A Generalized Neutrosophic Solid Transportation Model with Insufficient Supply

Abstract

The classical transportation problem and the solid transportation problem are special types of linear programming problems which are very important in Operations Research. In this paper, a solid transportation model is
described, where the total supply of goods is insufficient to fulfil the total demand of goods, due to which the supplier
company tries to obtain the required remaining goods from another source. An expression is derived to determine the
import plan. The parameters of the model are considered to be uncertain and imprecise and are taken as trapezoidal
neutrosophic numbers. The paper gives a general formulation of such a model and an algorithm is proposed to solve
the model. The main objective function of the model present in the manuscript is to minimize the total cost. A formula is provided to check the degree of sufficiency of such a solution. The model is elucidated with a numerical example and its solution shows its efficiency and optimality in practical aspect. Finally, the paper provides a brief discussion about the computational time and some relative points of research.