Operations Research Transactions ›› 2026, Vol. 30 ›› Issue (1): 156-170.doi: 10.15960/j.cnki.issn.1007-6093.2026.01.010

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Equilibrium analysis of the fluid model with two types of parallel customers and delayed repair

WANG Jing, XU Xiuli†   

  1. School of Science, Yanshan University, Qinhuangdao 066004, Hebei, China
  • Received:2022-02-25 Published:2026-03-16

Abstract: In this paper, the fluid model with two types of parallel customers and fault delay repair is economically analyzed. The normal working state, fault delay repair state and fault repair state are alternately carried out. When the fluid reaches the system, the net benefit based on the obtained information is calculated, and then whether to enter the system is determined. In the case of complete feasibility and almost visibility, the fluid equilibrium balking strategies and the social benefit optimal strategy per unit time are discussed respectively. Numerical examples are given to analyze the influence of the arrival rate and service rate on average social benefits per unit time.

Key words: fluid queue, parallel customers, breakdown, delayed repair, balking strategies

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