{"title":"Minimization of Transportation Cost Problems","authors":"S. S. Kpanja, Atama Alhamdu Madaki","doi":"10.7176/mtm/9-3-03","DOIUrl":null,"url":null,"abstract":"The research is financed by Tertiary Education Trust Fund (TETFund). No. 6 Zambezi Crescent, Maitama, Abuja, Nigeria. Abstract This paper present seven initial methods of solving transportation problems. These methods were compared on a balanced transportation model of Dangote’s Cement Factories and the result shows that the Vogel’s method yields the best starting solution and gives an initial solution as the optimal with zero number of iteration. The North-West Corner Method although fast in obtaining the initial solution is not very efficient and accurate enough in finding initial solution as it pays no attention to the unit cost particularly as the solution is far from the optional. The objective value for the initial basic feasible solutions obtained from Russel’s and Row-Minimum Method are in perfect agreement. Keywords: Linear Programming, Transportation, Initial Solution, Minimization. DOI : 10.7176/MTM/9-3-03 Publication date : March 31 st 2019","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"418 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Theory and Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7176/mtm/9-3-03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The research is financed by Tertiary Education Trust Fund (TETFund). No. 6 Zambezi Crescent, Maitama, Abuja, Nigeria. Abstract This paper present seven initial methods of solving transportation problems. These methods were compared on a balanced transportation model of Dangote’s Cement Factories and the result shows that the Vogel’s method yields the best starting solution and gives an initial solution as the optimal with zero number of iteration. The North-West Corner Method although fast in obtaining the initial solution is not very efficient and accurate enough in finding initial solution as it pays no attention to the unit cost particularly as the solution is far from the optional. The objective value for the initial basic feasible solutions obtained from Russel’s and Row-Minimum Method are in perfect agreement. Keywords: Linear Programming, Transportation, Initial Solution, Minimization. DOI : 10.7176/MTM/9-3-03 Publication date : March 31 st 2019