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| Author: | Hansen, P. Huge, J. |
| Title: | Implicit treatment of "zero or range" constraints in a model for minimum cost foundry alloys. |
| Journal: | Management Science
1989 : MAR, VOL. 35:3, p. 367-371 |
| Index terms: | LINEAR PROGRAMMING COST CONTROL MIXED INTEGER PROGRAMMING FOUNDRY INDUSTRY |
| Language: | eng |
| Abstract: | A major problem in foundries is to select scrap alloys and pure metals in order to produce alloy of specified composition at minimum cost. It is shown that such problems, of realistic size, can be solved optimally by mixed-integer programming. Constraints are that the content of the alloys in various metals must be within given ranges and that the selected amount of each scrap alloy must be either zero or within a given range. The latter zero or range constraints can be treated implicitly in a similar way as lower and upper bounds are treated implicitly in bounded variables linear programming. |
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