2021/01/28 by Zhen Wang, Cheryl Yang, Wang, Zhen +5 · 1 citation
Business, Management and Accounting · Engineering · Mathematics · Social Sciences · #60K25 #91A35 #91B50 #Advanced Queuing Theory Analysis #Computer science #Engineering #Equilibrium point #FOS: Mathematics #Function (biology) #Matching (statistics) #Mathematical optimization #Mathematics #Monotonic function #Observable #Operations research #Physics #Point (geometry) #Probability (math.PR) #Queue #Queueing theory #Social Welfare #Statistics #Taxis #Transport engineering #Transportation Planning and Optimization #Transportation and Mobility Innovations #math.PR #msc:60K25 #msc:91A35 #msc:91B50
paper · pdf · doi:10.48550/arxiv.2101.12043
24 pages
arxiv created 2021/01/28 · openalex publication_date 2021/01/28 · arxiv updated 2021/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a passenger-taxi double-ended queue with impatient passengers and two-point matching time in this paper. The system considered in this paper is different from those considered in the existing literature, which fully considers 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 considered. 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 are compared.