A genetic algorithm approach for problem

Journal of Industrial Engineering International

مقاله 4، دوره 7، شماره 13، خرداد 2011، صفحه 35-43   

نویسندگان

E Mehdizadeh¹؛ R Tavakkoli-Moghaddam²

¹Assistant Prof., Dep. of Industrial Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran

²Professor, Dep. of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

چکیده

In this paper, a genetic algorithm is presented for an identical parallel-machine scheduling problem with family setup time that minimizes the total weighted flow time ( ). No set-up is necessary between jobs belonging to the same family. A set-up must be scheduled when switching from the processing of family i jobs to those of another family j, i  j, the duration of this set-up being the sequence-independent set-up time sj for family j. This problem is shown to be NP-hard in the strong sense and obtaining an optimal solution for the large-sized problems in reasonable computational time is extremely difficult. Further, it is computationally evaluated the performance of the proposed genetic algorithm solutions obtained using a mixed integer programming (MIP) with the Lingo 8.0 software.

کلیدواژه‌ها

Genetic Algorithm؛ Parallel machine scheduling؛ Setup time؛ weighted flow time