Abstract
In reliability optimization problems diverse situation occurs due to which it is not always possible to get relevant precision in system reliability. The imprecision in data can often be represented by triangular fuzzy numbers. In this manuscript, we have considered different fuzzy environment for reliability optimization problem of redundancy. We formulate a redundancy allocation problem for a hypothetical series-parallel system in which the parameters of the system are fuzzy. Two different cases are then formulated as non-linear programming problem and the fuzzy nature is defuzzified into crisp problems using three different defuzzification methods viz. ranking function, graded mean integration value and α-cut. The result of the methods is compared at the end of the manuscript using a numerical example.
Highlights
IntroductionReliability theory has evolved through the demands of modern technology, due to the experiences gained from complex military systems in World War II
Reliability theory has evolved through the demands of modern technology, due to the experiences gained from complex military systems in World War II.Most of the problems attempted earlier were machine maintenance and system reliability in military systems
We have considered different fuzzy environment for reliability optimization problem of redundancy
Summary
Reliability theory has evolved through the demands of modern technology, due to the experiences gained from complex military systems in World War II. A problem of reliability redundancy allocation has been solved using particle swarm optimization method by Khalili-Damghani et al (2013). Dolatshahi-Zand and Khalili-Damghani (2015) designed the supervisory control and data acquisition (SCADA) water resource management control center using a bi-objective redundancy allocation problem and particle swarm optimization. Besides them Bortolan and Degani (1982), Park (1987), Liou (1992), Hsieh and Chen (1999) are few more authors who worked in this field In this manuscript, we have formulated reliability optimization problem with multiple constraints. Definition 1 A fuzzy number A~ 1⁄4 ða; a0; a00Þ is said to be a triangular fuzzy number (TFN) if its membership function is given by 8 >>>
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