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Solving a Fuzzy Multi-objective Rransportation Problem Using Interactive Methods

Amini, Zohreh | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 48429 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Mahdavi Amiri, Nezamoddin
  7. Abstract:
  8. Decision making is the most important and popular aspect of applying mathematical methods in various fields of human activity. Decisions are nearly always made on the basis of information obtained in conditions of uncertainty. In this thesis, the transportation planning decision (TPD) problem is defined with fuzzy parameters. Our purpose is to simultaneously minimize the total production and transportation costs and the total delivery time with reference to budget constraints and available supply, machine capacities at each source, as well as forecast demand and warehouse space constraints at each destination, and achieve an expected efficient solution for the decision maker according to the level of satisfsction. To solve the problem, we explain two interactive methods recently proposed in the literature. These two methods are implemented using the GAMS software environment. The programs are tested on a number of problems. The obtained results show a better performance of one method over the other. Then, we describe the zero point method which is convenient for solving transportation problems with trapezoidal fuzzy numbers and crisp numbers. The solution procedure is illustrated with a numerical example
  9. Keywords:
  10. Trapezoidal Fuzzy Number ; Fuzzy Membership Function ; Fuzzy Programming ; Multi Objective Programming ; Fuzzy Transportation Planning ; S-Curve Membership Functions ; Zero Point Method

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