Issue: 2021/Vol.31/No.3, Pages 67-88
MODELLING CUSTOMERS’ IMPATIENCE WITH DISCOURAGED ARRIVAL AND RETENTION OF RENEGING
Pallabi Medhi
Cite as: P. Medhi. Modelling customers’ impatience with discouraged arrival and retention of reneging. Operations Research and Decisions 2021: 31(3), 67-88. DOI 10.37190/ord210304
Abstract
The paper presents stochastic modelling of a single server, finite buffer Markovian queueing system with discouraged arrivals, baulking, reneging, and retention of reneged customers. The 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.
Keywords: baulking, impatience, queuing, reneging, discouraged arrival, retention of reneging
Received: 25 March 2021 Accepted: 8 June 2021