ارائه مدل بهینه ‏سازی استوار دوسطحی در برنامه‏ ریزی تولید با در نظرگیری تصمیمات قیمت‏گذاری به‏ منظور پاسخگویی به تقاضا در فضای رقابتی: مطالعه موردی

نوع مقاله: مقاله پژوهشی

نویسندگان

1 استاد، دانشکده مهندسی صنایع، دانشگاه علم و صنعت ایران، تهران، ایران.

2 دانشجوی دکتری، دانشکده مهندسی صنایع، دانشگاه علم و صنعت ایران، تهران، ایران.

چکیده

برنامه‏ریزی دوسطحی، یک برنامه‏ریزی ریاضی است که در محدودیت‏های آن، مسئله بهینه‏سازی دیگری نیز وجود دارد. در این پژوهش، با توجه به رقابت شدید کنونی بین شرکت‏های تولیدی بزرگ برای کسب سهم بیشتری از بازار، یک مدل بهینه‏سازی استوار دوسطحی به‏صورت رهبر و پیرو به کمک بازی استکلبرگ در حوزه برنامه‏ریزی تولید، توسعه داده شده است. شرکت رهبر با قدرت نفوذ بالاتر، قصد تولید محصولات جدیدی دارد که می‏توانند جایگزین محصولات موجود گردند. شرکت‏های پیرو به‌عنوان رقیب، همانند شرکت رهبر به دنبال فروش بیشتر هستند و درعین‌حال، قصد و توان تولید چنین محصولات جدیدی را ندارند. قیمت محصولات جدید با روابط کششی ارائه شده بین تقاضای غیرقطعی و قیمت تعیین شده است که در واقع بازی بین دو سطح مدل را شکل می‏دهد. پس از خطی‏سازی، مدل استوار دوسطحی با استفاده از شرایط کاروش‏کان‏تاکر (KKT) به مدل تک‏سطحی معمولی تبدیل شده است. درنهایت، صحت و کارایی مدل توسعه یافته با استفاده از داده‏های واقعی شرکت سَروستان سپاهان واقع در استان اصفهان به‌عنوان رهبر در بازار رقابتی بررسی شده است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

A Bi-Level Robust Optimization Model in Production Planning by Consideration of Pricing Decisions for Satisfying the Demand in a Competitive Environment: a Case Study

نویسندگان [English]

  • Mohammad Saidi-Mehrabad 1
  • Adel Aazami 2
1 Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran.
2 PhD Candidate, Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran.
چکیده [English]

Bi-level programming is a mathematical programming, which there is another optimization problem at its constraints. According to the current fierce competition between large production companies to obtain a greater share of the market, this study develops a bi-level robust optimization model as the leader and the follower using Stackelberg game in the field of production planning. The leader company with higher leverage has decided to produce some new products that can be replaced with the existing products. The follower companies as a competitor, similar to the leader company, are looking to sell more. The follower companies do not have any intent and ability to produce such new products. Prices of the new products are determined using the tensile relations, which presented between the uncertain demand and price, creating the game between two levels of the model. After the linearization, the bi-level robust model is transformed to standard single-level model using conditions of Karush–Kuhn–Tucker (KKT). Finally, the accuracy and efficiency of the developed model have been verified by using the real data of Sarvestan Sepahan Company in Isfahan as the leader in the competitive market.

کلیدواژه‌ها [English]

  • Bi-level Programming
  • Robust optimization
  • Production Planning
  • Competitive Environment
  • Pricing

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