Fuzzy analysis for steady-state availability: A mathematical programming approach

Engineering Optimization

Volumn 38, Issue 8, 2006, Pages 909-921

  Ke, Jau Chuan ^a   Huang, Hsin I ^a   Lin, Chuen Horng ^a  

^a NATIONAL TAICHUNG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Fuzzy sets; Mathematical programming; Steady state availability

Indexed keywords

FUNCTIONS; MATHEMATICAL PROGRAMMING; PROBABILITY; REPAIR;

REPAIR TIME DISTRIBUTIONS; REPAIRABLE SYSTEM; STEADY STATE AVAILABILITY; ZADEH'S EXTENSION PRINCIPLE;

FUZZY SETS;

EID: 33750328277     PISSN: 0305215X     EISSN: 10290273     Source Type: Journal    
DOI: 10.1080/03052150600795854     Document Type: Article

References (18)

1. Ananda, M.M.A., Confidence intervals for steady state availability of a system with exponential operating time and lognormal repair time. Appl. Math. Comput., 2003, 137, 499-509.
2. Ananda, M.M.A. and Gamage, J., On steady state availability of a system with lognormal repair time. Appl. Math. Comput., 2004.150, 409-416.
3. Chandrasekhar, P. and Natarajan, R., Confidence limits for steady-state availability of systems with a mixture of exponential and gamma operating time and lognormal repair time. Microelectron. Reliab., 1996, 36, 1303-1304.
4. Chandrasekhar, P. and Natarajan, R., Confidence limits for steady state availability of systems with lognormal operating time and inverse Gaussian repair time. Micmelectron. Reliab., 1997, 37, 969-971.
5. Chandrasekhar, P., Natarajan, R. and Sujatha, H.S., Confidence limits for the steady state availability of systems. Microelectron. Reliab., 1994, 34, 1365-1367.
6. Chandrasekhar, P., Natarajan, R. and Yadavalli, V.S.S., A study on a two unit standby system with Erlangian repair time. Asia-Pacific J. Oper. Res., 2004, 21, 271-277.
7. Cleland, D.I. and Kocaoglu, D.F., Engineering Management, 1981 (McGraw-Hill: New York).
8. Holloway, C. A., Decision Making Under Uncertainly: Models and Choices, 1979 (Prentice Hall: Englewood Cliffs, NJ).
9. Krishna, H. and Sharma, K.K., Inferences on availability ratio. Microelectron. Reliab., 1995, 35, 105-108.
10. Lim, J.-H., Shin, S.W., Kim, D.K. and Park, D.H., Bootstrap confidence intervals for steady-state availability. Asia-Pacific J. Oper. Res., 2004, 21, 407-419.
11. Masters, B.N. and Lewis, T.O., A note on the confidence interval for the availability ratio. Microelectron. Reliab., 1987, 27, 487-492.
12. Masters, B.N., Lewis, T.O. and Kolarik, W.J., A confidence interval for the availability ratio for systems with Weibull operating time and lognormal repair time. Microelectron. Reliab., 1992, 32, 89-99.
13. Mi, J., Interval estimation of availability of a series system. IEEE Trans. Reliab., 1991, 40, 541-546.
14. Thompson, M., Lower confidence limits and a test of hypothesis for system availability. IEEE Trans. Reliab., 1966, 15, 32-36.
15. Yadavalli, V.S.S., Botha, M. and Bekker, A., Asymptotic confidence limits for the steady state availability of a two-unit parallel system with 'preparation time' for the repair facility. Asia-Pacific J. Oper. Res., 2002, 19, 249-256.
16. Yager, R.R., A characterization of the extension principle. Fuzzy Sets Syst., 1986, 18, 205-217.
17. Zadeh, L.A., Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1978, 1, 3-28.
18. Zimmermann, H.J., Fuzzy Set Theory and Its Applications (4th edn), 2001 (Kluwer Academic: Boston).