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Title: A study on fractional transportation problem using fuzzy programming approach
Researcher: Doke Dnyaneshwar Maruti
Guide(s): Jadhav V A
University: Swami Ramanand Teerth Marathwada University
Completed Date: 20/10/2016
Abstract: In day to day life goods produced at a number of places are consumed at different locations and then the problem faced by producer or dealer is to transfer goods from numerous places of origin to various places of consumption such that cost of transportation, time required, damages to the product etc. are optimum. This is called classical transportation problem. In this study we have studied linear fractional transportation. In Chapter 1 introduction to the operations research is made along with over view of optimization techniques of single objective transportation problem. Chapter 2 is devoted for literature review in the subject of multi objective fractional as well as linear multi objective transportation problems. In chapter 3 basic concepts of fuzzy set theory are given for further usage in the thesis work. From chapter 4 onwards we have stated algorithms for solving different types of multi objective programming problems.In entire work we have used basically linear membership functions, hyperbolic membership function and exponential membership function. These membership functions are fuzzy set. In case of linear membership function weighted arithmetic mean, weighted quadratic mean, geometric mean is used to find compromise solution. Almost everywhere we have found that the compromise solution are fairly close to optimal solution when the problem is solved as single objective function. newlineIn Chapter 4 solution procedure for multi objective linear transportation is given using fuzzy membership function. In Chapter 5 introduction to fractional programming is made and solutions of multi objective linear fractional programming problems are discussed.Chapter 6 deals with solutions of multi objective linear fractional transportation problem. In this topic fractional objective functions are approximated as linear functions using Taylor s theorem and then applied method to solve the multi objective linear transportation problem discussed earlier. Chapter 7 focus on solution to fractional transportation problem with fu
Pagination: 210p
Appears in Departments:School of Mathematical Sciences

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01_title.pdfAttached File91.43 kBAdobe PDFView/Open
02_certificate.pdf85.11 kBAdobe PDFView/Open
03_abstract.pdf183.79 kBAdobe PDFView/Open
04_declaration.pdf260.16 kBAdobe PDFView/Open
05_acknowledgement.pdf83.54 kBAdobe PDFView/Open
06_content.pdf249.02 kBAdobe PDFView/Open
07_abbrevations.pdf90.8 kBAdobe PDFView/Open
08_chapter 1.pdf494.16 kBAdobe PDFView/Open
09_chapter 2.pdf107.51 kBAdobe PDFView/Open
10_chapter 3.pdf607.93 kBAdobe PDFView/Open
11_chapter 4.pdf815.13 kBAdobe PDFView/Open
12_chapter 5.pdf775.54 kBAdobe PDFView/Open
13_chapter 6.pdf829.43 kBAdobe PDFView/Open
14_chapter 7.pdf818.03 kBAdobe PDFView/Open
15_chapter 8.pdf682.49 kBAdobe PDFView/Open
16_chapter 9.pdf556.06 kBAdobe PDFView/Open
17_bibliography.pdf375.3 kBAdobe PDFView/Open

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