Analysis of a tandem queue with state-dependent general blocking: a GSMP perspective
Performance Evaluation - Special issue on queueing networks with finite capacity
Eliminating event cancellation in discrete event simulation
WSC '95 Proceedings of the 27th conference on Winter simulation
Simulation modeling with event graphs
Communications of the ACM
Mathematical programming models of discrete event system dynamics
Proceedings of the 32nd conference on Winter simulation
Simulation Modeling and Analysis (McGraw-Hill Series in Industrial Engineering and Management)
Simulation Modeling and Analysis (McGraw-Hill Series in Industrial Engineering and Management)
Proceedings of the 38th conference on Winter simulation
Mathematical programming models of closed tandem queueing networks
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Time-dependent analysis of a single-server retrial queue with state-dependent rates
Operations Research Letters
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Discrete-event dynamic systems with feedback, where the behavior of the system depends on the system state, are difficult to model due to the uncertainties and dependencies of system performance on the system state. Service systems, in particular, tend to exhibit this behavior where servers may work faster (or slower) when facing an increasingly long line of impatient customers. A common example is a state-dependent queue where the service rate depends on the queue size, which can change during service. In this paper, we present a mathematical programming representation for the sample path dynamics of a state-dependent queue, and illustrate its application in sensitivity analysis.