Introduction to queueing theory (2nd ed)
Introduction to queueing theory (2nd ed)
M/M/1 queues with working vacations (M/M/1/WV)
Performance Evaluation
Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates
Queueing Systems: Theory and Applications
Equilibrium customer strategies in a single server Markovian queue with setup times
Queueing Systems: Theory and Applications
Performance analysis of M/G/1 queue with working vacations and vacation interruption
Journal of Computational and Applied Mathematics
Strategic Behavior and Social Optimization in Markovian Vacation Queues
Operations Research
Equilibrium balking strategies in the observable single-server queue with breakdowns and repairs
Operations Research Letters
A queue with working breakdowns
Computers and Industrial Engineering
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We consider equilibrium analysis of a single-server Markovian queueing system with working breakdowns. The system may become defective at any point of time when it is in operation. However, when the system is defective, instead of stopping service completely, the service continues at a slower rate. We assume that the arriving customers decide whether to join the system or balk based on a natural reward-cost structure. With considering waiting cost and reward, the balking behavior of customers is investigated and the corresponding Nash equilibrium strategies are derived. The effects of the information level on the equilibrium behavior are illustrated further via numerical experiments.