A Fuzzy Approach for a Multiobjective Selective Maintenance Problem

 In the field of reliability optimization often comes the problem of selective maintenance. A system with series and parallel components often have situations where it takes small breaks or intervals and start functioning again. These intervals give the experts time to replace or repair deteriorating components of the system which is termed as selective maintenance. For such system, a decision making problem may be formulated as to optimize the reliability taking into consideration the time or cost spent on components. Further, there are cases where the reliability of individual components, cost and time involved are not crisp instead there is imprecision or variability of data. In this paper we formulate this problem of selective maintenance into a multiobjective nonlinear programming problem with triangular fuzzy numbers and solve it using Fuzzy Programming Problem. Also, a numerical example with assumed data is used to illustrate the applicability of the formulated problem for certain degree of membership at a particular α − cut.