Cost Computation of Machine Repairman Queueing Model in Fuzzy Environment
Main Article Content
Abstract
Abstract: Machine repairman queueing model is a mathematical structure used to analyse system where machine occasionally fail and require repair. This paper focuses on cost analysis of machine repairman queuing model in fuzzy environment to provide more realistic results as compared to crisp environment .Optimal service and optimal total cost as important operating characteristics of the model have been obtained in the paper. Sensitivity analysis and graphical representation of the model have been presented to gain better insight of the model.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
L.A. Zadeh; Fuzzy sets, Information Control, 8 (1965), 338-353.
L.A. Zadeh and R.E. Bellman; Decision making in a fuzzy environment, Management Science, 17 (1970), 140-164.
R. Jain; Decision making in the presence of fuzzy variables, IIIE Transactions on systems, Man and Cybernetics, 17 (1976), 698-703.
D. Dubois and H. Prade; Operations on fuzzy numbers, International Journal of Systems Science, 9(6) (1978), 613-626.
H.J. Zimmerman; Using fuzzy sets in operational research, European journal of operational research, 13(3) (1983), 201-216.
J.G. Ecker and M. Kupferschmid; Introduction to operations research, New York: Wiley, 1988.
K. Swarup and P. Gupta; Manamohan-Operation Research, S Chand and Sons Educational Publishers.
K.S. Park; Fuzzy set theoretical interpretation of economic order quantity, IEEE Trans. Systems Man. Cybernet SMC, 17 (1987), 1082-1084.
D. Dutta and P. Kumar; Fuzzy inventory model for deteriorating items with shortages under fully backlogged condition, International Journal of Soft Computing and Engineering (IJSCE), 3(2) (2013), 2231-2307.
S S Mishra, D K Sharma, S K Yadav and S Rawat; Computational approach to Fuzzified profit optimization of inventory flow in supply chain with deteriorating items, International Journal of Operations Research, 30-1 (2017), 83-97.
S S Mishra; Developing intelligent index for fuzzified inventory of supply chain by using neural computing, International Journal of Operations Research, 29-4 (2017), 460-477.
S S Mishra, S Gupta, S K Yadav and S Rawat; Optimization of Fuzzified Economic Order Quantity Model Allowing Shortage and Deterioration with Full Backlogging, American Journal of Operational Research, 5(5) (2015), 103-110.
S S Mishra and P P Mishra; A (Q, R) model for fuzzified deterioration under cobweb phenomenon and permissible delay in payment, Computers and Mathematics with Applications, 61-4 (2011), 921-932.
S S Mishra, H Pandey and R S Singh; A Fuzzified deteriorating inventory model with breakdown of machine and shortage cost, International Journal of Mathematical Sciences, 3-1 (2004), 241-255.
R K Meena, M Jain, S S Sanga and A Assad; Fuzzy modeling and harmony search optimization for machining system with general repair, standby support and vacation, Applied Mathematics and Computation, 361 (2019), 858-873.
B.B. Singh, S. Rawat, S.K. Yadav, S.S. Mishra; Optimization of Markovian Arrival and Service Queuing Model under Fuzziness, International Journal of Agricultural & Statistical Sciences, 16(2) (2020).
A. Refaie Al. and A Al-Hawadi; Optimal fuzzy repairs’ scheduling and sequencing of failure types over multiple periods, Journal of Ambient Intelligence and Humanized Computing, 13(1) (2022), 201-217.
S.S. Sanga and G.S. Charan; Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback, Mathematics and Computers in Simulation, 211 (2023), 214-240.
S.S. Sanga and K. Antala; Fuzzy Cost Optimization for Single Server Queue under Admission Control F-policy and Balking, Research Square preprint (2023).