توسعه یک الگوریتم شاخه و کران برای حل مساله زمانبندی در سیستم تولید جریان کارگاهی مونتاژی

نوع مقاله: پژوهشی

نویسندگان

دانشگاه شاهرود

چکیده

سیستم تولید جریان کارگاهی مونتاژی شامل دو مرحله است. در مرحله اول پردازش قطعات صورت می‌گیرد و معمولا به صورت یک ایستگاه با ماشین‌های موازی درنظر گرفته می‌شود. مرحله دوم نیز یک ایستگاه یا خط مونتاژ می‌باشد که قطعات پردازش شده، در آن مونتاژ و محصولات نهایی کامل می‌شود. در این تحقیق فرض می‌شود قرار است تعدادی محصول از انواع مختلف تولید شود و هر محصول جهت کامل شدن، نیازمند قطعاتی مشخص است. بعضی از قطعات محصولات مشترک و مشابه بوده و بعضی قطعات هم مختص یک محصول می‌باشد لذا باتوجه به تولید قطعات مشابه، موضوع زمان آماده‌سازی (setup time) و تولید دسته ای قطعات مشابه نیز نیازمند بررسی است. هدف عبارتست از زمانبندی پردازش قطعات در ایستگاه اول و مونتاژ محصولات در ایستگاه دوم بطوری که زمان تکمیل کل محصولات حداقل شود. طبق بررسی پیشینه تحقیق، این مساله جزء مسائل  NP-hard محسوب می‌گردد. ابتدا پارامترها و ویژگیهای مساله تعریف و پس از ارائه مدل ریاضی مساله، یک الگوریتم شاخه و کران برای حل مساله مورد نظر در ابعاد کوچک و متوسط ارائه می‌شود. همچنین به منظور افزایش کارایی الگوریتم پیشنهادی، دو حد پایین و دو حد بالا برای جواب مسائل توسعه داده می‌شود. در نهایت، چندین مساله تست با شرایط متنوع طراحی و عملکرد الگوریتم پیشنهادی در حل این مسائل ارزیابی شده است.

کلیدواژه‌ها


عنوان مقاله [English]

Proposed a branch and bound algorithm for Assembly flow shop scheduling problem

نویسندگان [English]

  • seyed mohammad hassan hosseini
  • ali akbar hassani
چکیده [English]

Assembly flow shop production system includes two stages. In the first stage that is usually assumed one station with some parallel machines, the parts are processed. The second stage is an assembly station (or line) to assemble the parts and complete the products. Suppose that a number of products of different kinds are ordered to be produced and each product needs a set of several parts to complete. Some of the parts are common and some others are unique for each product. Therefore it is important to study the setup times and batch production. The aim is to schedule the parts for process and the products for assembly with the minimum complete time objective. Literature review shows that the considered problem is a NP-Hard problem, so the problem characteristics and its parameters are defined and then a branch and bound algorithm is introduced to solve the small and mediocre problems. Some lower bounds and upper bounds are improved to increase the algorithm efficiency. Finally, a variety of problem is designed and performance of the proposed algorithm is evaluated in solving this problems.

کلیدواژه‌ها [English]

  • scheduling
  • Assembly flow shop. Branch &
  • amp
  • Bound algorithm
  • Makespan
 

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