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  1. 1 Operations Research and Decisions

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  1. 1 MEDHI P.

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  1. 1 2021

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Modelling customers’ impatience with discouraged arrival and retention of reneging

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MEDHI P.
Operations Research and Decisions
|
2021
|
vol. 31
|
issue 3
67-88
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.
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