Performance Analysis of N-Policy Finite Queue with 2-Stage Services and Controlled Repairs
Main Article Content
Abstract
The paper deals with single server finite capacity queuing model in which arrival of the customers is managed using N-policy. The service is provided to the customers in compulsory 2-stages, wherein after acquiring the service at first stage, the customer move to another stage to complete the service process. The server is unreliable and may fail while providing services. The broken down server is sent to the repair station following the threshold recovery policy. The study also makes use of N-policy, the aforementioned control policy regulates the start of services and also helps for better utilization of the server. The transient analysis of the model has been carried out employing the Runge Kutta method of fourth-order. Various queuing and reliability performance measures are achieved in the study. The cost analysis and sensitivity analysis of the system have been done to explore the effect of different parameters on various performance indices.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
M. Yadin, P. Naor; Queueing systems with a removable service station, Journal of the Operational Research Society, 14 (4) (1963), 393-405.
D. P. Heyman; Optimal operating policies for M/G/1 queuing systems, Operations Research, 16 (2) (1968), 362-382.
J.-C. Ke, K.-H. Wang; A recursive method for the N policy G/M/1 queueing system with finite capacity, European Journal of Operational Research, 142 (3) (2002), 577-594.
D. Efrosinin, O. Semenova; An M/M/1 system with an unreliable device and a threshold recovery policy, Journal of communications technology and electronics, 55(12) (2010), 1526-1531.
M. Jain, G. Sharma, R. Sharma; Optimal control of (N, F) policy for unreliable server queue with multi-optional phase repair and start-up, International Journal of Mathematics in Operational Research, 4(2) (2012), 152-174.
M. Jain, A. Bhagat; Finite population retrial queueing model with threshold recovery, geometric arrivals and impatient customers, Journal of Information and Operations Management, 3(1) (2012), 162.
A. Kumar, M. Jain; Cost optimization of an unreliable server queue with two stage service process under hybrid vacation policy, Mathematics and Computers in Simulation, 204 (2023), 259-281.
G. Ayyappan, S. Karpagam; Analysis of a bulk queue with unreliable server, immediate feedback, N-policy, bernoulli schedule multiple vacation and stand-by server, Ain Shams Engineering Journal, 10(4) (2019), 873-880.
A. Ahuja, A. Jain, M. Jain; Transient analysis and ANFIS computing of unreliable single server queueing model with multiple stage service and functioning vacation, Mathematics and Computers in Simulation, 192 (2022), 464-490.
R. K. Meena, M. Jain, A. Assad, R. Sethi, D. Garg; Performance and cost comparative analysis for M/G/1 repairable machining system with n-policy vacation, Mathematics and Computers in Simulation, 200 (2022), 315-328.
S. R. Chakravarthy, R. Kulshrestha, et al.; A queueing model with server breakdowns, repairs, vacations, and backup server, Operations Research Perspectives, 7 (2020), 100131.