Performance Evaluation Of A Finite Buffer System With Varying Rates Of Impatience

Yıl 2013, Cilt: 6 Sayı: 1, 42 - 55, 01.01.2013

Amit Choudhury Pallabi Medhi

Öz

In the analysis of reneging behavior, one approach is to assume random patience time. Each customer is assumed to follow identical distribution of patience time. However, there are many real life queuing systems where this assumption is not satisfied. Customers waiting in the system are often aware of their position in it and hence the reneging rate varies with the position of the customer in the system. This paper is an attempt to model such a reneging phenomena along with balking. Explicit closed form expressions of a number of performance measures have been presented. A numerical example with design aspects has also been presented to demonstrate the results derived.

Anahtar Kelimeler

Balking, Finite buffer queue, Impatience, Queuing, Reneging

Kaynakça

• Altman, E. and Yechiali, U. (2008). Infinite- Server Queues with System’s Additional Tasks and Impatient Customers. Probability in the Engineering and Informational Sciences, Vol. 22, No. 4, pp: 477-493.
• Al-Seedy, R. O. and Al-Ibraheem, F. M. (2001). An Interarrival Hyperexponential Machine Interference with Balking, Reneging, State-dependent, Spares and an Additional Server for Longer Queues. International Journal of Mathematics and Mathematical Sciences, Vol. 27, No. 12, pp: 737-747.
• Al-Seedy, R. O., El-Sherbiny, A. A., El-Shehawy, S. A. and Ammar, S. I. (2009). Transient solution of the M/M/c queue with balking and reneging. Computers and Mathematics with Applications, Vol. 57, No. 8, pp: 1280-1285.
• ...