Steady state results for the M/M(a,b)/c batch-service system
type: Item
instance of: scholarly article
title: Steady state results for the M/M(a,b)/c batch-service system
zbMATH Open document ID: 0587.60093
DOI: 10.1016/0377-2217(85)90038-4
author: S. H. Sim
author: J. G. C. Templeton
published in: European Journal of Operational Research
publication date: 1985-01-01T00:00:00Z
review text: The paper is concerned with a transportation system consisting of the following parts: a number of vehicles with finite capacity, a source station and destination stations described by independent, negative- exponentially distributed trip times with common mean. Passenger arrivals are Poisson. Vehicles are only dispatched when \(a\), the control limit, customers are waiting. The steady-state probabilities Pr(m vehicles idle and j customers waiting) are recursively calculated. The performance measures given in analytic form include passenger queue length distribution and mean and moments of passenger waiting time.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B20
zbMATH DE Number: 3942678
zbMATH Keywords: transportation system
zbMATH Keywords: steady-state probabilities
zbMATH Keywords: performance measures
zbMATH Keywords: passenger waiting time
MaRDI profile type: Publication
full work available at URL: 0377-2217(85)90038-4
OpenAlex ID: W2069886015
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description: scientific article; zbMATH DE number 3942678