Strategic customer behavior in a queueing system with delayed observations

Strategic customer behavior in a queueing system with delayed observations

0.00 Avg rating0 Votes
Article ID: iaor20172885
Volume: 86
Issue: 3
Start Page Number: 389
End Page Number: 418
Publication Date: Aug 2017
Journal: Queueing Systems
Authors:
Keywords: queues: applications, behaviour, decision
Abstract:

We consider the single‐server Markovian queue with infinite waiting space and assume that there exists a certain reward‐cost structure that reflects the customers’ desire for service and their dislike for waiting. The system is unobservable for the customers at their arrival instants, but the administrator provides them with periodic announcements of their current positions at rate θ equ1 , so that they may renege if it is preferable for them to do so. The customers are strategic, and their decision problem is whether to join or not the system upon arrival and whether to stay or renege later. Their strategies are specified by a join probability q and a reneging threshold n. We determine the equilibrium strategies ( n e , q e ) equ2 and study the socially optimal strategies ( n soc , q soc ) equ3 . Extensive numerical experiments provide interesting qualitative insight about the model. In particular, the equilibrium throughput of the system is a unimodal function of θ equ4 . Moreover, despite the fact that we have an avoid‐the‐crowd situation, it is possible that q soc > q e equ5 , in contrast to the classical unobservable model.

Reviews

Required fields are marked *. Your email address will not be published.