نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی کارشناسی ارشد، گروه مهندسی صنایع، دانشگاه آزاد اسلامی، واحد کرج.

2 عضو هیئت علمی پژوهشکده توسعه و برنامه‌ریزی جهاد دانشگاهی.

3 استادیار، گروه مهندسی صنایع، دانشگاه آزاد اسلامی، واحد تهران مرکز.

4 استادیار، گروه مهندسی صنایع، دانشگاه آزاد اسلامی، واحد علوم و تحقیقات.

چکیده

در این مقاله یک مدل ریاضی برای مسئله سیستم تولیدی همکارانه ساخت بر اساس سفارش با رعایت انصاف برای تخصیص بار‌های تولید طراحی شده است. اهداف اصلی مدل، کمینه‌سازی هزینه‌‌های کل تولید و حداکثر استفاده از منابع به‌منظور تخصیص عادلانه بار‌های تولید در شرایط عدم­قطعیت است. برای کنترل پارامتر‌های غیرقطعی از روش برنامه‌ریزی فازی استفاده ‌شده است. نتایج نشان می‌دهد با افزایش نرخ عدم‌قطعیت، هزینه‌‌های سیستم تولید افزایش می­یابد. ازآنجاکه ظرفیت کارخانه‌ها ثابت است، با افزایش مقدار تقاضا، مقدار تولید افزایش و حداکثر استفاده از منابع هر کارخانه نیز افزایش می­یابد؛ همچنین بر خلاف روند تغییرات هزینه سیستم، با افزایش تعداد کارخانه‌ها، حداکثر استفاده از منابع در دسترس کاهش یافته است. برای حل مسائل نمونه با اندازه بزرگ از الگوریتم NSGA II با یک کروموزوم مناسب برای جست­وجوی فضای مسئله استفاده شده است. نتایج عددی از حل 15 مسئله نمونه، نشان از کارایی بالای الگوریتم NSGA II در حل مسئله سیستم تولیدی همکارانه در زمان بسیار کوتاه دارد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Designing a Mathematical Model of a Collaborative Production System Based on Make to Order under Uncertainty

نویسندگان [English]

  • Mehrnaz Sadat Seyed Bathaee 1
  • Javid Ghahremani-Nahr 2
  • Hamed Nozari 3
  • Seyed Esmaeil Najafi 4

1 Master Student, Department of Industrial Engineering, Islamic Azad University, Karaj Branch.

2 Faculty Member of Academic Center for Education, Culture and Research (ACECR).

3 Assistant Professor, Department of Industrial Engineering, Islamic Azad University, Central Tehran Branch.

4 Assistant Professor, Department of Industrial Engineering, Islamic Azad University, Science and Research Branch.

چکیده [English]

We present a mathematical model for the problem of collaborative production system based on order with fairness to allocate production loads. The main objectives of the model are to minimize total production costs and maximize the use of resources in order to distribute production loads fairly in conditions of uncertainty. Fuzzy programming was used to control uncertain parameters. The results show that, with increasing the uncertainty rates, production system costs have increased. Since the capacity of factories is constant, with the increase in demand, the amount of production has increased and the maximum use of resources of each factory has also increased. Also, contrary to the trend of system cost changes, with the increase in the number of factories, the maximum use of available resources has decreased. To solve large sample problems, the NSGA II algorithm with a suitable chromosome is used to search the problem space. Numerical results of solving 15 sample problems show the high efficiency of NSGA II algorithm in solving the problem of cooperative production system in a very short time.

کلیدواژه‌ها [English]

  • Make to order
  • Fuzzy Programming
  • collaborative production system
  • NSGA II Algorithm
  • Uncertainty
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