Modelling customers’ impatience with discouraged arrival and retention of reneging
Abstract
This paper presents stochastic modelling of a single server, finite buffer Markovian queuing system with discouraged arrivals, balking, reneging, and retention of reneged customers. Markov process is used to derive the steady-state solution of the model. Closed form expressions using probability generating functions (PGFs) are derived and presented for both classical and novel performance measures. In addition, a sensitivity analysis is carried out to study the effect of the system parameters on performance measures. A numerical problem is also presented to demonstrate the derived results and some design aspects.
Publisher
Politechnika Wroclawska Oficyna Wydawnicza
Subject
Management of Technology and Innovation,Management Science and Operations Research,Statistics, Probability and Uncertainty,Modelling and Simulation,Statistics and Probability
Cited by
1 articles.
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