Elements of information theory
Elements of information theory
Modeling and analysis of stochastic systems
Modeling and analysis of stochastic systems
Information theory and communication networks: an unconsummated union
IEEE Transactions on Information Theory
Communication over fading channels with delay constraints
IEEE Transactions on Information Theory
Optimal Power and Rate Control for Minimal Average Delay: The Single-User Case
IEEE Transactions on Information Theory
Delay Optimal Transmission Policy in a Wireless Multiaccess Channel
IEEE Transactions on Information Theory
Combining queueing theory with information theory for multiaccess
IEEE Journal on Selected Areas in Communications
Joint MAC and rate control for stability and delay in wireless multi-access channels
Performance Evaluation
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We investigate a delay minimization problem in a multiple access wireless communication system. We consider a discrete-time non-fading additive white Gaussian noise (AWGN) multiple access channel. In each slot, bits arrive at the transmitters randomly according to some distribution, which is i.i.d. from user to user and from slot to slot. Each transmitter has an average power constraint of P. Our goal is to allocate rates to users, from the multiple access capacity region, based on their current queue lengths, in order to minimize the average delay of the system. We formulate the problem as a Markov decision problem (MDP) with an average cost criterion. We first show that the value function is increasing, symmetric and convex in the queue length vector. Taking advantage of these properties, we show that the optimal rate allocation policy is one which tries to equalize the queue lengths as much as possible in each slot, while working on the dominant face of the capacity region.