Abstract




 
   

IJE TRANSACTIONS A: Basics Vol. 20, No. 3 (October 2007) 243-250   

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  RELIABILITY ANALYSIS OF K-OUT-OF N: G MACHINING SYSTEMS WITH MIXED SPARES AND MULTIPLE MODES OF FAILURE (TECHNICAL NOTE)
 
 
Madhu Jain*, G. C. Sharma and Ranjeet Singh Pundhir

Department of Mathematics, Institute of Basic Science
Dr. B. R. Ambedkar University, Khandari, St. John’s College
Agra-282002, India
madhujain@sancharnet.in - gokulchandra@sancharnet.in

*Corresponding Author
 
 
( Received: November 30, 2006 – Accepted in Revised Form: September 13, 2007 )
 
 

Abstract    This paper deals with the transient analysis of K-out-of-N: G system consisting of Noperatingmachines. To improve system reliability, Y cold standby and S warm standbys spares areprovided to replace the failed machines. The machines are assumed to fail in multiple modes. At leastK-out-of-N machines for smooth functioning of the system. Reliability and mean time to failure areestablished in terms of transient probabilities.

 

Keywords    K-Out-of-N: G System, Mixed Spares, Reliability, MTTF, Multiple Failure Modes

 

References   


1. Teixeirade, A. A., “Multi-criteria decision making maintenance spares and contracts planning”, European Journal of Operational Research, Vol. 129, No. 2, (2001), 235-241.

2. Arullnozhi, G., “Reliability of an M-out of-N warm standby system with R repair facilities”, OPSEARCH, Vol. 39, (2002), 77-87.

3. Amari, S. V., Pham, H. and Dill, G., “Optimal design of k-out-of-n: G subsystems subject to imperfect fault-coverage”, IEEE Transaction on Reliability, Vol. 53 No. 4, (2004), 567-575.

4. Zhang, T., Xie, M. and Horigome, M., “Availability and reliability of k-out-of-(M+N): G warm standbys systems”, Reliability Engineering and System Safety, Vol. 91, No. 4, (2006), 381-387.

5. Goel, L. R. and Sharma, G. C., “Stochastic analysis of a two unit standby system with two failures and slow switch”, Microelectronics and Reliability, Vol. 29, No. 4, (1980), 493-498.

6. Reddy, D. R. and Rao, D. V. B., “Optimization of parallel systems subjects to two modes of failure and repair provision”, OPSEARCH, Vol. 29, (1993), 25-35.

7.Sharma, D. C. and Sharma, G. C., “M/M/R machine repair problem with spare and three modes of failures”, Ganita Sandesh, Vol. 11, No. 1, (1997), 51-56.

8. Wang, K. H. and Lee, H. C., “Cost analysis of the cold-standby M/M/R machine repair problem with multiple modes of failure”, Microelectronics and Reliability, Vol. 38, No. 3, (1998), 435-441.

9. Wang, K. H. and Wu, J. D., “Cost analysis of the M/M/R machine repair problem with spares and two modes of failure”, Journal of Operations Research Society, Vol. 46, (1995), 783-790.

10. Jain, M., Singh, M. and Baghel, K. P. S., “Machine repair problem with spares, reneging, additional repairman and two modes of failure”, Journal of MACT, Vol. 33, (2000), 69-79.

11. Levitin, Gregory, “Consecutive k-out-of-r-from-n system with multiple failure criteria”, IEEE Transaction on Reliability, Vol. 53, No. 3, (2004), 394-400.

12. Jenab, K. and Dhillon, B. S., Assessment of reversible multi-state k-out-of-n: G/F/Load-Sharing systems with flow-graph models”, Reliability Engineering and System Safety, Vol. 91, No. 7, (2006), 765-771.

13. Moustafa, M. S., “Transient analysis of reliability with and without repair for k-out-of n: G system with M failure modes”, Reliability Engineering and System Safety, Vol. 59, (1998), 317-320.

14. Moustafa, M. S., “Transient analysis reliability with and without repair for K-out of- N: G systems with two failure modes”, Reliability Engineering and System Safety, Vol. 53, (1996), 31-35.


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