Optimization of the product portfolio has been recognized as a critical problem in industry, management, economy and so on. It aims at the selection of an optimal mix of the products to offer in the target market. As a probability function, reliability is an essential objective of the problem which linear models often fail to evaluate it. Here, we develop a multiobjective integer nonlinear cons...

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...

We present a new exact approach for solving bi-objective integer linear programs. The new approach efficiently employs two of the existing exact algorithms in the literature, including the balanced box and the -constraint methods, in two stages. A computationally study shows that (1) the new approach solves less single-objective integer linear programs in comparison to the balanced box method, ...

presented here is a generalization of the implicit enumeration algorithm that can be applied when the objec-tive function is being maximized and can be rewritten as the difference of two non-decreasing functions. also developed is a computational algorithm, named linear speedup, to use whatever explicit linear constraints are present to speedup the search for a solution. the method is easy to u...

We present an algorithm to solve a bi-level multi-objective fractional integer programming problem involving fuzzy numbers in the right-hand side of the constraints. The suggested algorithm combine the method of Taylor series together with the Kuhn Tucker conditions to solve fuzzy bi-level multi-objective fractional integer programming problem (FBLMOFIPP) then Gomory cuts are added till the int...

The performance of a supply chain should usually be measured by multiple criteria. We address production, distribution and capacity planning of global supply chains considering cost, responsiveness and customer service level simultaneously. A multiobjective mixed-integer linear programming (MILP) approach is developed with total cost, total flow time and total lost sales as key objectives. Also...

a comprehensive and integrated study of any supply chain (sc) environment is a vital requirement that can create various advantages for the sc owners. this consideration causes productive managing of the sc through its whole wide components from upstream suppliers to downstream retailers and customers.  on this issue, despite many valuable studies reported in the current literature, considerabl...

• Reformulation of the original bi-objective Mixed-Integer Linear Programming model as a bi-level optimization problem. Development an adapted solution tool, which is matheuristic involving Multi-Objective Evolutionary Algorithm particularly efficient for problems (SMS-EMOA) and Programming. Numerical evaluation proposed with application to design HSC in Midi-Pyrénées region (southern France), ...

in the recent decade, special attention is paid to reverse logistic due to economic benefits of recovery and recycling of used products as well as environmental legislation and social concerns. on the other hand، many researches claim that separately and sequential planning of forward and reverse logistic causes sub-optimality. effective transport activities are also one of the most important c...