تعیین اندازه انباشته با درنظر گرفتن کالاهای معیوب تحت محدودیت و هزینه احداث فضا

نوع مقاله: پژوهشی

نویسندگان

1 دانشگاه تهران

2 واحد قزوین

چکیده

مسئله مقدار سفارش اقتصادی یکی از رایج ترین مدل­های استفاده شده برای مسائل کنترل موجودی و برنامه­ریزی تولید است. در اکثر این مسائل یک فرض رایج غیرواقعی دریافت کالاها باکیفیت کاملاً مطلوب است. در این مطالعه، یک مدل چندمحصولی مقدار سفارش اقتصادی برای کالاهای با کیفیت نامطلوب ارائه شده است. در این سیستم تمام کالاهای دریافت شده دارای کیفیت مطلوب نیستند و آنهایی که معیوب هستند، دورریز می­شوند. همچنین، در این مدل هزینه احداث انبارها جزء هزینه­های سیستم لحاظ شده است. هدف این مطالعه بدست آوردن مقدار سفارش و نقطه سفارش بهینه هر کالا به­منظور کمینه کردن کل هزینه­های موجودی است. این مدل توسعه یافته یک مسئله برنامه­ریزی غیرخطی محدب است و بر این اساس، یک الگوریتم دقیق برای حل این مدل توسعه داده شده است. در نهایت، یک مثال عددی برای نشان دادن کاربرد و روش حل این مدل پیشنهادی ارائه شده است.  

کلیدواژه‌ها


عنوان مقاله [English]

Lot sizing with defective item under warehouse limitation and construction costs

نویسندگان [English]

  • Ata Allah Taleizadeh 1
  • Amir Hossein Nobil 2
1 tehran
چکیده [English]

The economic order quantity (EOQ) problem is one of the most common used models for the production planning and inventory control problems. A common and unrealistic assumption in these problems is considering prefect quality for all units. In this study, a multi-product EOQ model with imperfect items is proposed. In this system, all received products are not perfect, and imperfect items are scraped. Moreover, in this model the warehouse construction cost is considered as a part of inventory system costs. The objective of this study is to determine the optimal order quantity and reorder point of each product such that the total inventory cost is minimized. The proposed model is a development of a convex nonlinear programming problem therefore an exact algorithm is developed to solve this problem. Finally, to demonstrate the applicability of proposed procedure, a numerical problem is represented.

کلیدواژه‌ها [English]

  • Keywords: EOQ
  • Scrapped products
  • Non-linear Programming
  • Exact solution approach
 

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