In this article, we propose a new method for solving the interval fixed charge transportation problem (IFCTP), wherein the parameters (associated cost, fixed cost, supply, and demand) are represented by interval numbers. First, an equivalent bi-objective fixed charge transportation problem (FCTP) is derived from the given IFCTP, and then the equivalent crisp problem is solved using a fuzzy programming technique. To demonstrate the solution procedure, two existing numerical examples (Safi and Razmjoo {\cite{bakp1}}) are coded and solved in LINGO 19.0. We establish the effectiveness of our proposed method through a comparison of the results achieved with those of two pre-existing methods.
翻译:本文提出了一种求解区间固定费用运输问题(IFCTP)的新方法,其中(相关成本、固定成本、供应量和需求量)等参数以区间数表示。首先,从给定的IFCTP推导出一个等价的雙目标固定费用运输问题(FCTP),然后利用模糊规划技术求解该等价清晰问题。为展示求解过程,我们选取了两个现有数值算例(Safi和Razmjoo \cite{bakp1})并在LINGO 19.0中编码求解。通过与两种现有方法的结果进行对比,验证了所提方法的有效性。