An approach to the optimal design of networks
โ Scribed by B.A. Murtagh
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 911 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0009-2509
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โฆ Synopsis
The design problem considered in this paper is the optimal distribution of pressure drop over a network in which flow-rates are specified, but pipe diameters may vary. By using elements of the duality theory of nonlinear programming, the problem is cast in a form which is computationally attractive. The approach presented is of general applicability to networks in which the equations of flow are nonlinear.
๐ SIMILAR VOLUMES
The problem of selecting the best pattern of pipe diameters of an irrigation network has long been given considerable attention by engineers when designing hydraulic works. The classical optimization techniques, which have been proposed until now, are the following: (1) the linear programming method
Mathematical results are derived, which enable one tojnd a vector of parameters k" such that (PI@, k")c H) n (P2(ko) = 0), where P,(s, k) is a polynomial in s and in the components of k, P, (k) is a polynomial in the components of k, and H is the set of Hurwitz polynomials. The algorithm is based o