Authors: Madhu Jain; G.C. Sharma; Ragini Mittal
Addresses: Department of Mathematics, IIT Roorkee, Roorkee-247 667, India ' Department of Mathematics, Institute of Basic Sciences, Khandari, Agra-282 002, India ' Department of Mathematics, St. John's College, Agra-282 002, India
Abstract: In the present investigation, a multi channel infinite buffer queue under N-policy has been analysed. The concept of N-policy is taken into consideration according to which the server initiates the service only when N jobs are accumulated in the system. The arriving pattern of the traffic (voice/data packets) to the queues in front of different channels follows the Poisson distribution whereas the service times are exponentially distributed. Matrix geometric method is employed to obtain the queue size distribution at equilibrium. Various performance indices such as blocking probabilities, throughput, average delay, etc,. are obtained. The usefulness of the proposed approach is illustrated by taking a specific example. Neuro fuzzy approach and the numerical procedure to compute various state probabilities and other performance indices are outlined. The sensitivity analysis has also been carried out to facilitate the insights of the controllable parameters for the improvement of real-time system.
Keywords: N-policy; multi-channel queues; queue length; blocking; matrix geometric method; MGM; artificial neural networks; ANNs; infinite buffer queues; fuzzy logic; blocking probabilities; throughput; average delay.
International Journal of Operational Research, 2015 Vol.24 No.1, pp.59 - 82
Received: 09 Feb 2013
Accepted: 20 Aug 2013
Published online: 22 Jul 2015 *