ANALYSIS OF FINITE CAPACITY QUEUE WITH NEGATIVE CUSTOMERS AND BUNKER FOR OUSTED CUSTOMERS USING CHEBYSHEV AND GEGENBAUER POLYNOMIALS

Rostislav V. Razumchik ()
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Rostislav V. Razumchik: Institute of Informatics Problems of the Russian Academy of Sciences, 44/2, Vavilova street, Moscow 119333, Russia

Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 04, 1-21

Abstract: Consideration is given to the queueing system with incoming Poisson flows of regular and negative customers. Regular customers await service in buffer of finite size r. Each negative customer upon arrival pushes a regular customer out of the queue in buffer (if it is not empty) and moves it to another queue of finite capacity r (bunker). Customers from both queues are served according to exponential distribution with parameter μ, first-come, first-served discipline, but customers in bunker are served with relative priority. Using method based on Chebyshev and Gegenbauer polynomials the algorithm for computation of stationary blocking probabilities and joint probability distribution of the number of customers in buffer and bunker is obtained. Numerical example is provided.

Keywords: Queueing system; bunker; negative customers; Gegenbauer polynomials (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0217595914500298

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