دانلود مقاله ISI انگلیسی شماره 52736
ترجمه فارسی عنوان مقاله

# راه حل برنامه ریزی تولید و بازاریابی یکپارچه فازی بر اساس اصل توسعه

عنوان انگلیسی
Solution of fuzzy integrated production and marketing planning based on extension principle
کد مقاله سال انتشار تعداد صفحات مقاله انگلیسی
52736 2012 8 صفحه PDF
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Computers & Industrial Engineering, Volume 63, Issue 4, December 2012, Pages 1201–1208

ترجمه کلمات کلیدی
بهينه سازي - برنامه نویسی هندسی - تولید - اصل توسعه - مجموعه های فازی
کلمات کلیدی انگلیسی
Optimization; Geometric programming; Production; Extension principle; Fuzzy set
پیش نمایش مقاله

#### چکیده انگلیسی

The integration of production and marketing planning is crucial in practice for increasing a firm’s profit. However, the conventional inventory models determine the selling price and demand quantity for a retailer’s maximal profit with exactly known parameters. When the demand quantity, unit cost, and production rate are represented as fuzzy numbers, the profit calculated from the model should be fuzzy as well. Unlike previous studies, this paper develops a solution method to find the fuzzy profit of the integrated production and marketing planning problem when the demand quantity, unit cost, and production rate are represented as fuzzy numbers. Based on Zadeh’s extension principle, we transform the problem into a pair of two-level mathematical programming models to calculate the lower bound and upper bound of the fuzzy profit. According to the duality theorem of geometric programming technique, the two-level mathematical program is transformed into the one-level conventional geometric program to solve. At a specific α-level, we can derive the global optimum solutions for the lower and upper bounds of the fuzzy profit by applying well-developed theories of geometric programming. Examples are given to illustrate the whole idea proposed in this paper.