Modeling and Analyzing Incremental Quantity Discounts in Transportation Costs for a Joint Economic Lot Sizing Problem

Document Type : Research Paper


1 Department of Industrial Engineering, Kermanshah University of Technology, Kermanshah, Iran

2 Department of Industrial Engineering, Yazd University, Yazd, Iran


Joint economic lot sizing (JELS) addresses integrated inventory models in a supply chain. Most of the studies in this field either do not consider the role of the transportation cost in their analysis or consider transportation cost as a fixed part of the ordering costs. In this article, a model is developed to analyze an incremental quantity discount in transportation cost. Appropriate equations are derived to compute the costs related to the inventory systems in the buyer and vendor sites. Then, a procedure including five steps is proposed to optimize the model and determine the values of the decision variables. To analyze the performance of the incremental discount, the JELS problem is studied in two other states of transportation costs.  These states include fixed transportation cost and all-unit quantity discount.  Moreover, some numerical analyses are carried out to show the impact of transportation costs and inventory-related parameters on the system performance. According to the results of the sensitivity analyses, it is observed that all-unit quantity discount leads to a better performance of the system in comparison with the incremental quantity discount.


Main Subjects

Article Title [فارسی]

مدل سازی و تحلیل تخفیف تدریجی در هزینه های حمل و نقل برای مسئله توام تعیین اندازه انباشه اقتصادی

Authors [فارسی]

  • حسن رسائی 1
  • امیرمحمد گل محمدی 2
1 گروه مهندسی صنایع، دانشگاه صنعتی کرمانشاه، کرمانشاه، ایران
2 گروه مهندسی صنایع، دانشگاه یزد، یزد، ایران
Abstract [فارسی]

مسئله توام تعیین اندازه انباشته اقتصادی به مدل های یکپارچه کنترل موجودی در زنجیره تامین می پردازد. بیشتر مطالعات در این زمینه یا نقش هزینه های حمل و نقل را در نظر نگرفته اند و یا هزینه های حمل و نقل را به عنوان یک بخش ثابت از هزینه های سفارش دهی بررسی کرده اند. در این مقاله مدلی برای در نظر گرفتن تخفیف تدریجی (افزایشی) در هزینه های حمل و نقل پیشنهاد شده است. روابط مناسبی برای استخراج هزینه های موجودی سیستم در انبارهای فروشنده و خریدار بدست آمده است. آنگاه یک فرایند پنج مرحله ای برای بهینه سازی مدل پیشهادی ارائه شده است. برای تحلیل کارایی مدل تخفیف تدریجی، مسئله توام تعیین اندازه انباشته در دو حالت مختلف دیگر نیز بررسی شده است. این حالت های شامل :(1) هزینه های حمل و نقل ثابت و (2) تخفیف کلی در هزینه های حمل و نقل می باشد. همچنین برخی تحلیل های حساسیت انجام شده است تا تاثیر پارامترهای مربوط به هزینه های حمل و نقل و هزینه های موجودی بر عملکرد سیستم مشخص شود. براساس نتایج این تحلیل ها، تخفیف کلی در هزینه های حمل و نقل منجر به عملکرد بهتری در مقایسه با تخفیف تدریجی می شود

Keywords [فارسی]

  • تعیین اندازه انباشه اقتصادی توام
  • تخفیف مقداری کلی
  • تخفیف مقداری تدریجی
  • مدل یکپارچه کنترل موجودی
  • حمل و نقل
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