ارائه یک روش ابتکاری برای کمینه‌کردن مجموع وزنی کارهای تأخیری و هزینه‌های ارسال برای زمان‌بندی یکپارچه تولید و توزیع در زنجیره تأمین با در نظر گرفتن مسیریابی

نوع مقاله: مقاله پژوهشی

نویسندگان

1 دانشجوی کارشناسی ارشد، دانشکده مهندسی صنایع و سیستم‌ها، دانشگاه صنعتی اصفهان، اصفهان، ایران

2 دانشیار، دانشکده مهندسی صنایع و سیستم‌ها، دانشگاه صنعتی اصفهان، اصفهان، ایران

3 استادیار، دانشکده مهندسی صنایع و سیستم‌ها، دانشگاه صنعتی اصفهان، اصفهان، ایران

چکیده

یک مسئله یکپارچه زمان‌بندی تولید و توزیع را در نظر بگیرید که در آن کارها پس از پردازش در سیستم تولیدی، به‌صورت مسیریابی و در قالب دسته‌هایی برای مشتریان ارسال می‌شود. فرض کنید هر مشتری یک سفارش به تولیدکننده ارائه می‌کند. هر سفارش دارای یک موعد تحویل است. سفارش‌ها توسط یک ماشین پردازش می‌شوند و به‌صورت دسته‌ای توسط وسایلی به تعداد کافی و با ظرفیت نامحدود ارسال می‌شوند. ارسال دسته‌ای معمولاً منجر به کاهش هزینه‌های ارسال می‌گردد، اما ممکن است تعداد کارهای تأخیری را افزایش دهد. هدف تعیین تعداد وسایل ارسال و مسیرهای بهینه جهت کمینه‌کردن مجموع وزنی کارهای تأخیری و هزینه‌های ارسال است. این مسئله برای اولین بار با این تابع هدف موردبررسی قرار گرفته‌است. پیچیدگی مسئله مذکور NP-Hard قوی است. در این مقاله، برای این مسئله یک مدل برنامه‌ریزی خطی ریاضی و یک روش ابتکاری به همراه آزمون محاسباتی ارائه شده است. طراحی آزمایش‌ها به‌صورت کامل بر روی تمام عوامل انجام شده است. نتایج آزمون محاسباتی برای مسائل حل‌شده، کارایی روش ابتکاری را نشان می‌دهد. همچنین با استفاده از روش تجزیه و تحلیل واریانس تأثیر سطوح مولفه‌های مسئله بر روی عملکرد CPLEX موردبررسی قرار گرفته است.

کلیدواژه‌ها


عنوان مقاله [English]

A Heuristic Method to Minimize Total Weighted Number of Tardy Jobs and Transportation Costs for an Integrated Production and Distribution Problem with VRP

نویسندگان [English]

  • Mahdi Khodabandeh 1
  • Seyed Reza Hejazi Taghanaki 2
  • Morteza Rasti-Barzoki 3
1 M.s. Student, Faculty of Industrial Engineering Department, Isfahan University of Technology, Isfahan, Iran
2 Associate Professor, Faculty of Industrial Engineering Department, Isfahan University of Technology, Isfahan, Iran
3 Assistant Professor, Faculty of Industrial Engineering Department, Isfahan University of Technology, Isfahan, Iran
چکیده [English]

In this paper an integrated production and outbound distribution scheduling (IPODS) with vehicle routing problem (VRP) for multi customer situation in a supply chain is addressed. There are K orders (jobs) that have to be scheduled on a single machine and delivered to K customers. Each order has its own due date. The manufacturer delivers the orders in batches which have no capacity constraint. Delivering the products in batches reduces the delivery cost but it may increase the number of tardy jobs. No other research has been conducted on this problem yet. This problem is strongly NP-Hard. The objective is to minimize the sum of the total weighted number of tardy jobs and delivery costs. Also, in this paper, an MILP model and a Heuristic Algorithm (HA) for solving this problem are presented. Full factorial Computational test is performed for evaluation of these two methods. The obtained results on 3840 problems show that the heuristic algorithm is efficient for solved problem. Also we surveyed parameter's levels effect on CPLEX and heuristic performance by analysis of variance.

کلیدواژه‌ها [English]

  • supply chain
  • Scheduling
  • Tardy Job
  • Heuristic

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