New Methods for Solving Fully Fuzzy Transportation Problems with Trapezoidal Fuzzy Parameters

Author(s):  
Amarpreet Kaur ◽  
Janusz Kacprzyk ◽  
Amit Kumar
2015 ◽  
Vol 9 ◽  
pp. 915-927 ◽  
Author(s):  
Giancarlo de Franca Aguiar ◽  
Barbara de Cassia Xavier Cassins Aguiar ◽  
Volmir Eugenio Wilhelm

Author(s):  
Bogdana Stanojevic ◽  
Milan Stanojević

In this paper, proposing a mathematical model with disjunctive constraint system, and providing approximate membership function shapes to the optimal values of the decision variables, we improve the solution approach to transportation problems with trapezoidal fuzzy parameters. We further extend the approach to solving transportation problems with intuitionistic fuzzy parameters; and compare the membership function shapes of the fuzzy solutions obtained by our approach to the fuzzy solutions to full fuzzy transportation problems yielded by approaches found in the literature.


Author(s):  
Huzoor Bux Kalhoro

In this paper, we present a comprehensive database of the data tables of some important transportation problems from literature, and experience with the proposition of new initial basic feasible (IBF) solution methods for the transportation problems. The paper contains a comprehensive database of 140 transportation problems, of which 103 are balanced, 25 are unbalanced and 12 are from research papers. The detailed description of the varying-nature test problems is described, and the optimal solutions of the 140 problems have been obtained by using the TORA software with the modified distribution (MODI) method. The algorithms of three methods: North-West-Corner (NWCM), Least cost (LCM) and Vogel’s approximation (VAM) have been used for IBF solutions. The final optimal results are also quoted for the ready reference of researchers and practitioners. The database of problems and their optimal solutions will be a great aid to researchers and practitioners working with the existing and new methods for solving transportation problems. A pioneering investigation of the performance evaluation of NWCM, LCM and VAM has also been conducted as a benchmark for the similar assessment of other existing and forthcoming IBF and /or optimal solution methods for the transportation problems.


Author(s):  
Amit Kumar ◽  
Amarpreet Kaur

There are several methods, in literature, for finding the fuzzy optimal solution of fully fuzzy transportation problems (transportation problems in which all the parameters are represented by fuzzy numbers). In this paper, the shortcomings of some existing methods are pointed out and to overcome these shortcomings, two new methods (based on fuzzy linear programming formulation and classical transportation methods) are proposed to find the fuzzy optimal solution of unbalanced fuzzy transportation problems by representing all the parameters as trapezoidal fuzzy numbers. The advantages of the proposed methods over existing methods are also discussed. To illustrate the proposed methods a fuzzy transportation problem (FTP) is solved by using the proposed methods and the obtained results are discussed. The proposed methods are easy to understand and to apply for finding the fuzzy optimal solution of fuzzy transportation problems occurring in real life situations.


Author(s):  
Geetha V. ◽  
Gomathy C K ◽  
Tilak Tuppati ◽  
Yeshwanth, Yellanki

The Traffic in the metropolitan urban communities plays an essential part in transportation problems. Though many changes are happening in the E-Challan systems and traffic maintenance methods, some new methods are indispensable to control the traffic in urban areas. Mainly no-parking areas are the main concern and it always leads to the traffic problem. A regular monitoring system is needed to monitor the no parking zones which help to solve the problem occurred by parking the vehicles in no parking areas. So, E-Challan is the solution to resolve the issues at significant spots like no-parking regions. This project proposes an E-Challan system with the help of number plate detection using OpenCV library. Cameras are used to get the images of vehicles parked in the restricted areas. License numbers which are detected through traffic cameras automatically search for the registered phone numbers in the database and send this E-Challan as an SMS to the registered phone numbers of the people who violated the regulation proposed by the respective government.


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