E. Hyytiä, Last in Line, Operations Research Letters, vol. 47, no. 2, pp. 140-145, 2019.
Abstract: Queueing is a common praxis in banks, hospitals and transportation, just to name a few. One common performance metric is the mean sojourn time. However, humans experience waiting time in a more complex manner -- they dislike being the last in line. We study queueing systems subject to such a cost structure. For the single M/G/1 queue, we derive the corresponding mean costs, value functions and admission costs, which are then applied to route customers to parallel servers.
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BibTeX entry:
@article{hyytia-orl-2019,
title = {Last in Line},
author = {Esa Hyyti{\"a}},
journal = {Operations Research Letters},
volume = {47},
number = {2},
pages = {140--145},
year = {2019},
doiopt = {10.1016/j.orl.2019.02.001},
keywords = {Queueing, Last-place aversion, M/G/1, Dispatching, MDP},
}