Recent adaptive memory and evolutionary metaheuristics for mixed integer programming have included proposals for introducing inequalities and target objectives to guide the search. These guidance approaches are useful in intensification and diversification strategies related to fixing subsets of variables at particular values, and in strategies that use linear programming to generate trial solu...

much research hasn’t been done in the area of project selection in the public sector. in this paper, we tried to choose projects in the public sector, and a linear programming model is presented. in an effort to build the model, the decision criteria were identified using the delphi method and then the criteria were reviewed at conceptual combining. the model was constructed in a linear, goal a...

We discuss a mixed-integer nonlinear programming formulation for the problem of covering a set of points with a given number of slabs of minimum width, known as the bottleneck variant of the hyperplane clustering problem. We derive several linear approximations, which we solve using a standard mixed-integer linear programming solver. A computational comparison of the performance of the differen...

This paper introduces $\Delta$-MILP, a powerful variant of the mixed-integer linear programming (MILP) optimization framework to solve NASA's Deep Space Network (DSN) scheduling problem. work is an extension our original MILP (DOI:10.1109/ACCESS.2021.3064928) and inherits many its constructions strengths, including base formulation for DSN scheduling. To provide more feasible schedules with res...

Abstract We study linear bilevel programming problems, where (some of) the leader and follower variables are restricted to be integer. A discussion on relationships between optimistic pessimistic setting is presented, providing necessary sufficient conditions for them equivalent. new class of inequalities, optimality cuts, introduced. They used derive a single-level non-compact reformulation pr...

closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. in this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. first, a mixed-integer linear programming formulation is developed to maximize the total profit. the main contribution...