This paper introduces the Group-Merging Israeli Queue, an extension of the Israeli Queue model, where arriving customers, in addition to joining or creating groups, can merge two adjacent waiting customers and their respective groups into a single group for batch service. The Group-Merging Israeli Queue is formulated, and various performance measures are calculated. Furthermore, strategic customer behavior in the system is analyzed. Novel findings include the derivation of customer joining thresholds under various scenarios and the demonstration of the effect of the system parameters on customer behavior. Despite customer strategic behavior, the study reveals that the queue can remain unbounded. In addition, an economic study from the system’s perspective is presented, from which managerial decisions are derived.

Keywords: Israeli queue; Strategic customers; Information; Threshold strategy; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11134-025-09944-3

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