Optimum Intervention in Transportation Networks Using Multimodal System under Fuzzy Stochastic Environment
Algorithm 1
Steps for solving FSMMTP.
(i)
Step 1: according to the given problem, first set up the level of the supplementary and other nodes of the decision making problem.
(ii)
Step 2: consider the fuzzy-stochastic cost with respective membership functions and distribution functions for each transportation route by the decision maker’s choice.
(iii)
Step 3: construct the objective function corresponding to each level of transportation along with the main objective function and formulate the restrictions as per choice of the DM, described in the constraints (6)–(8) of Model 2.
(iv)
Step 4: reduce FSMMTP to crisp TP using Section 5.
(v)
Step 5: solve the deterministic model obtained in Step 4 by using a simplex algorithm, and in case of a number of variables, one can use MATLAB or LINGO software to solve the problem.
(vi)
Step 6: from the obtained solution, we get the optimal value of the objective function as well as the optimal selection transportation mode. Thus, DM can get information about the amount of goods run over the supplementary origins throughout the procedure.
