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Heavy-traffic analysis of a multiple-phase network with discriminatory processor sharing
We analyze a generalization of the discriminatory processor-sharing (DPS) queue in a heavy-traffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ...
Stability and asymptotic optimality of opportunistic schedulers in wireless systems
We investigate the scheduling of a common resource between several concurrent users when the feasible transmission rate of each user varies randomly over time. Time is slotted and users arrive and depart upon service ...
Monotonicity properties for multi-class queueing systems
We study multi-dimensional stochastic processes that arise in queueing models used in the performance evaluation of wired and wireless networks. The evolution of the stochastic process is determined by the scheduling policy ...
Heavy-traffic analysis of the M/PH/1 Discriminatory Processor Sharing queue with phase-dependent weights
We analyze a generalization of the Discriminatory Processor Sharing (DPS) queue in a heavy-traffic setting. Customers present in the system are served simultaneously at rates controlled by a vector of weights. We assume ...