We had studied the Passenger Transportation Problem using Fuzzy Mathematical Tools and Java Programming with specific reference to the Metropolitan Transportation Corporation of the Chennai city. We study the transportation problem of passengers traveling in a bus between two fixed points under varying constraints. We assume that the approximate number of passengers traveling between every origin-destination pair, along any route in all services is given. To determine the choice of the services, we develop a fuzzy reasoning algorithm where, the fuzzy phrases are represented by the membership function as fuzzy sets. A preference index value is chosen to determine the frequency of the services. We model the problem where the basic input data are treated as Triangular fuzzy numbers. Fuzzy optimization techniques are used to solve this problem.
our aim is to achieve the goal or more precisely the fuzzy goal viz. To maximize the comfort of the passengers in the Metropolitan Transport Corporation (MTC). We try to analyze the fuzziness inherent in the goals and in the constraints of the system under the following five heads:
Minimizing the cost.
Minimizing the travel time.
Maximizing the revenue and
Maximizing the frequency of the services.
Here, we treat our main goal namely maximizing the comfort of the passengers as the core of the problem. We analyze this problem in two ways: First, by using Fuzzy Cognitive Maps and then by using Fuzzy optimization techniques. In the first case expert opinions are obtained by taking the main objective as the passengers comfort. Using Fuzzy Cognitive Maps (FCMs), results are derived from the opinion of the experts and the cumulative FCM is taken as the ultimate opinion. In the second part, we use Fuzzy linear programming to obtain the optimal value bearing in mind, the goal as to maximize the comfort of the passengers subject to certain constraints. Finally, we derive our results by giving weightage to both the methods.