Reliability optimization problems with multiple constraints under fuzziness

Subject Areas : Mathematical Optimization

Neha Gupta ¹ , Sanam Haseen ² , Abdul Bari ³

1 - Department of Statistics and O.R., Aligarh Muslim University, Aligarh, 202002, UP, India
2 - Department of Statistics and O.R., Aligarh Muslim University, Aligarh, 202002, UP, India
3 - Department of Statistics and O.R., Aligarh Muslim University, Aligarh, 202002, UP, India

Received: 2020-10-04 Accepted : 2020-10-04 Published : 2016-12-01

Keywords: cut, Reliability optimization problem . Redundancy allocation problem . Triangular fuzzy numbers . Ranking function . Graded mean integration value . a,

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 andα-cut. The result of the methods is compared at the end of the manuscript using a numerical example.