Equilibrium Customer Strategies in the Geo/Geo/1 Queue with Single Working Vacation

By Fang Wang, Jinting Wang, Feng Zhang. 2014

18 citations recorded by the source corpus.

This paper is concerned with the equilibrium balking strategies of customers in a Geo/Geo/1 queue with single working vacation. Instead of completely stopping service, the server works with a small probability during the working vacation period. As soon as no customers exist in the system, the server takes a single vacation. The customers decide for themselves whether to enter the system or balk based on a natural reward-cost structure, the information available about the status of the server, and the queue length on hand upon arrival. We obtain the equilibrium balking strategies in two cases: fully observable and fully unobservable cases, which depend on whether the customers know both the queue length and the state of the server or none of them. Finally, we present several numerical experiments that demonstrate the effect of some parameters on the equilibrium behavior.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering, Management Information Systems

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Bo Dai
2. Dale Schuurmans
3. Junfeng Wen
4. Lihong Li

In Electrical and Electronic Engineering

1. Dale Schuurmans
2. Bo Dai
3. Lihong Li
4. Junfeng Wen
5. Masatoshi Uehara
6. Nan Jiang
7. Ofir Nachum
8. Nathan Kallus

In Management Information Systems

1. Bo Dai
2. Junfeng Wen
3. Lihong Li
4. Dale Schuurmans

Citations in the corpus

• Batch Stationary Distribution Estimation (2020, methodology): “Following the standard Kendall’s notation in queueing theory (Haviv, 2009; Ser-fozo, 2009), we analyze the discrete-time Geo/Geo/1 queue, which is commonly used in the literature (Atencia and Moreno, 2004; Li and Tian, 2008; Wang et al., 2014).”