In this paper, the problem of optimum allocation of repairable and replaceable components in a system is formulated as a Bi-objective stochastic non linear programming problem. The system maintenance time and cost are random variable and has gamma and normal distribution respectively. A Bi-criteria optimization technique, weighted Tchebycheff is used to obtain the optimum allocation for a system. A numerical example is also presented to illustrate the computational details.
In this paper, the
problem of non-response with significant travel costs in multivariate
stratified sample surveys has been formulated of as a Multi-Objective Geometric
Programming Problem (MOGPP). The fuzzy programming approach has been described
for solving the formulated MOGPP. The formulated MOGPP has been solved with the
help of LINGO Software and the dual solution is obtained. The optimum
allocations of sample sizes of respondents and non respondents are obtained
with the help of dual solutions and primal-dual relationship theorem. A
numerical example is given to illustrate the procedure.