Networks of Waiting Lines

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Advanced Queuing Theory Analysis Healthcare Operations and Scheduling Optimization Petri Nets in System Modeling

Abstract

One of the least understood classes of operations problems is that concerned with the design, loading, and, especially, the scheduling of discrete, statistically varying flows through complex networks. The present paper abstracts what is perhaps the simplest theoretical question related to this class of problems, and derives expressions for certain steady-state parameters.

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1967Closed Queuing Systems with Exponential Servers 1978The Operational Analysis of Queueing Network Models 1984Open Queueing Networks in Heavy Traffic 1979Approximate Analysis of General Queuing Networks by Decomposition 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations 1987Brownian models of open queueing networks with homogeneous customer populations ∗1996Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines 1984Optimal control of two interacting service stations

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