Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P
Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P
The book Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P was written by author Here you can read free online of Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P a good or bad book?
Where can I read Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P for free?
In our eReader you can find the full English version of the book. Read Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P
In our eReader you can find the full English version of the book. Read Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P
What reading level is Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P book?
To quickly assess the difficulty of the text, read a short excerpt:
□ As a special case of the above theorem, we get the following useful result.
Corollary 3 Let x° e Gx and (y°, 2°) G Fy^. If {x°)'^ z° 1/2. In case the problem (P) has a unique optimal solution x* € S-, ;, we can compute each coordinate of the optimal solution by (3).
Proof: If x^ is integral. Theorem 2(a) implies that x* = [xjj for an x* ^ Sx- So we only consider the case where Xj is not integral. If x^ — [x°J 1/2 > (x°)^z° = c^x° - 6^y°.
Since 6 y° is a lower bound of t;*, by Theorem 2(c), ...there exists x* G 5^ such that i^ = [x^J . If x°- - |_x^J > 1/2, we have Xj — [XjJ > 1/2 >[x)z=cx— by.
Hence, by Theorem 2(b), there exists x' G S^ such that ij = \xj]. □ Theorem 2 gives information about an element of an optimal solution. The next theorem shows a relation between a feasible solution and coordinates of an optimal solution.
Theorem 4 Let x° G Gx, and let v* be the optimal value of (P).
What to read after Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P?
You can find similar books in the "Read Also" column, or choose other free books by Shinji Mizuno to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
□ As a special case of the above theorem, we get the following useful result.
Corollary 3 Let x° e Gx and (y°, 2°) G Fy^. If {x°)'^ z° 1/2. In case the problem (P) has a unique optimal solution x* € S-, ;, we can compute each coordinate of the optimal solution by (3).
Proof: If x^ is integral. Theorem 2(a) implies that x* = [xjj for an x* ^ Sx- So we only consider the case where Xj is not integral. If x^ — [x°J 1/2 > (x°)^z° = c^x° - 6^y°.
Since 6 y° is a lower bound of t;*, by Theorem 2(c), ...there exists x* G 5^ such that i^ = [x^J . If x°- - |_x^J > 1/2, we have Xj — [XjJ > 1/2 >[x)z=cx— by.
Hence, by Theorem 2(b), there exists x' G S^ such that ij = \xj]. □ Theorem 2 gives information about an element of an optimal solution. The next theorem shows a relation between a feasible solution and coordinates of an optimal solution.
Theorem 4 Let x° G Gx, and let v* be the optimal value of (P).
What to read after Determination of Optimal Vertices From Feasible Solutions in Unimodular Linear P?
You can find similar books in the "Read Also" column, or choose other free books by Shinji Mizuno to read onlineMoreLess
Write Review:
Guest
Read Also
8 / 10
User Reviews: