Some equivalencies between closed queueing networks with blocking
Performance Evaluation
Analysis of a Kanban discipline for cell coordination in production lines
Management Science
On optimal arrangement of stations in a tandem queueing system with blocking
Management Science
Line reversibility of tandem queues with general blocking
Management Science
WSC '85 Proceedings of the 17th 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
Simulation Modeling and Analysis
Modeling very large scale systems: building complex models with LEGOs (Listener Event Graph Objects)
Proceedings of the 34th conference on Winter simulation: exploring new frontiers
Proceedings of the 35th conference on Winter simulation: driving innovation
On the Generality of Event-Graph Models
INFORMS Journal on Computing
Scheduling: Theory, Algorithms, and Systems
Scheduling: Theory, Algorithms, and Systems
Mathematical programming representations for state-dependent queues
Proceedings of the 40th Conference on Winter Simulation
Generalized Lindley-type recursive representations for multiserver tandem queues with blocking
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Winter Simulation Conference
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Closed tandem queueing networks are an important class of queueing models. Common approaches for analyzing these systems include Markov processes, renewal theory, and random walks. This article presents optimization models for sample paths of closed tandem queues. These mathematical models provide a new tool for analyzing these queueing systems using the techniques and algorithms from mathematical programming, and from graph theory in particular. We then apply operators from computer graphics (electronic picture manipulation) to graph theoretic representations of discrete-event system dynamics to establish some fundamental mathematical properties for these queueing systems.