International Journal of Computer Applications |
Foundation of Computer Science (FCS), NY, USA |
Volume 66 - Number 24 |
Year of Publication: 2013 |
Authors: Hemmak Allaoua, Bouderah Brahim |
10.5120/11262-5749 |
Hemmak Allaoua, Bouderah Brahim . Hybrid Algorithm for Optimization Problems Applied to Single Machine Scheduling. International Journal of Computer Applications. 66, 24 ( March 2013), 7-11. DOI=10.5120/11262-5749
In this paper, we will present a new variant of genetic algorithm to solve optimization problems where the number of feasible solutions is very important. This approach consists on a hybrid algorithm between genetic algorithms introduced by J. Holland (1975) and dynamic programming method of R. Bellman (1957). Then we will apply this hybrid algorithm to solve a single machine scheduling problem that consists to minimizing the sum of earliness and tardiness costs with common due date. Our goal is designing a new approach to find a good near solutions for combinatory problems as scheduling problems or traveling salesman problem which have an exponential number of solutions and known as NP-hard problems.