Fairness Among Servers When Capacity Decisions Are Endogenous

• 成果类型: Article
• 署名作者: Geng, Xin; Huh, Woonghee Tim; Nagarajan, Mahesh
• 署名单位: University of British Columbia
• 刊物名称: PRODUCTION AND OPERATIONS MANAGEMENT
• ISSN/ISSBN: 1059-1478
• DOI: 10.1111/poms.12305
• 发表日期: 2015
• 页码: 961-974
• 关键词: justice; service; systems; queues

摘要

We look at a simple service system with two servers serving arriving jobs (single class). Our interest is in examining the effect of routing policies on servers when they care about fairness among themselves, and when they can endogenously choose capacities in response to the routing policy. Therefore, we study the two-server game where the servers' objective functions have a term explicitly modeling fairness. Moreover, we focus on four commonly seen policies that are from one general class. Theoretical results concerning the existence and uniqueness of the Nash equilibrium are proved for some policies. Further managerial insights are given based on simulation studies on servers' equilibrium/off-equilibrium behaviors and the resulting system efficiency performance under different policies.