Scatter search (SS) and path relinking (PR) are evolutionary methods that have been successfully applied to a wide range of hard optimization problems. The fundamental concepts and principles of the methods were first proposed in the 1970s and 1980s, and were based on formulations, dating back to the 1960s, for combining decision rules and problem constraints. The methods use strategies for sea...

in this paper, we consider scheduling of project networks under minimization of total weighted resource tardiness penalty costs. in this problem, we assume constrained resources are renewable and limited to very costly machines and tools which are also used in other projects and are not accessible in all periods of time of a project. in other words, there is a dictated ready date as well as a d...

In this paper, we investigate the use of a look-ahead strategy combined with path-relinking for tackling problem scheduling multiprocessor tasks on two dedicated processors. An instance is composed set divided into three subsets and processors, where some can be executed either one processor or The goal to schedule all such that execution last assigned task minimized. First, proposed method sta...

Soft variable fixing has emerged as one of the main techniques that the area of matheuristics can contribute to general metaheuristics. Recent years have in fact witnessed a fruitful interplay of methods that were originally proposed as general metaheuristcs with methods rooted in mathematic programming, which can be applied alone or as hybrids for solving combinatorial optimization problems. I...

Path-relinking is major enhancement to heuristic search methods for solving combinatorial optimization problems, leading to significant improvements in both solution quality and running times. We review its fundamentals and implementation strategies, as well as advanced hybridizations with more elaborate metaheuristic schemes such as genetic algorithms and scatter search. Numerical examples are...