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Solving linear fractional transportation problem with interval cost, source and destination parameters | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 06 بهمن 1403 اصل مقاله (343.17 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.32129.4773 | ||
| نویسندگان | ||
| Abouzar Sheikhi1؛ Seyyed Mehdi Karbassi* 2؛ Narges Bidabadi2 | ||
| 1Department of Mathematics, Baghmalek Branch, Islamic Azad University, Baghmalek, Iran | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran | ||
| تاریخ دریافت: 01 آبان 1402، تاریخ پذیرش: 04 دی 1402 | ||
| چکیده | ||
| In this paper, we focus on the fractional transportation problem where the cost coefficient of the objective functions, and the source and destination parameters have been expressed as interval values. The variable transformation solves the linear fractional transportation problem with interval coefficients in the objective function. In this method, instead of intervals in the function, using a convex combination of the left limit and right limit of the interval, linear fractional transportation problems with Interval Coefficients are reduced to a nonlinear programming problem. Finally, the nonlinear problem is transformed into a linear programming problem with two more constraints and one more variable compared to the initial problem. The constraints with interval source and destination parameters have been converted into deterministic ones. Numerical examples are presented to clarify the idea of the proposed approach for three possible cases of the original problem. | ||
| کلیدواژه‌ها | ||
| interval coefficients؛ convex combination؛ linear fractional programming problems؛ linear fractional transportation problems | ||
| مراجع | ||
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