Multimodularity, Convexity, and Optimization Properties
Mathematics of Operations Research
Structural results for the control of queueing systems using event-based dynamic programming
Queueing Systems: Theory and Applications
ON THE COMPARISON OF QUEUEING SYSTEMS WITH THEIR FLUID LIMITS
Probability in the Engineering and Informational Sciences
Monotonicity Properties For Multiserver Queues With Reneging And Finite Waiting Lines
Probability in the Engineering and Informational Sciences
Monotonicity in Markov Reward and Decision Chains: Theory and Applications
Foundations and Trends® in Stochastic Systems
Delay-optimal server allocation in multiqueue multiserver systems with time-varying connectivities
IEEE Transactions on Information Theory
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We derive convexity results and related properties for the value functions of tandem queuing systems. The results for standard multiserver queues are new. For completeness, we also prove and generalize existing results on tandems of controllable queues. The results can be used to compare queuing systems. This is done for systems with and without batch arrivals and for systems with different numbers of on–off sources.