Incorporating Return on Inventory Investment into Joint Lot-Sizing and Price Discriminating Decisions: A Fuzzy Chance Constraint Programming Model

Document Type : Research Paper


1 Clothing Engineering and Management Group, Department of Textile Engineering, Amirkabir University of Technology, Tehran, Iran

2 Department of Industrial Engineering, Amirkabir University of Technology, Tehran, Iran

3 Department of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran


Coordination of market decisions with other aspects of operations management such as production and inventory decisions has long been a meticulous research issue in supply chain management. Generally, changes to the original lot-sizing policy stimulated by market prices may impose remarkable deviation revenue throughout the supply and demand chain system. This paper examines how to set the channel prices and the lot-sizing quantities so that the potential maximal return on investment is gained under a differential pricing scenario involving a number of possibilistic constraints to deal with market-segmented price setting, marketing and lot-sizing decisions, concurrently. The model aims to maximize return on inventory investment (ROII). To solve the model, a fuzzy solution approach based on the novel credibility measure is developed. An efficient and tuned search procedure using particle swarm optimization is tailored to reach the solutions of the resultant non-linear crisp model. An illustrative example is also studied to demonstrate the practicability of the proposed mathematical model and its solution approach.


Main Subjects

Article Title [Persian]

ادغام بازگشت سرمایه موجودی در تصمیمات توام قیمت‌گذاری متمایز و تعیین اندازه انباشته: یک رویکرد برنامه ریزی محدودیت شانسی فازی

Authors [Persian]

  • رضا قاسمی یقین 1
  • سیدمحمدتقی فاطمی قمی 2
  • سیدعلی ترابی 3
1 گروه مهندسی پوشاک و مدیریت، دانشکده مهندسی نساجی، دانشگاه صنعتی امیرکبیر، تهران، ایران
2 دانشکده مهندسی صنایع، دانشگاه صنعتی امیرکبیر، تهران، ایران
3 دانشکده مهندسی صنایع، دانشگاه تهران، تهران، ایران
Abstract [Persian]

هماهنگ­سازی تصمیمات بازاریابی با دیگر جنبه‌های مدیریت عملیات مانند تصمیمات تولید و موجودی، یکی از مهم­ترین چالش‌های مدیریت زنجیره عرضه بوده­است. در حالت کلی، تغییرات در اندازه انباشته با قیمت بازار برانگیخته می‌شود. در این مقاله، تصمیمات توام قیمت گذاری متمایز، مخارج بازاریابی و اندازه انباشته با هدف ماکزیمم سازی بازگشت سرمایه موجودی با در نظر گرفتن محدودیت‌های شانسی فازی مدل­سازی می‌شود. تابع هدف بازگشت سرمایه موجودی است که از حاصل نسبت سود به میانگین موجودی محاسبه می‌شود. به جهت حل مدل، یک رویکرد برنامه ریزی محدودیت شانسی مبتنی بر اندازه اعتبار توسعه داده می‌شود. از یک الگوریتم بهینه­سازی انباشته ذراتِ تنظیم شده، برای حصول به جواب استفاده می شود. در نهایت، کاربرد مدل و روش حل  این مقاله از طریق ارائه مثال عددی تحت مطالعه قرار می‌گیرد.

Keywords [Persian]

  • قیمت‌گذاری متمایز
  • اندازه انباشته تولید
  • مدیریت درآمد
  • بهینه سازی فازی
  • اندازه اعتبار
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