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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 12    
Website: http://www.ijser.org
scirp IJSER >> Volume 2, Issue 12, December 2011
Non-perfect M/M/R Machine repair problem with spares and two modes of failure
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Author(s)
D.C.Sharma
KEYWORDS
Spares, cold standby, warm standby, hot standby
ABSTRACT
The paper investigates the machine repair problem consisting of M operating machines with S spare machine and R servers where machines have two failure modes and server are subjected to breakdown under steady state conditions. The two failure modes have equal probability of repair. Spares are considered to be cold standby or warm standby or hot standby. Failure and service time of machines and breakdown and repair time of server are assumed to follow a negative exponential distribution. Each server is subject to breakdown even if no failed machine is in the system.
References
1. J.F Toft and H.Boothroyed. A queueing model for Spare coal faces Opl. Res.Q 10, 245-251, (1959).

2. I. Benson and D.R. Cox. The productivity of machine requiring attention of random interval. J. Roy Statist. Soc. B13, 65-82 (1951).

3. N.K. Jaiswal and K. Thiruvengdom.Finite source priority queue.SIAM N. Appl. Math.15, 1278-1293 (1967).

4. E.A. Elsayed. An optimum repair policy for machine interference problem. J. Opl. Res. Soc. 32, 793-801 (1981).

5. D.P. Graver and J.P.Lehoczky.A diffusion approximation solution for a repairman problem with two type of failure.Mgnt. Sci. 24, 71-81 (1979).

6. A. Posafalvi and J. Sztrik. A numerical approach to the repairman with two different type of machines. J. Opl. Res. Soc. 40, 797-803 (1989).

7. K.H.Wang. Profit analysis of M/M/R machine repair problem with spares and server breakdown. J. Opl. Res. Soc. Vol. 45, No. 5, 539-548 (1994).

8. K.H.Wang and J.D. Wu . Cost analysis of the M/M/R machine repair problem with spare an two modes of falure.J. Opn. Res. Soc. Vol. 46,783-790(1995)

9. G.C.Sharma and D.C.Sharma. M/M/R machine repair problem with spares and thre modes of failure.GanitSandesh Vol.11, No. 1, 51-56 (1997)

10. M.J. Armstrong. Age repair policies for the machine repair problem. Euro. J. Opl. Res. Vol.138, issue 1, 127-141 (2002).

11. J.C. Kee and K.H. Wang.The reliability analysis of balking and reneging in repairable system with warm standby.Qua. Rel. Eng. Int. vol. 18, issue 6, 467-478 (2002).

12. S.R. Chakravrty. Analysis of machine repair problem with an unreliable server and phase type repairs and services Nav. Res. Log. Vol. 50, issue 5, 462-480 (2003).

13. M. Jain. N-Policy for machine repair system with spares and reneging.Apld.Math.Mod. (2004).

14. S.P. Chen. A mathematical programing approach to the machine interference problem with fuzzy parametres. Apld.Math. And Comp. vol. 174, issue 1, 374-387 (2006).

15. K.H. Wang, J.B. Ke and W. C. Lee.Reliability and sensitivity analysis of a repairable system with warm standby and R unreliable service stations. The Int. J. of Adv. Manuf. Tech. vol. 31, number 11-12, 1223-1232 (2007).

16. J.C. Kee and K.H. Wang. Vacation policies for machine repair problem with two type spares. Apld.Math.Modelling. Vol. 31, issue 5, 880-894 (2007).

17. J.C. Kee and S.L. Lee.Machine repair problem in production system with spares and server vacations.RAIRO-Operations.Research.vol. 43, 35-54 (2009).

18. D. Gross and C. M. Harris. Fundamentals of Queueing Theory. John Wiley & Sons, New York.

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