International Journal of Mathematics Trends and Technology
Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P523
In this paper M/M/1/WV interdependent queueing model with controllable arrival rates, service rates with inspection delayed repair times and feedback is considered. For this markov model is developed to explore the performance analysis of a state interdependent working vacation queuing model with feedback. The server is subjected to breakdown randomly by providing services. When a breakdown occurs , the server is immediately sent to repair station where the repairmen takes a setup time before starting the repair. The failed server is inspected by the repairman and is there is minor problem the server is repaired and is sent back to the service station with probability q. if some major faults is diagnosed during inspection. The server requires second phase of the repair with probability p. The matrix geometric method is applied to obtained the system characteristics, queue size distributed and other performance indices for varying arrival rates when the arrival and services processes are interdependent. The analytical results are numerically illustrated and the effect of the nodal parameters on the system characteristics are studied and relevant conclusion is presented.
[1] Rani, G. & Srinivasan, A. Busy Period Analysis Of M/M/1/∞Interdependent Queueing Model With Controllable Arrival Rates & Feedback. International Journal Of Application Or Innovation In Engineering & Management, Volume 5, Issue 1,(2016)
[2] Rani, G. & Srinivasan, A. M/M/1/K Interdependent Queueing Model With Controllable Arrival Rates & Feedback, Proceedings Of The Heber International Conference On Application Of Mathematics And Statistics, 271-277. Excel India Publishers, ISBN:93-81361-71.
[3] Madhu Jain & Varsha Rani ,State Dependent M/M/1/WV Queueing System With Inspection , Controlled Arrival Rates & Delayed Repair . International Journal &Systems Engineering Vol.18, No.3, (2014)
[4] Rani, G & Srinivasan, A. M/M/2/K Interdependent Queueing Model With Controllable Arrival Rates & Feedback. International Journal Of Computational Science &Mathematical ISSN 0974-3189, Volume 4, No. 3 ,Pp. 287-298,(2012)
[5] Renisagayaraj, M. Chandrasekar,B. Matrix Geometric Method For Queueing Model With System Breakdown Standby Server, PH Service & Ph Repair. International Journal Of Mathematics Research .ISSN 0976-5840, Volume 8, No. 1, Pp.29-37.(2016)
[6] Renisagayaraj, M. Chandrasekar,B. Matrix Geometric Method For Queueing Model With System Breakdown & N.Policy Vacation Mathematica Aeterna , Vol.5, No.5, 917-926, (2015)
[7] William J.Stewart Department Of Computer Science. The Matrix Geometric /Analytic Methods For Structured Markov Chain.SMF-07:PE
[8] Srinivasa Rao, K.,Shobha, T. And Srinivasa Rao,P. The M/M//∞ Interdependent Queueing Model With Controllable Arrival Rates.Opsearch,37(1), 14-24.
[9] Rani, G & Srinivasa, A. M/M/C/K, Interdependent Queueing Model With Controllable Arrival Rates & Feedback International Journal Of Applied Mathematical Volume 7, No. 2 Pp.131-141, (2012)
G. Rani, R. Radhika, "M/M/1/WV Interdependent queueing model with controllable arrival rates, service rates with inspection, delayed repaired times and feedback," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 188-199, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P523
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