The Impact of Different Arrival Patterns on Queuing Systems when Customers are Impatient

Jim Freeman, Isabel Parra-Frutos

Research output: Working paper

Abstract

A simulation analysis of a multi-product monopoly based on the M/M/1/B queuing system enables a full range of market performance measures to be estimated. When the queuing formulation is modified to allow for a Weibull rather than Exponential inter-arrival time pattern, corresponding results are (selectively) found not to differ significantly from those obtained previously. In particular, customers' expected waiting time is virtually unchanged. However, because of the lower incidence of short inter-arrival times with the Weibull, idle time is reduced and consequently, expected effective demand, increased - with positive implications for the monopolist's future profitability.
Original languageEnglish
Place of PublicationManchester
Publication statusPublished - 2000

Publication series

NameManchester School of Management Series
PublisherManchester School of Management
No.2002

Keywords

  • Queuing Theory, Simulation, Weibull distribution, Transient Behaviour, Multi-product Monopoly, Service Firms, Service Quality

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