Modelling customers’ impatience with discouraged arrival and retention of reneging

• Autorzy: Medhi Pallabi

Identyfikatory

DOI

10.37190/ord210304

• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2021
• Tom: Vol. 31, No. 3
• Strony: 67--88
• Opis fizyczny: Bibliogr. 22 poz., tab.

Twórcy

autor

Medhi Pallabi

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

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).