نویسنده

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

چکیده

در این مقاله مسئله تعیین اندازه انباشته و زما‌ن‌بندی چند محصول در محیط جریان کارگاهی انعطاف‌پذیر با ماشین‌های موازی یکسان بررسی می‌شود. مراحل تولید به‌صورت سری بوده و بافر محدود بین مراحل متوالی درنظر گرفته شده است. تابع هدف مسئله، کمینه سازی مجموع هزینه‌های راه‌اندازی و نگهداری در واحد زمان است. مدل ریاضی موجود در ادبیات مسئله دارای پیچیدگی اندازه و پیچیدگی محاسباتی زیادی است. در این مقاله، یک مدل ریاضی خطی مختلط عدد صحیح جدید برای مسئله ارائه می‌شود. همچنین یک الگوریتم فرا ابتکاری کارآمد برای حل ابعاد بزرگ مسئله پیشنهاد می‌شود. نتایج حاصل از انجام آزمایشات عددی، بیانگر برتری قابل توجه مدل و الگوریتم پیشنهادی این مقاله در مقایسه با مدل و الگوریتم‌های موجود در ادبیات مسئله است.

کلیدواژه‌ها

عنوان مقاله [English]

New Mathematical Model and Algorithm for Economic Lot Scheduling Problem in Flexible Flow Shop

نویسنده [English]

  • H. Zohali

چکیده [English]

This paper addresses the lot sizing and scheduling problem for a number of products in flexible flow shop with identical parallel machines. The production stages are in series, while separated by finite intermediate buffers. The objective is to minimize the sum of setup and inventory holding costs per unit of time. The available mathematical model of this problem in the literature suffers from huge complexity in terms of size and computation. In this paper, a new mixed integer linear program is developed for delay with the huge dimentions of the problem. Also, a new meta heuristic algorithm is developed for the problem. The results of the numerical experiments represent a significant advantage of the proposed model and algorithm compared with the available models and algorithms in the literature.

کلیدواژه‌ها [English]

  • lot sizing
  • Scheduling
  • hybrid flow shop
  • mathematical model
  • meta heuristic
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