IJE TRANSACTIONS C: Aspects Vol. 29, No. 12 (December 2016) 1704-1716    Article in Press

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A. Zarei, H. Khademi Zare and M. Nakhaei Nezhad
( Received: June 19, 2016 – Accepted in Revised Form: September 30, 2016 )

Abstract    Making decisions about the economic selection of the customers plays a significant role in the sale and logistic management of the companies. Furthermore, another issue affecting the relationship between the suppliers and the customers is the proper and timely distribution of the products as well as the optimum mixing of the distribution routes to reduce transportation costs. In this paper, the issues of the integration of routing, and the economic selection of customers has been explored aiming at minimizing the transportation, maintenance, and discount costs and maximizing the products selling profits. In addition to the amount of customer's purchasing, costumers' collection period is effective to offer them discounts. The economic customers are selected due to three factors: the discount on the price of the product, the marginal profit of the requested products, and the distance from the supplier's warehouse. Games software was used for the exact solution of the model, and Simulated annealing algorithm was used to solve the model in larger dimension. The efficiency and applicability of the proposed model was approved comparing the optimum results with a high preciseness as 98.91 percent. Moreover, in the case study of Kalleh Company, the results revealed 14% increase in pure profits.


Keywords    Vehicle Routing, Economic Selection of the Customers, Discounts, Collection Period, Optimization, Distribution and Sales Planning


چکیده    تصمیم گیری در مورد انتخاب اقتصادی مشتریان نقش قابل توجهی در فروش و مدیریت لجستیک شرکت ها دارد. همچنین، یکی دیگر از موضوعات تاثیرگذار در روابط میان تامین کنندگان و مشتریان، توزیع صحیح و به موقع محصولات و ترکیب بهینه از مسیرهای توزیع جهت کاهش هزینه های حمل و نقل است. در این مقاله به مسئله یکپارچه سازی چند دوره ای، چند محصولی مسیریابی و انتخاب اقتصادی مشتریان با هدف حداقل نمودن هزینه های حمل و نقل، هزینه های نگهداری موجودی در انبار، هزینه های تخفیف و حداکثر نمودن سود حاصل از فروش محصولات، پرداخته شده است. علاوه بر حجم خرید مشتریان، مدت زمان پرداخت مشتریان در میزان ارائه تخفیف به آنها موثر است. مشتریان اقتصادی با توجه به سه عامل تخفیف قیمت کالا، حاشیه سود محصولات درخواستی و فاصله از انبار تامین کننده انتخاب می شوند. برای حل دقیق مدل از نرم افزار گمز و برای حل در ابعاد بزرگتر از الگوریتم شبیه سازی تبرید استفاده شده است. کارایی مدل پیشنهادی با مقایسه جواب های بهینه با دقت بالای 98.91 درصد می باشد. همچنین در مطالعه موردی شرکت کاله شیراز ، نتایج حاصل، کاهش 14 درصدی در هزینه‌های این شرکت را نشان می دهد.


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