Qualitative properties of the Erlang blocking model with heterogeneous user requirements
Queueing Systems: Theory and Applications
An algorithm for the computer control of a flexible manufacturing system
Modeling and control of automated manufacturing systems
Interchange arguments for classical scheduling problems in queues
Systems & Control Letters
Closed-loop control with delayed information
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Optimality of routing and servicing in dependent parallel processing systems
Queueing Systems: Theory and Applications
Optimal server assignment in the case of service times with monotone failure rates
Systems & Control Letters
Monotone control of queueing networks
Queueing Systems: Theory and Applications
Monotone structure in discrete-event systems
Monotone structure in discrete-event systems
Monotone optimal control of permutable GSMPs
Mathematics of Operations Research
Control of a random walk with noisy delayed information
Systems & Control Letters
Stochastic Comparison of Random Vectors with a Common Copula
Mathematics of Operations Research
Structural results for the control of queueing systems using event-based dynamic programming
Queueing Systems: Theory and Applications
Monotone Optimal Policies for a Transient Queueing Staffing Problem
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Analysis, Design, and Control of Queueing Systems
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In Search of Sensitivity in Network Optimization
Queueing Systems: Theory and Applications
ON THE COMPARISON OF QUEUEING SYSTEMS WITH THEIR FLUID LIMITS
Probability in the Engineering and Informational Sciences
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On the incomplete results for the heterogeneous server problem
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
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On optimal call admission control in cellular networks
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Effects of system parameters on the optimal policy structure in a class of queueing control problems
Queueing Systems: Theory and Applications
Delay-optimal server allocation in multiqueue multiserver systems with time-varying connectivities
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Optimality of myopic sensing in multichannel opportunistic access
IEEE Transactions on Information Theory
Admission control for a multi-server queue with abandonment
Queueing Systems: Theory and Applications
Traffic-aware optimization of heterogeneous access management
IEEE Transactions on Communications
Dynamic pricing and scheduling in a multi-class single-server queueing system
Queueing Systems: Theory and Applications
Optimal resource allocation for multiqueue systems with a shared server pool
Queueing Systems: Theory and Applications
Critical level policies in lost sales inventory systems with different demand classes
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Optimal stochastic scheduling of two interconnected queues with varying service rates
Operations Research Letters
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Queueing Systems: Theory and Applications
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This paper focuses on monotonicity results for dynamic systems that take values in the natural numbers or in more-dimensional lattices. The results are mostly formulated in terms of controlled queueing systems, but there are also applications to maintenance systems, revenue management, and so forth. We concentrate on results that are obtained by inductively proving properties of the dynamic programming value function. We give a framework for using this method that unifies results obtained for different models. We also give a comprehensive overview of the results that can be obtained through it, in which we discuss not only (partial) characterizations of optimal policies but also applications of monotonicity to optimization problems and the comparison of systems.