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- Publisher Website: 10.1080/0020739900210113
- Scopus: eid_2-s2.0-84946293259
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Article: On the existence of positive non-extreme point solutions of linear programming
| Title | On the existence of positive non-extreme point solutions of linear programming |
|---|---|
| Authors | |
| Issue Date | 1990 |
| Publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/0020739X.asp |
| Citation | International Journal of Mathematical Education in Science and Technology, 1990, v. 21 n. 1, p. 99-103 How to Cite? |
| Abstract | The fundamental theorem of linear programming guarantees the existence of an extreme point solution provided there is some (interior point or otherwise) feasible solution. The converse is certainly not true. This paper derives necessary and sufficient conditions for the existence of positive non‐extremal (interior) solutions within the feasible region of a linear program. |
| Persistent Identifier | http://hdl.handle.net/10722/75209 |
| ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.634 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chu, SCK | en_HK |
| dc.date.accessioned | 2010-09-06T07:08:58Z | - |
| dc.date.available | 2010-09-06T07:08:58Z | - |
| dc.date.issued | 1990 | en_HK |
| dc.identifier.citation | International Journal of Mathematical Education in Science and Technology, 1990, v. 21 n. 1, p. 99-103 | en_HK |
| dc.identifier.issn | 0020-739X | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/75209 | - |
| dc.description.abstract | The fundamental theorem of linear programming guarantees the existence of an extreme point solution provided there is some (interior point or otherwise) feasible solution. The converse is certainly not true. This paper derives necessary and sufficient conditions for the existence of positive non‐extremal (interior) solutions within the feasible region of a linear program. | - |
| dc.language | eng | en_HK |
| dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/0020739X.asp | en_HK |
| dc.relation.ispartof | International Journal of Mathematical Education in Science and Technology | en_HK |
| dc.title | On the existence of positive non-extreme point solutions of linear programming | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-739X&volume=21 No1&spage=99&epage=103&date=1990&atitle=On+the+existence+of+positive+non-extreme+point+solutions+of+linear+programming | en_HK |
| dc.identifier.email | Chu, SCK: schu@hku.hk | en_HK |
| dc.identifier.authority | Chu, SCK=rp00685 | en_HK |
| dc.identifier.doi | 10.1080/0020739900210113 | - |
| dc.identifier.scopus | eid_2-s2.0-84946293259 | - |
| dc.identifier.hkuros | 35528 | en_HK |
| dc.identifier.issnl | 0020-739X | - |