Deciding which queue to join: Some counterexamples
Operations Research
Journal of the ACM (JACM)
Dynamic service sharing with heterogeneous preferences
Queueing Systems: Theory and Applications
Individual Equilibrium and Learning in Processor Sharing Systems
Operations Research
The Downs-Thomson Paradox: Existence, Uniqueness and Stability of User Equilibria
Queueing Systems: Theory and Applications
On a Paradox of Traffic Planning
Transportation Science
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
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We study a simple network with two parallel batch-service queues, where service at a queue commences when the batch is full and each queue is served by infinitely many servers. A stream of general arrivals observe the current state of the system on arrival and choose which queue to join to minimize their own expected transit time. We show that for each set of parameter values there exists a unique user equilibrium policy and that it possesses various monotonicity properties. User equilibrium policies for probabilistic routing are also discussed and compared with the state-dependent setting.