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Integrating Goal Programming , Taylor Series , Kuhn-Tucker Conditions , and Penalty Function Approaches to Solve Linear Fractional Bi-level Programming Problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Saraj, Mansour |
| Copyright Year | 2015 |
| Abstract | In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent to fractional objective functions. Then on using the Kuhn-Tucker optimality condition of the lower level problem, we transform the linear bilevel programming problem into a corresponding single level programming. The complementary and slackness condition of the lower level problem is appended to the upper level objective with a penalty, that can be reduce to a single objective function. In the other words, suitable transformations can be applied to formulate FBLP problems. Finally a numerical example is given to illustrate the complexity of the procedure to the solution. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://ijmsi.ir/article-1-281-fa.pdf |
| Alternate Webpage(s) | http://www.sid.ir/en/VEWSSID/J_pdf/117820150101.pdf |
| Alternate Webpage(s) | http://ijmsi.ir/article-1-281-fa.pdf |
| Alternate Webpage(s) | http://ijmsi.ir/browse.php?a_id=281&ftxt=1&sid=1&slc_lang=en |
| Alternate Webpage(s) | http://ijmsi.ir/article-1-281-en.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
