Simulation to Develop and Test Queue Approximations: A Case Study

Article Abstract:

We use simulation to both develop and test approximation formulas for the operating charactertistics of a queue that occurs in queuing network models. In this context, the main simulation issues are design of simulation experiments and evaluation of the difference between approximations and simulation estimates. The simulation experiments described here have specific goals, use analytic results to reduce the number of factors, and are performed sequentially with initial experiments generating questions to address in later experiments. The difference between simulation estimates and approximations are evaluated by two summary measures: average absolute percentage error and a measure of simulation variability. In addition, another measure is examined: percent of cases where the approximation falls outside a 95 percent confidence interval computed from simulation estimates. While this measure is commonly used by others, especially in graphs, work here suggests it is inappropriate. (Reprinted by Permission of Publisher.)

Queuing theory, Network Models, Simulation Theory, Approximation, Queuing Networks, Research Design

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Discrete System Simulation Concepts

Article Abstract:

Some situations in a business, technical or scientific environment cannot be described by a mathematical model. In those cases, simulation is used. Simulation models are used to describe a current system, explore a hypothetical system or design an improved system. Several simulation languages exist for different applications.

Mathematical models, Models, Simulation Languages, Tutorial

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