An M/G/C/C state-dependent network simulation model

Authors:
F. R. B. Cruz;J. MacGregor Smith;R. O. Medeiros
Affiliations:
Department of Mechanical & Industrial Engineering University of Massachusetts, Amherst, MA;Department of Mechanical & Industrial Engineering University of Massachusetts, Amherst, MA;Departamento de Estatistica, Instituto de Ciéncias Exatas, Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil
Venue:
Computers and Operations Research
Year:
2005

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Abstract

A discrete-event digital simulation model is developed to study traffic flows in M/G/C/C state-dependent queueing networks. Several performance measures are evaluated, namely (i) the blocking probability, (ii) throughput, (iii) the expected number of the customers in the system, and (iv) expected travel (service) time. Series, merge, and split topologies are examined with special application to pedestrian planning evacuation problems in buildings. Extensive computational experiments are presented showing that the simulation model is an effective and insightful tool to validate analytical expressions and also to analyze general accessibility in network evacuation problems especially in high-rise buildings.