We study customers’ equilibrium behaviour and social optimization in a single-server Markovian queue with impatient customers and variant of multiple working vacations, where the impatience is due to slow service rate. Under the variant of multiple working vacations, the server takes a working vacation as soon as the system gets empty. When an arriving customer joins the vacation system, it activates an impatience timer. If its patience timer expires before it gets service, the customer abandons the system, and never returns. The server is allowed to take at most successive working vacations, if at the end of a working vacation the system remains empty. An arriving customer takes a decision on the basis of available information whether to join or to balk, which unifies wish for the service as well as reluctance to wait. We discuss equilibrium threshold strategies on the basis of linear reward-cost structure in the fully observable and fully unobservable cases. We present numerical results that establish the impact of the information level as well as various parameters on the equilibrium balking strategies and social benefits. The research outputs may be useful for decision makers to convey information to customers in net benefit maximization and for examining the corresponding social optimization problems.
Mots-clés : Equilibrium balking strategies, customer impatience, multiple working vacations, social optimization
@article{RO_2017__51_3_685_0,
author = {Panda, Gopinath and Goswami, Veena and Banik, Abhijit Datta},
title = {Equilibrium behaviour and social optimization in {Markovian} queues with impatient customers and variant of working vacations},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {685--707},
publisher = {EDP-Sciences},
volume = {51},
number = {3},
year = {2017},
doi = {10.1051/ro/2016056},
mrnumber = {3880519},
zbl = {1382.60113},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2016056/}
}
TY - JOUR AU - Panda, Gopinath AU - Goswami, Veena AU - Banik, Abhijit Datta TI - Equilibrium behaviour and social optimization in Markovian queues with impatient customers and variant of working vacations JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 685 EP - 707 VL - 51 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2016056/ DO - 10.1051/ro/2016056 LA - en ID - RO_2017__51_3_685_0 ER -
%0 Journal Article %A Panda, Gopinath %A Goswami, Veena %A Banik, Abhijit Datta %T Equilibrium behaviour and social optimization in Markovian queues with impatient customers and variant of working vacations %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 685-707 %V 51 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2016056/ %R 10.1051/ro/2016056 %G en %F RO_2017__51_3_685_0
Panda, Gopinath; Goswami, Veena; Banik, Abhijit Datta. Equilibrium behaviour and social optimization in Markovian queues with impatient customers and variant of working vacations. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 685-707. doi : 10.1051/ro/2016056. http://archive.numdam.org/articles/10.1051/ro/2016056/
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