Corporate and industries are fundamentally tackling with financial optimization such as cost minimization of non-economic items that are vibrant to the presence of their businesses. The transportation problem (TP) is one of the ultimate optimization problems in the branch of optimization or operations research (OR). The transportation problems mostly focus on the best possible way a product manufactured at different supply origins can be transported to a various demand destinations. The objective in a TP is to fully gratify the destination necessities within the functioning manufacture capacity constraints at the minimum feasible cost. The construction of transportation problem comprises a large number of transport routes from numerous supply origins to numerous demand destinations. The penalty i.e., the coefficients of the objective function can characterise transportation cost, time, profit, product defectiveness and so on. In this paper we have developed Multi objective Time dependent transportation problem formulation and their solutions by using fuzzy programming technique with two objective cost as a function of time and risk.

KEYWORDS: Multi- Objective, Transportation, Liner Regression, Fuzzy Programming, Cost, Time.