On Best Corrected Mixture Problems in Metallurgy: A Case Study
| Autor: | M. E. Ntigura Habingabwa, F. Dubeau |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
050210 logistics & transportation
Mathematical optimization 021103 operations research Article Subject lcsh:Mathematics General Mathematics 05 social sciences Metallurgy 0211 other engineering and technologies General Engineering Minimum weight 02 engineering and technology lcsh:QA1-939 symbols.namesake lcsh:TA1-2040 Simple (abstract algebra) 0502 economics and business symbols Pareto distribution lcsh:Engineering (General). Civil engineering (General) Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2017 (2017) |
| ISSN: | 1563-5147 1024-123X |
| Popis: | We consider three simple mixture problems occurring in metallurgy. The first problem considered is the classic minimum cost mixture problem. For the second problem, we consider finding a correction to a given mixture, a premix, without considering the cost of this premix. We only consider the cost and the weight of the quantity used as a correction. We show that the minimum cost correction does not correspond to the minimum weight correction, and we built the Pareto curve that gives all intermediate solutions between these two extreme solutions. Finally, the third problem is the correction problem for a nonfree premix. The correction is done to obtain a minimum cost corrected mixture. |
| Databáze: | OpenAIRE |
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