Minimization of Transportation Cost Problems

S. S. Kpanja, Atama Alhamdu Madaki
{"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
最小化运输成本问题
这项研究由高等教育信托基金(TETFund)资助。6号赞比西新月,迈塔马,阿布贾,尼日利亚。摘要:本文提出了解决交通问题的七种初步方法。在Dangote水泥厂平衡运输模型上进行了比较,结果表明,Vogel方法得到了最佳起始解,并给出了迭代次数为零的最优初始解。西北角法虽然获得初始解很快,但在寻找初始解时不够高效和准确,因为它不注意单位成本,特别是当解远离可选时。用Russel法和行最小法求得的初始基本可行解的目标值是完全一致的。关键词:线性规划,运输,初始解,最小化。出版日期:2019年3月31日
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信