We study customers’ joining strategies in an M/M/1 constant retrial queue with a single vacation. There is no waiting space in front of the server and a vacation is triggered when the system is empty. If an arriving customer finds the server idle, he occupies the server immediately. Otherwise, if the server is found unavailable, the customer enters a retrial pool called orbit with infinite capacity and becomes a repeated customer. According to the different information provided for customers, we consider two situations, where we investigate system characteristics and customers’ joining or balk decisions based on a linear reward-cost structure. Furthermore, we establish the social welfare of the system and make comparisons between the two information levels. It is found that there exist thresholds of system parameters such that the social planner would prefer revealing more information when the system parameter is greater than or less than the corresponding threshold.
Mots-clés : Queueing, Equilibrium strategies, Retrial, Single vacation, Social welfare
@article{RO_2020__54_2_569_0, author = {Zhang, Yu}, title = {Strategic behavior in the constant retrial queue with a single vacation}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {569--583}, publisher = {EDP-Sciences}, volume = {54}, number = {2}, year = {2020}, doi = {10.1051/ro/2019016}, mrnumber = {4072188}, zbl = {1434.60267}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2019016/} }
TY - JOUR AU - Zhang, Yu TI - Strategic behavior in the constant retrial queue with a single vacation JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 569 EP - 583 VL - 54 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019016/ DO - 10.1051/ro/2019016 LA - en ID - RO_2020__54_2_569_0 ER -
%0 Journal Article %A Zhang, Yu %T Strategic behavior in the constant retrial queue with a single vacation %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 569-583 %V 54 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019016/ %R 10.1051/ro/2019016 %G en %F RO_2020__54_2_569_0
Zhang, Yu. Strategic behavior in the constant retrial queue with a single vacation. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 2, pp. 569-583. doi : 10.1051/ro/2019016. http://www.numdam.org/articles/10.1051/ro/2019016/
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