On a multiple priorities matching system with heterogeneous delay sensitive individuals

作者:

Highlights:

• We study on the two-stage equilibrium strategies of heterogeneous delay sensitive individuals in matching systems. The non-atomic continuous and atomic discrete types of customers are discussed respectively.

• We apply the sequential approach to characterize the two-stage equilibrium of such matching system specifically.

• The study demonstrates that the delay sensitivities of incoming ones and balking ones at equilibrium are separated by a certain threshold.

• We find that the higher the fundamental payment, the more additional fees each incoming customer is willing to pay, except for the least delay-sensitive customers.

• The particle swarm algorithm is applied to obtain the optimal social benefit, along with the optimal combination of admission fees.

摘要

•We study on the two-stage equilibrium strategies of heterogeneous delay sensitive individuals in matching systems. The non-atomic continuous and atomic discrete types of customers are discussed respectively.•We apply the sequential approach to characterize the two-stage equilibrium of such matching system specifically.•The study demonstrates that the delay sensitivities of incoming ones and balking ones at equilibrium are separated by a certain threshold.•We find that the higher the fundamental payment, the more additional fees each incoming customer is willing to pay, except for the least delay-sensitive customers.•The particle swarm algorithm is applied to obtain the optimal social benefit, along with the optimal combination of admission fees.

论文关键词:Matching queueing system,Heterogeneity in delay sensitivity,Two-stage strategy,Non-atomic continuous,Atomic discrete type,Particle swarm algorithm

论文评审过程:Received 27 October 2020, Revised 30 November 2020, Accepted 3 December 2020, Available online 21 December 2020, Version of Record 21 December 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125873