Equilibrium and socially optimal strategies of a double-sided queueing system with two-mass point matching time. Issue 1 (2nd January 2023)

• Record Type: Journal Article
• Authors: Wang, Zhen; Yang, Cheryl; Zhao, Yiqiang Q.
• Is Part Of: Quality technology & quantitative management. Volume 20:Issue 1(2023)
• Page Start: 89
• Page End: 112
• Publication Date: 2023-01-02
• Subjects: N-policy -- negative passengers -- equilibrium strategies -- two-point matching time; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2022.2088934
• Languages: English
• ISSNs: 1684-3703

Abstract

ABSTRACT: We study a passenger-taxi double-ended queue with negative passengers and two-point matching time. The system considered in this paper is different from those studied in the existing literature, which fully explores the matching time between passengers and taxis, and the taxi capacity of the system. The objective is to get the equilibrium joining strategy and the socially optimal strategy under two information levels. For the practical consideration of the airport terminal scenario, two different information levels are investigated. The theoretical results show that the passenger utility function in the partially observable case is monotonic. For the complex form of social welfare function of the partially observable case, we use a split derivation. The equilibrium strategy and socially optimal strategy of the observable case are threshold-type. Furthermore, some representative numerical scenarios are used to visualize the theoretical results. The numerical scenarios illustrate the influence of parameters on the equilibrium strategy and socially optimal strategy under two information levels. Finally, the optimal social welfare for the two information levels with the same parameters is compared.