مدل تولید-موجودی چندمحصولی فازی با کمبود، دوباره‌کاری و محدودیت های نرخ تولید محدود، فضای انبار و سرمایه و حل آن به‌وسیله الگوریتم‌های فرا ابتکاری

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، گروه مهندسی صنایع، دانشگاه پیام نور، تهران، ایران

2 کارشناسی ارشد، گروه مهندسی صنایع، دانشگاه پیام نور، عسلویه، ایران

3 دانشجوی دکترا، گروه مهندسی صنایع، دانشگاه پیام نور، تهران، ایران

چکیده

مدیریت موجودی سازمان و برنامه‌ریزی برای تولید محصولات ازجمله وظایف ضروری هر سازمان تولیدی است. در این مقاله، مدل تولید-موجودی کمبوددار برای تعیین مقدار بهینه موجودی در شرکت‌های تولیدی چند کالایی در هنگام غیرقطعی بودن تقاضا گسترش یافته است. هدف این مسئله بیشینه‌سازی کل سود شرکت با در نظر گرفتن هزینه‌های موجودی اعم از هزینه نگهداری مواد اولیه و نهایی، سفارش، کمبود به‌صورت سفارش عقب‌افتاده و فروش ازدست‌رفته و خرید است که یک مدل غیرخطی را به وجود می‌آورد. در این مسئله، دوباره‌کاری اقلام معیوب و محدودیت‌های نرخ تولید محدود، فضای انبار و سرمایه نیز در نظر گرفته شده است. برای حل مشکل نادقیق بودن داده‌های ورودی به سیستم از نظریه مجموعه‌های فازی استفاده شده است. مدل ارائه‌شده با استفاده از روش ترکیبی زنبورعسل، پارتو و ویکور حل شده است. نتایج نشان می‌دهد تولید محصولات به میزان تعیین‌شده در چنین شرایطی، به‌صورت همزمان بیشینه سود و کمینه هزینه را برای شرکت تولیدی به ارمغان خواهد آورد.

کلیدواژه‌ها


عنوان مقاله [English]

Proposing a Fuzzy Multi Product Production- Inventory Model with Backlogging, Rework, Constraints Production Rate Limits, Storage Space and Capital And Solving It By Meta-Heuristic Methods

نویسندگان [English]

  • Meisam Jafari Eskandari 1
  • reza ebrahimi 2
  • Ehsan Molaie 3
1 Assistant Professor, Industrial Engineering Group, Payame Noor University, Tehran, Iran
2 MSc, Industrial Engineering Group, Payame Noor University, Asalooye, Iran
3 PhD Student, Industrial Engineering Group, Payame Noor University, Tehran, Iran
چکیده [English]

Inventory management and production planning are two of necessary tasks for each manufacturing organization. In this paper, a production-inventory model with backlogging is expanded to identify the optimal value of inventory in multi-product organizations when demand is uncertain. The purpose of this problem is maximizing the total company’s profit considering inventory costs such as storage of raw materials and finished goods, backlogging contains both back order and lost sale, and purchasing, which is resulted in a nonlinear model. Also in this paper reworking of defected items and constraints such as finite production rate, warehouse space and capital are considered. The fuzzy set theorem is used to cope with uncertain inputs. To solve the proposed model a combined Honey Bee, Pareto and VIKOR method is applied. Results show that in the similar situations, applying this methodology leads to a maximum profit and minimum cost for manufacturing organizations.

کلیدواژه‌ها [English]

  • Multi-product Production-inventory model
  • Backlogging
  • Fuzzy sets theorem
  • Pareto logic
  • VIKOR
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