Strong convexity results for queueing systems
Operations Research
Optimal decentralized flow control of Markovian queueing networks with multiple controllers
Performance Evaluation
On the existence of equilibria in noncooperative optimal flow control
Journal of the ACM (JACM)
Congestion resulting from increased capacity in single-server queueing networks
IEEE/ACM Transactions on Networking (TON)
Optimal Flow Control of an M/M/m Queue
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Paradoxes in distributed decisions on optimal load balancing for networks of homogeneous computers
Journal of the ACM (JACM)
Architecting noncooperative networks
IEEE Journal on Selected Areas in Communications
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Optimal flow control problems of multiple-server (M/M/n) queueing systems are studied. Due to enhanced flexibility of the decision making, intuitively, we expect that grouping together separated systems into one system provides improved performance over the previously separated systems. This paper presents a result counterintuitive against such an expectation. We consider a non-cooperative optimal flow control scheme M/M/n queueing systems where each of multiple players strives to optimize unilaterally its own power where the power of a player is the quotient of the throughput divided by the mean response time for the player. We report a counter-intuitive case where the power of every user degrades after grouping together K(1) separated M/M/N systems into a single M/M/(K × N) system. Some numerical results are presented.