Deciding which queue to join: Some counterexamples
Operations Research
Competitive routing in multiuser communication networks
IEEE/ACM Transactions on Networking (TON)
Routing into two parallel links: game-theoretic distributed algorithms
Journal of Parallel and Distributed Computing
Non-cooperative routing in loss networks
Performance Evaluation
A survey on networking games in telecommunications
Computers and Operations Research
User equilibria for a parallel queueing system with state dependent routing
Queueing Systems: Theory and Applications
Monotonicity properties of user equilibrium policies for parallel batch systems
Queueing Systems: Theory and Applications
Manufacturing & Service Operations Management
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Consider a network where two routes are available for users wishing to travel from a source to a destination. On one route (which could be viewed as private transport) service slows as traffic increases. On the other (which could be viewed as public transport) the service frequency increases with demand. The Downs-Thomson paradox occurs when improvements in service produce an overall decline in performance as user equilibria adjust. Using the model proposed by Calvert [10], with a 驴|M|1 queue corresponding to the private transport route, and a bulk-service infinite server queue modelling the public transport route, we give a complete analysis of this system in the setting of probabilistic routing. We obtain the user equilibria (which are not always unique), and determine their stability.