Minimum cost component test plans for evaluating reliability of a highly reliable parallel system

Naval Research Logistics

Volumn 44, Issue 5, 1997, Pages 401-418

  Rajgopal, Jayant ^a   Mazumdar, Mainak ^a  

^a University of Pittsburgh   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION THEORY; MATHEMATICAL PROGRAMMING; PROBLEM SOLVING; RELIABILITY;

MINIMUM COST COMPONENT TEST PLANS; SYSTEM RELIABILITY;

LARGE SCALE SYSTEMS;

EID: 0031212765     PISSN: 0894069X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6750(199708)44:5<401::AID-NAV1>3.0.CO;2-8     Document Type: Article

References (17)

1. Altinel, K.I., "The Design of Optimum Component Test Plans in the Demonstration of a Series System Reliability," Computational Statistics and Data Analysis, 14, 281-292 (1992).
2. Barlow, R.E., and Proschan, F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, 1975.
3. Coit, D., Rajgopal, J., and Mazumdar, M., "On the Application of Component Test Plans to Demonstrate System Reliability," Technical Report No. 93-7, Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, 1993.
4. Easterling, R.G., Mazumdar, M., Spencer, F.W., and Diegert, K.V., "System Based Component Test Plans and Operating Characteristics: Binomial Data," Technometrics, 33, 287-298 (1991).
5. Gal, S., "Optimal Test Design for Reliability Demonstration," Operations Research, 22, 1236-1242 (1974).
6. Gertsbakh, I.B., Statistical Reliability Theory, Marcel Dekker, New York, 1989.
7. Glashoff, K., and Gustafson, S.-A., Linear Optimization and Approximation, Springer-Verlag, New York, 1983.
8. Mazumdar, M., "An Optimum Procedure for Component Testing in the Demonstration of Series System Reliability," IEEE Transactions on Reliability, R-26, 342-345 (1977).
9. MIL-HDBK-781D, "Reliability Test Methods, Plans, and Environments for Engineering Development, Qualification, and Production," Department of the Navy, Space and Naval Warfare Systems Command, Washington, DC, 1987.
10. Rajgopal, J., and Mazumdar, M., "A Type-II Censored, Log Test-Time Based Component Testing Procedure for a Parallel System," IEEE Transactions on Reliability, 37, 406-412 (1988).
11. Rajgopal, J., and Mazumdar, M., "Design of System Based Component Test Plans," in Proceedings of the 2nd Industrial Engineering Research Conference, Los Angeles, 1993, pp. 247-251.
12. Rajgopal, J., and Mazumdar, M., "Designing Component Test Plans for Series System Reliability via Mathematical Programming," Technometrics, 37, 195-212 (1995).
13. Rajgopal, J., Mazumdar, M., and Savits, T.H., "Some Properties of the Poisson Distribution with an Application to Reliability Testing," Probability in the Engineering and Informational Sciences, 8, 345-354 (1994).
14. Yan, J.H., and Mazumdar, M., "A Comparison of Several Component Testing Plans for a Series System," IEEE Transactions on Reliability, R-35, 437-443 (1986).
15. Yan, J.H., and Mazumdar, M., "A Comparison of Several Component Testing Plans for a Parallel System," IEEE Transactions on Reliability, R-36, 419-424 (1987).
16. Yan, J.H., and Mazumdar, M., "A Component Testing Plan for a Parallel System with Type II Censoring," IEEE Transactions on Reliability, R-36, 425-428 (1987).
17. Zangwill, W.I., Nonlinear Programming: A Unified Approach, Prentice-Hall, Englewood Cliffs, New Jersey, 1969.