A simple and efficient method to solve fully interval and fuzzy transportation problems

B.S. Surya Prabhavati and V. Ravindranath

International Journal of Mathematics in Operational Research, 2022, vol. 23, issue 4, 545-567

Abstract: One of the prime goals of an organisation is to establish good transportation and supply chain network to optimise the delivery costs. In practice network parameters are often expressed in either intervals or fuzzy numbers which are difficult to deal with the classical methods. In this paper, we have proposed modified minimum supply demand method to solve interval transportation problem and extended it to fully fuzzy transportation problems (FTP), where the supply, demand and the transportation cost parameters are either triangle or trapezoidal fuzzy numbers. The interval solution for the FTP has been proved to lie within the interval range of the corresponding optimum fuzzy solution. If the parameters are either triangle or trapezoidal fuzzy numbers, our solution coincides with the optimal solution and the method is demonstrated with a numerical example of logistics problem in the field of pharmaceutics.

Keywords: interval transportation problem; ITP; fuzzy transportation problem; FTP; optimum interval solution; minimum supply demand; trapezoidal fuzzy number; triangular fuzzy number. (search for similar items in EconPapers)
Date: 2022
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