مدل بهینه‌سازی دومرحله‌ای استوار وزن‌دار برای انتخاب تأمین‌کنندگان و تخصیص سفارش‌ها در شرایط عدم‌قطعیت

نوع مقاله : مقاله پژوهشی

نویسندگان

1 کارشناسی ارشد مهندسی صنایع، دانشکده مهندسی صنایع، واحد الکترونیکی، دانشگاه آزاد اسلامی، تهران، ایران.

2 استادیار دانشکده مهندسی صنایع، واحد الکترونیکی، دانشگاه آزاد اسلامی، تهران، ایران.

3 استادیار مهندسی صنایع، دانشکده مهندسی صنایع، واحد تهران جنوب، دانشگاه آزاد اسلامی، تهران، ایران.

10.52547/jimp.10.2.111

چکیده

در این پژوهش، تلفیقی از روش تحلیل سلسله­‌مراتبی فازی، مدل برنامه‌­ریزی تصادفی دو‌مرحله‌ای سناریو­محور و رویکرد بهینه‌­سازی استوار در مسئله انتخاب تأمین‌کنندگان و تخصیص سفارش‌­ها در شرایط ریسک تأمین پیشنهاد می‌­شود. عدم‌­قطعیت در تأمین مواد اولیه تحت سه سناریوی افزایش تحریم‌، ثبات تحریم و حذف تحریم در نظر گرفته می‌شود. در گام نخست، عوامل کلیدی در انتخاب تأمین‌کنندگان شناسایی شده و با روش تحلیل سلسله‌مراتبی فازی به هر یک از تأمین‌کنندگان وزنی اختصاص داده می‌شود. در گام دوم، این وزن‌ها به­‌عنوان ورودی در مدل برنامه‌‌ریزی تصادفی دو­مرحله‌­ای وارد می‌­شوند و متغیرهای مرحله دوم را تحت تأثیر قرار می‌دهند؛ سپس رویکرد فرمول‌بندی استوار مالوی برای استوارسازی و همچنین خطی‌سازی مدل به­‌کار می‌­رود. مدل حاصل یک مدل برنامه‌ریزی خطی عددصحیح است که توسط CPLEX برای یک مطالعه موردی اجرا ‌‌‌‌‌‌می‌­شود و نتایج مورد بحث و بررسی قرار می‌گیرد. در­نهایت تحلیل حساسیت بر روی پارامترهای مدل استوار صورت می‌پذیرد و موازنه بین هزینه کل و مقدار تقاضای تأمین‌­نشده نشان داده می‌­شود.

کلیدواژه‌ها

عنوان مقاله [English]

A Weighted Robust Two-Stage Stochastic Optimization Model for Supplier Selection and Order Allocation under Uncertainty

نویسندگان [English]

  • Mostafa Jokar 1
  • Marzieh Mozafari 2
  • Aliakbar Akbari 3
1 M.A., Department of Industrial Engineering, Electronic Branch, Islamic Azad University, Tehran, Iran.
2 Assistant Professor, Department of Industrial Engineering, Electronic Branch, Islamic Azad University, Tehran, Iran.
3 Assistant Professor, Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran.
چکیده [English]

This paper presents an integrated model as a combination of fuzzy analytical hierarchy process (FAHP), scenario-based two-stage stochastic programming and robust optimization approaches for the problem of supplier selection and order allocation under supply risk conditions. Uncertainties in the supply of materials are considered under three scenarios: increased sanctions, stability of sanctions, and sanctions removal. In the first step, the main qualitative factors for the selection of suppliers are identified and a specific weight is assigned to each supplier through FAHP. In the second step, these weights are introduced as inputs to a two-stage stochastic programming model and affect the second-stage variables. In the third step, we use the Mulvey formulation and then linearize the resulted robust two-stage stochastic model. The model is a integer linear programming model solved by CPLEX for a case study and the results are discussed. Finally, a sensitivity analysis is performed on the parameters of the robust model and the balance between the total cost and the unfulfilled demand is shown.

کلیدواژه‌ها [English]

  • Supplier Selection and Order Allocation Problem
  • Uncertainty
  • Fuzzy Analytical Hierarchy Process
  • Two-Stage Stochastic Programming
  • Robust Optimization

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