This paper considers dynamic laws that seek a saddle point of a function of two vector variables, by moving each in the direction of the corresponding partial gradient. This method has old roots in the classical work of Arrow, Hurwicz and Uzawa on convex optimization, and has seen renewed interest w
โฆ LIBER โฆ
Optimization of primal and dual network models of distribution
โ Scribed by G.A. Mohr
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 118 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
A direct `one pass' method of solution of the distribution problem is developed. Basis transformation is then applied to the original constraint equations of this to obtain a quadratic problem which can also be obtained by summation of ยฎnite element matrices in which the element constitutive parameter is respectively the route cost or inverse cost for the dual and primal problems. Using the method of steepest descent extrema for both these are obtained which are equal or close to the exact solutions.
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