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

Authors: B.S. Surya Prabhavati; V. Ravindranath

Addresses: Department of Mathematics, Jawaharlal Nehru Technological University Kakinada, Kakinada, Andhra Pradesh, India ' Department of Mathematics, Jawaharlal Nehru Technological University Kakinada, Kakinada, Andhra Pradesh, India

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.

DOI: 10.1504/IJMOR.2022.127734

International Journal of Mathematics in Operational Research, 2022 Vol.23 No.4, pp.545 - 567

Received: 13 Jul 2021
Accepted: 01 Nov 2021
Published online: 15 Dec 2022 *

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