مد‌ل‌سازی و زمان‌بندی مسائل جریان کارگاهی مونتاژ دو مرحله‌ای با ماشین‌های مونتاژ غیرهمسان

نویسندگان

گروه مهندسی صنایع، دانشکده فنی مهندسی، دانشگاه خوارزمی، تهران

چکیده

این پژوهش به بررسی مسئله زمان‌بندی جریان کارگاهی مونتاژ دومرحله‌ای می‌پردازد. در این مسئله تعدادی محصول مشابه، هر یک متشکل از چندین قطعه مختلف سفارش داده شده است. ساخت هر قطعه شامل m عملیات است که در ایستگاه اول به‌وسیله m ماشین مختلف انجام می‌شوند. قطعات پس از تکمیل فرایند ساخت، در ایستگاه دوم به‌وسیله چندین ماشین ناهمسان به محصول نهایی مونتاژ می‌شوند. هدف مسئله، یافتن توالی بهینه قطعات در ایستگاه ساخت، تخصیص و توالی بهینه محصولات در ایستگاه مونتاژ است. یک مدل برنامه‌ریزی خطی عدد صحیح مختلط و دو الگوریتم فرا ابتکاری ازدحام ذرات با جستجوی محلی (MPSO) و شبیه‌سازی تبرید (SA) برای حل مسئله پیشنهاد شده است. برای ارزیابی عملکرد مدل و الگوریتم‌های پیشنهادی آزمایشات محاسباتی مطرح شده که نتایج ‌نشان‌دهنده برتری الگوریتمMPSO نسبت به SA است

کلیدواژه‌ها

عنوان مقاله [English]

Modeling and Scheduling Two-stage Assembly Flow Shop Problems with Non-Identical Assembly Machines

نویسندگان [English]

  • m. bashi varshosaz
  • b. naderi
  • m. mohammadi
چکیده [English]

The purpose of this research is to deal with the problem of two-stage assembly flow shop scheduling. A number of single-item products (identical) each formed of several different parts are ordered. Each part has m operations done at the first  stage with m different machines. After manufacturing the parts, they are assembled into a final product with some non-identical machines. The purpose of the problem is to find the optimal sequence of the parts in the manufacturing stage, allocation and the optimal sequence of the products in the assembly stage. A mixed integer linear programming model and two metaheuristic algorithms, which are particle swarm with local search (MPSO) and simulated annealing (SA), are presented to solve this problem. Computational experiments are conducted to evaluate the performance of the proposed model and algorithms. The results show that the MPSO algorithm performs better than the SA one.
 

کلیدواژه‌ها [English]

  • Two-stage assembly flow shop
  • Non-identical assembly machines
  • Mathematical modeling
  • Sequence independent setup times
  • Metaheuristics

مراجع

1. Yokoyama, M., and Santos, D. L., “Three-stage Flow-shop Scheduling with Assembly Operations to Minimize the Weighted Sum of Product Completion Times”, European Journal of Operational Research, Vol. 161, pp. 754-770, 2005.
2. Kan, A. H. G. R., Machine Scheduling Problems, Martinus Nijhoff, Hague, 1976.
3. Allahverdi, A., and Al-Anzi, F. S., “The Two-stage Assembly Scheduling Problem to Minimize Total Completion Time with Setup Times”, Computers and Operations Research, Vol. 36, pp. 2740-2747, 2009.
4. Lee, C. Y., Cheng, T. C. E., and Lin, B. M. T., “Minimizing the Makespan in the 3-machine Assembly-type Flowshop Scheduling Problem”, Management Science, Vol. 39, pp. 616-625, 1993.
5. Potts, C. N., Sevast Janov, S. V., Strusevich, V. A., Van Wassenhove, L. N., and Zwaneveld, C. M., “The Two-Stage Assembly Scheduling Problem: Complexity and Approximation”, Operations Research, Vol. 43, pp. 346-355, 1995.
6. Hariri, A. M. A., and Potts, C. N., “A Branch and Bound Algorithm for the Two-stage Assembly Scheduling Problem”, European Journal of Operational Research, Vol. 103, pp. 547-556, 1997.
7. Cheng, T. C. E., and Wang, G., “Scheduling the Fabrication and Assembly of Components in a Two-machine Flowshop”, IIE Transactions, Vol. 31, pp. 135-143, 1999.
8. Sung, C. S., and John, J., “Makespan Minimization for a 2-stage Assembly Scheduling Problem Subject to Component Available Time Constraint”, International Journal of Production, Vol. 119, pp. 392-401, 2009.
9. Yokoyama, M., “Hybrid Flow-shop Scheduling with Assembly Operations”, International Journal of Production Economics, Vol. 73, pp. 103-116, 2001.
10. Rios-Mercado, R. Z., and Bard, J. F., “The Flowshop Scheduling Polyhedron with Setup Times”, Journal of Combinatorial Optimization, Vol. 7, pp. 291-318, 2003.
11. Kennedy, J., and Eberhart, R., “Particle Swarm Optimization”, Proceedings of IEEE International Conference on Neural Networks, Vol. 4, pp. 1942-1948, 1995.
12. Ge, H. W., Sun, L., Liang, Y. C., and Qian, F., “An Effective PSO and AIS-based Hybrid Intelligent Algorithm for Job-shop Scheduling”, IEEE Transactions on Systems, Man and Cybernetics, Part A, Vol. 38, pp. 358-368, 2008.
13. Kuo, I. H., Horng, S. J., Kao, T. W., Lin, T. L., Lee, C. L., and Terano, T., “An Efficient Flow-shop Scheduling Algorithm Based on a Hybrid Particle Swarm Optimization Model”, Expert Systems with Applications, Vol. 36, pp. 7027-7032, 2009.
14. Liao, C. J., Tseng, C. T., and Luarn, P., “A Discrete Version of Particle Swarm Optimization for Flowshop Scheduling Problems”, Computers and Operations Research, Vol. 34, pp. 3099-3111, 2007.
15. Xia, W., and Wu, Z., “A Hybrid Particle Swarm Optimization Approach for the Jobshop Scheduling Problem”, The International Journal of Advanced Manufacturing Technology, Vol. 29, pp. 360-366, 2005.
16. Gen, M., Tsujimura, Y., and Kubota, E., “Solving Job Shop Scheduling Problem using Genetic Algorithms”, Proceedings of the 16th International Conference on Computer and Industrial Engineering, Ashikaga, Japan, pp. 576-579, 1994.
17. Lin, T. L., Hong, S. J., Kao, T. W., Chen, Y. H., Run, R. S., Chen, R. J., Lai, J. L., and Kuo, I. H., “An Efficient Job-shop Scheduling Algorithm Based on Particle Swarm Optimization”, Expert Systems with Applications, Vol. 37, pp. 2629-2636, 2010.
18. Cochran, W. G., and Cox, G. M., Experimental Designs, 2nd ed., Wiley, USA, 1992.
19. Ross, R. J., Taguchi Techniques for Quality Engineering, McGraw-Hill, USA, 1989.

فایل ها

هم رسانی

ارجاع به این مقاله

آمار

ارتقاء امنیت وب با وف ایرانی