In Multi-Objective Linear Programming (MOLP) we are concerned with a continuum of alternatives demarcated by a finite number of linear constraints in a finite-dimensional space. Furthermore, there is a finite number of linear objective functions, and a single decision maker or a decision making ...
This paper describes a solution technique for Linear Programming problems with multiple objective functions. In this type of problem it is often necessary to replace the concept of “optimum” with that of “best compromise”. In contrast with methods dealing with a priori weighted sums of the ob...
Since each of the above objective-based solutions has relevance to the needs of the society and economy, it is necessary to build a model that makes a compromise among the three individual solutions. This multi-objective fuzzy linear programming (MOFLP) model, solved in a compromising decision ...
Design/methodology/approach - The proposed approach to generally solve the grey linear programming problems is based on the notion of order relation between interval grey numbers. This notion is applied to cascade' the grey objective function to a bi-objective problem based on the objective function...
E. (1982), Linear programming in single- & multiple-objective systems, edited by James P. Ignizio, Prentice-Hall International Series in Industrial and Systems Engineering, Prentice-Hall, Inc., Englewood Cliffs, N.J. 07632, 1982. No. of pages: 506. Price: £22.45. ISBN 0-13-537027-2...
In this paper, two new algorithms are presented to solve multi-level multi-objective linear programming (ML-MOLP) problems through the fuzzy goal programming (FGP) approach. The membership functions for the defined fuzzy goals of all objective functions at all levels are developed in the model fo...
GLPK: stands for GNU Linear Programming Kit, an open source solver Clp/Cbc : an open source solver (for LP and MILP respectively) from the COIN-OR project CPLEX: a commercial solver GUROBI: a commercial solver MOP: MultiObjective extension of MPS format...
Linear Multiobjective Programming 作者:M·Zeleny 定价:$ 13.56 ISBN:9783540066392 豆瓣评分 目前无人评价
In this method a convex combination of the first and the last points of the intervals are used in place of the intervals and consequently the problem is reduced to a nonlinear programming problem. Finally, the nonlinear problem is transformed into a linear programming problem with two more ...
The Bilevel Linear Programming problem and the problem of Linear Optimization over the Efficient Set are shown to be special forms of linear program with an additional reverse convex constraint having a monotonicity property. Exploiting this structure, one can convert the latter problem into a ...