Unbalanced FTP with Circumcenter of Centroids and Heuristic Method

• Published in: Annals of the Romanian society for cell biology Vol. 25; no. 1; pp. 5672 - 5684
• Main Authors: Prabha, S Krishna, Hema, P, Sangeetha, S, Sreedevi, S, Guhan, T, Pillai, Vinay Jha
• Format: Journal Article
• Language: English
• Published: Arad "Vasile Goldis" Western University Arad, Romania 01.01.2021
• Subjects: Algorithms; Cellular biology; Fuzzy sets; Heuristic; Linear programming; Problem solving; Random variables
• ISSN: 2067-3019; 2067-8282

In this work we have applied Circumcenter of Centroids ranking method to convert fuzzy quantities in to crisp quantities. [...]Heuristic Method for unraveling the Triangular Fuzzy Transportation Problem is proposed. [...]the proposed method gives an optimum solution which is explained clearly by comparison chart. Heuristic method, Circumcenter of Centroids ranking technique, Unbalanced fuzzy transportation problem, Triangular fuzzy numbers. score function AMS Subject Classification: 90B06, 90C90, 90C70 (ProQuest: ... denotes formulae omitted.) 1.Introduction The processes of Transportation ensure the proficient progress and timely availability of raw materials and finished goods. Problem Formulation The balanced fuzzy transportation problem, in which a decision maker is uncertain about the precise values of transportation cost, availability and demand, may be formulated as follows: minimize ... cij · xij Subject to Σqj=1 xij =ãi, i = 1,2,3,...,p ΣPi=1 Xij =bj,j = 1,2,3,...,q Σpi=1 ai = Σqj=1bj Xij is a non- negative trapezoidal fuzzy number, Where p = total number of sources Q = total number of destinations ai = the fuzzy availability of the product at ith source bj = the fuzzy demand of the product at jth destination Cij = the fuzzy transportation cost for unit quantity of the product from ith source to jth destination xij = the fuzzy quantity of the product that should be transported from ith source to jth destination to minimize the total fuzzy transportation cost. £ f=i ai=1total fuzzy availability of the product, Σqj=1 bj=1total fuzzy demand of the product Σpi=1 Σqj=1=i Cij · Xjj=1 total fuzzy transportation cost.