Deciding which queue to join: Some counterexamples
Operations Research
Comparison of policies for routing customers to parallel queueing systems
Operations Research
Optimality of routing and servicing in dependent parallel processing systems
Queueing Systems: Theory and Applications
Design of a real-time call admission controller for ATM networks
IEEE/ACM Transactions on Networking (TON)
Introduction to Stochastic Dynamic Programming: Probability and Mathematical
Introduction to Stochastic Dynamic Programming: Probability and Mathematical
Fuzzy control of arrivals to tandem queues with two stations
IEEE Transactions on Fuzzy Systems
Capacity reservation in ATM networks
Computer Communications
A conferencing system for real-time, multiparty, multimedia services
IEEE Transactions on Consumer Electronics
Reserving for future clients in a multipoint application-why and how?
IEEE Journal on Selected Areas in Communications
The Impact of Delaying the Delay Announcements
Operations Research
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This paper considers access control in a target multiserver loss queue fed by a set of upstream parallel multiserver loss queues and by a stream of new customers. The target queue faces a choice of how many servers to reserve for each stream. Revenue is gained by each station when it serves a customer, but the amount of revenue at the target queue depends on the source of the customer. We prove that the policy that maximizes total discounted revenue consists of a set of monotonically decreasing thresholds as functions of the occupancy of each queue. We prove monotonicity properties with respect to system parameters. We show that there exists an ordering of the thresholds based on the relative revenue paid at the target queue. Finally, we compare this system with a tandem queue model.