الفهرس | Only 14 pages are availabe for public view |
Abstract The main difficulty of a real system results from the very large number of elements (variables) controlling the behavior of the system. Optimization problems witch has a large-scale number of variables and constraints are called large-scale systems. Large-scale problems arise in some applications such as manpower planning, industrial planning, and control problems. In the present work, a study of large multicriteria integer programming problems is introduced together with a combined algorithm for treating multiobjective large-scale linear programming problems (MOLSLPP’s) with primal block angular structure , Also a parametric study for the MOLSLPP’s with different positions of parameters and a theorem for determines the stability set of the first kind Finally, a unified interactive approach for solving multiobjective integer linear programming problem is presented and applied on large-scale problems. This thesis is divided into four chapters: Chapter one: Presents a survey on a mutiobjective linear programming problems including some interactive approaches for solving them. The different structures and the method for solving large-scale linear programming problems are presented Presents a combined algorithm for treating MOLSLPP’s with primal block angular structure and a parametric study for large scale linear programming problems is introduced. Chapter three: Constructs a unified approach for solving multiobjectiv integer linear programming problems. Also, Applying the above-unified approach to solve large scale MOLPP’s. Chapter four: Contains the conclusion of this work and the points for further study. |