Modelling customers’ impatience with discouraged arrival and retention of reneging

Pallabi Medhi ()

Operations Research and Decisions, 2021, vol. 31, issue 3, 67-88

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 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:31:y:2021:i:3:p:67-88:id:1607

DOI: 10.37190/ord210304

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