It is argued that multivariate chemical mass balance models are, in general, incapable of determining the number and composition of sources of environmental contamination entirely from the data alone; additional identifying information must be obtained from sources external to the data. Determinatio
Some thoughts on generalized Weber location models
β Scribed by M.J Kaiser
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 357 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
The Weber and inverse Weber location problem is defined for a continuous onedimensional convex region in the plane and solved using constructive numerical techniques. It is conjectured that the Weber functional for a continuous one-dimensional convex region is concave. The equivalence between the one-dimensionai inverse Weber model and a polar geometric optimization problem is demonstrated, and an alternative symbolic expression for the integral functional is described.
π SIMILAR VOLUMES
The convexity of a minimum sum "inverse Weber" objective functional is demonstrated . Newton's method is then applied using symbolic computation to determine the solution point of the functional .
The use of models in giving meaning to sense data is described. It is shown that models are essential to human understanding, but that there are no uniquely 'best' models. This leads to the discussion of the design of suitable models for engineering use. The role of physical and mathematical models