Modelling customers’ impatience with discouraged arrival and retention of reneging

• Authors: MEDHI Pallabi
• Languages of publication: EN

Abstracts

EN

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

EN

baulking; impatience; queuing; reneging; discouraged arrivalr; retention of reneging

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2021
• Volume: 31
• Issue: 3
• Pages: 67-88

Contributors

author

MEDHI Pallabi

• Department of Statistics, Gauhati University, Guwahati 781014, Assam, India

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Identifiers

DOI

10.37190/ord210304