Abstract
This article puts forward a new one point approach to optimize trapezoidal fuzzy transportation problem. It proposes the method having point wise breakup of the trapezoidal number in such a way, that fuzzy transportation problem is converted into four crisp transportation problems. The method is equipped with minimum of supply and demand approach. In the end, the solutions are combined to construct the optimal solution. Modified distribution is applied on each crisp problem to develop optimal solution. The scheme presented is compared with competitive methods available in literature and it is found to be in good coordination with these. The scheme is equally good to be applied on unbalanced problems. Two numerical problems are considered to test the performance of the proposed approach.
Highlights
An appropriate shipment of commodities from factories to distributers is a crucial step in business management
Applying Modified distribution (MODI) technique on this initial basic feasible solution (IBFS) it is confirmed as optimal solution in third iteration
Applying MODI technique on this IBFS it is confirmed as optimal solution in second iteration
Summary
An appropriate shipment of commodities from factories to distributers is a crucial step in business management. The one-point approach is based on the concept of the possible optimized outcome of a FTP if all the four entries of trapezoidal cost with the corresponding demand and supply are covered one by one at a time. It provides all possible optimal transportation costs in appearance of a fuzzy trapezoidal number. This approach is combined with minimum of demand and supply algorithm to solve each crisp transportation problem as described below: Consider a crisp balanced transportation problem having table of order ( p, r) with supply a i ,i 1,2,..., p and demand b j , j 1,2,...,r along with corresponding cost cij. Proposed technique is found in good harmony with these previous techniques
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
