Issue: 2021/Vol.31/No.3, Pages

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), . DOI 10.37190/ord210304

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.

Keywords: balking, impatience, queuing, reneging, discouraged arrival, retention of reneging

Received: 25 March 2020    Accepted: 8 June 2021