in this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. we study this problem and capture some special characteristics of its feasible domain and optimal s...

Although several papers have studied no-idle scheduling problems, they all focus on flow shops, assuming one processor at each working stage. But, companies commonly extend to hybrid flow shops by duplicating machines in parallel in stages. This paper considers the problem of scheduling no-idle hybrid flow shops. A mixed integer linear programming model is first developed to mathematically form...

This paper proposes a compromise model, based on a new method, to solve the multiobjectivelarge scale linear programming (MOLSLP) problems with block angular structureinvolving fuzzy parameters. The problem involves fuzzy parameters in the objectivefunctions and constraints. In this compromise programming method, two concepts areconsidered simultaneously. First of them is that the optimal alter...

This paper proposes a compromise model, based on the technique for order preference through similarity ideal solution (TOPSIS) methodology, to solve the multi-objective large-scale linear programming (MOLSLP) problems with block angular structure involving fuzzy parameters. The problem involves fuzzy parameters in the objective functions and constraints. This compromise programming method is ba...

one of the most important problems in the system reliability optimization is redundancy allocation problem that has been studied in different system configurations. k-out-of-n structure is a general system configuration and offers enhanced capabilities for analyzing more design problems. hence, in this paper, the redundancy allocation problem of k-out-of-n systems is studied. in the most previo...

Intense competition in the current business environment leads firms to focus on selecting the most appropriate R&D project portfolio in order to accomplish sustainable growth in the fierce market place. Achieving this goal is tied down by uncertainty which is inherent in all R&D projects. Therefore, investment decisions must be made within an optimization framework, based on the data which is u...

We propose a general theory of parametric two-sided tropical linear systems based on the connections with zero-sum deterministic mean-payoff games. It is shown how this general theory specializes to particular tropical linear systems with parameter, arising from 1) the two-sided tropical eigenproblem Ax = λ+Bx and 2) the tropical linear programming. This involves 1) the problem of finding the s...

Multicommodity distribution problem is one of the most interesting and useful models in mathematical programming due to its major role in distribution networks. The purpose of this paper is to describe and solve a special class of multicommodity distribution problems in which shipment of a commodity from a plant to a customer would go through different distribution centers. The problem is t...

AbstreaThe problem of allocating files in a distributed network of interconnected computers, which was first addressed by Chu [l], is one of minimizing the overall operating cost while satisfying the finite computer storage capacity constraint and the bounds on the time to access the files. The overall operating oost consists of the cost of storing the files in the computers and the cost of tra...