A stochastic theory of the firm
Mathematics of Operations Research
Congestion-dependent pricing of network services
IEEE/ACM Transactions on Networking (TON)
Markov Decision Processes: Discrete Stochastic Dynamic Programming
Markov Decision Processes: Discrete Stochastic Dynamic Programming
Structural results for the control of queueing systems using event-based dynamic programming
Queueing Systems: Theory and Applications
Optimal Pricing and Admission Control in a Queueing System with Periodically Varying Parameters
Queueing Systems: Theory and Applications
Monotonicity in Markov Reward and Decision Chains: Theory and Applications
Foundations and Trends® in Stochastic Systems
Optimal admission and pricing control problem with deterministic service times and sideline profit
Queueing Systems: Theory and Applications
Pricing and Capacity Rationing for Rentals with Uncertain Durations
Management Science
Effects of system parameters on the optimal policy structure in a class of queueing control problems
Queueing Systems: Theory and Applications
Optimal pricing for an unbounded queue
IBM Journal of Research and Development
Fundamentals of Queueing Theory
Fundamentals of Queueing Theory
Optimal prices for finite capacity queueing systems
Operations Research Letters
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This paper investigates an optimal sequencing and dynamic pricing problem for a two-class queueing system. Using a Markov Decision Process based model, we obtain structural characterizations of optimal policies. In particular, it is shown that the optimal pricing policy depends on the entire queue length vector but some monotonicity results prevail as the composition of this vector changes. A numerical study finds that static pricing policies may have significant suboptimality but simple dynamic pricing policies perform well in most situations.