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Details van artikel 7 van 11 gevonden artikelen
| Titel: |
Optimization of the Second Order Logarithmic Machining Economics Problem by Extended Geometric Programming Part I—Unconstrained |
| Auteur: |
Hough, Clarence I. Goforth, Ramon E. |
| Verschenen in: |
IIE transactions |
| Paginering: | Jaargang 13 (1981) nr. 2 pagina's 151-159 |
| Jaar: |
1981-06-01 |
| Inhoud: |
An extended theory of geometric programming is applied to the machining economics problem utilizing a more accurate tool-life equation that is quadratic in the logarithms of the machining variables. The tool-life equation and corresponding unit cost or productivity functions are classified as quadratic posylognomials (QPL). By comparison, the extended Taylor tool-life equation and corresponding objective functions are classified as posynomials. Necessary conditions for a minimum of the unconstrained cost or productivity functions are given and are related to the R-T (Removal Rate-Tool Life) characteristic curve. Sufficient conditions for a minimum are also given and the problem is characterized in terms of the matrix of the second-order coefficients in the logarithmic tool-life equation. The computational aspects are illustrated with a peripheral end-milling example constructed from an experimentally derived tool-life equation from the literature. The theory and solution techniques for the unconstrained problem in Part I form a basis for solution of the machining economics problem with posynomial constraints in Part II (to appear in the September issue). |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 7 van 11 gevonden artikelen
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