Problem 47618. Create initial basic feasible solution for transportation problems - North-West Corner Method

Created by Mehmet OZC

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"705\"/><w:attr w:name=\"width\" w:val=\"1615\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Select the north-west corner of the matrix and assign as many units as possible (min(50,20))</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>In this case total transportation cost is = 20*5 + 30*1 + 5*2 + 35*4 + 5*1 + 85*6 = 795</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You can watch this video for further information </w:t></w:r><w:hyperlink w:docLocation=\"https://www.youtube.com/watch?v=Q31jKiEXxdc\"><w:r><w:t>Transportation problems</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>You should return assignment matrix and total cost</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","target":"/media/image1.png","relationshipId":"rId1"}]},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 551.25px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 275.625px; transform-origin: 407px 275.625px; vertical-align: baseline; "><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div><div style="block-size: 341.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 170.625px; text-align: left; transform-origin: 384px 170.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: baseline" src="data:image/png;base64,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" data-image-state="image-loaded"></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Select the north-west corner of the matrix and assign as many units as possible (min(50,20))</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">In this case total transportation cost is = 20*5 + 30*1 + 5*2 + 35*4 + 5*1 + 85*6 = 795</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">You can watch this video for further information </span></span><a target='_blank' href = "https://www.youtube.com/watch?v=Q31jKiEXxdc"><span style=""><span style="">Transportation problems</span></span></a></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">You should return assignment matrix and total cost</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div></div></div>

Solve

Solution Stats

39 Solutions
21 Solvers

Last Solution submitted on Jan 07, 2023

Last 200 Solutions

Problem Comments

Problem Recent Solvers21

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 47618. Create initial basic feasible solution for transportation problems - North-West Corner Method

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers21

Suggested Problems

More from this Author92

Problem Tags

Community Treasure Hunt

Problem 47618. Create initial basic feasible solution for transportation problems - North-West Corner Method

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers21

Suggested Problems

More from this Author92

Problem Tags

Community Treasure Hunt

Players