Modelling Customers' Impatience with Discouraged Arrival and Retention of Reneging

• Autorzy: Pallabi Medhi
• 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. (original abstract)

Słowa kluczowe

EN

Markov process; Probability; Sensitivity analysis

PL

Procesy Markowa; Prawdopodobieństwo; Analiza wrażliwości

• Czasopismo: Operations Research and Decisions
• Rocznik: 2021
• Tom: 31
• Numer: nr 3
• Strony: 67--88

Twórcy

autor

Pallabi Medhi

• Gauhati University, Guwahati, India

Bibliografia

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Identyfikatory

DOI

10.37190/ord210304