Table 6: Optimization models and results for cement materials in Table 3.

Optimization Models
Model.1:
Model.2:
Model.3:
Model.4:
Model.5:
Model.6:
Model.7:
Subject to (3.1)–(3.4)
,

ModelsOptimal ingredient ratioNotes

Model.1

Model.2

Model.3

Model.4

Model.5

Model.6

Model.7

Where , , , , and are ingredient ratio of the limestone, sandstone, steel slag, shale, and coal ash, respectively.