*NAME: FURNACE
*ROWS: 18
*COLUMNS: 18
*NONZERO: 90
*OPT SOLN: 2141.923551
*SOURCE: Linear Programming--Electric-Arc Furnace Steelmaking
* Data Processing Application. N.Y.: IBM Corp.
*APPLICATION: Electric-Arc Furnace Steelmaking
*COMMENTS: fixed MPS format
* encoded by Andrew Makhorin <mao@gnu.org>
*
NAME FURNACE
ROWS
N VALUE $ Price per pound (of initial charge materials)
E CR $ Chromium
E MN $ Manganese
E SI $ Silicon
E C $ Carbon
E FE $ Iron
E TOTCHG $ Total elements charged
E CRSLAG $ Chromium-oxidized-to-slag relationship
E TOTCRS $ Total modified chromium specification constraint
E MN/CR $ Total manganese specification constraint
E FESLAG $ Iron-oxidized-to-slag relationship
G ENDFE $ Total iron specification constraint
L CSPEC $ Total carbon specification constraint
E BASE $ Basicity relationship
L SISPEC $ Total silicon specification constraint
G TOTAL $ Total end metal
L TOTRS4 $ Inventory limitation on 430 grade scrap
L TOTRCF $ Inventory limitation on low-carbon ferrochrome
COLUMNS
* Steel scrap
STSCP VALUE .02
CR 0
MN .01
SI .002
C .006
FE .982
* 430 grade scrap
SP430 VALUE .075
CR .16
MN .01
SI .0095
C .0012
FE .8143
TOTRS4 1
* High-carbon ferrochrome
HCFCR VALUE .27
CR .556
MN 0
SI .02
C .08
FE .334
* Low-carbon ferrochrome
LCFCR VALUE .40
CR .65
MN 0
SI .01
C .0009
FE .3391
TOTRCF 1
* Chromium initially charged
CRIT VALUE 0
CR -1
TOTCHG 1
CRSLAG 1
* Manganese initially charged
MNIT VALUE 0
MN -1
TOTCHG 1
CRSLAG 1
MN/CR .98
* Silicon initially charged
SIIT VALUE 0
SI -1
TOTCHG 1
CSPEC -5
BASE 2.14
TOTAL -1
* Carbon initially charged
CEIT VALUE 0
C -1
TOTCHG 1
TOTAL -1
* Iron initially charged
FEIT VALUE 0
FE -1
TOTCHG 1
ENDFE 1
* Total initial charge weight
TICW VALUE 0
TOTCHG -1
CRSLAG -.074
TOTCRS .074
FESLAG .075
CSPEC 5
TOTAL 1
* Modified chromium in the slag
ISCR VALUE 0
CRSLAG -1
TOTCRS .95
FESLAG -1
CSPEC -.25
SISPEC -.395
TOTAL -.05
* Chrome silicide additive at refining stage
CRSI VALUE .27
TOTCRS .39
ENDFE .18
BASE 2.7606
SISPEC .43
TOTAL .57
* 430 grade scrap at refining stage
RS430 VALUE .075
TOTCRS .17
MN/CR .01
ENDFE .8143
CSPEC 12
SISPEC .0095
TOTAL 1
TOTRS4 1
* Low-carbon ferrochrome at refining stage
RCFCR VALUE .40
TOTCRS .65
ENDFE .3391
CSPEC 9
SISPEC .01
TOTAL 1
TOTRCF 1
* Iron in the slag
ISFE VALUE 0
FESLAG -1
ENDFE -.05
CSPEC -.25
SISPEC -.238
TOTAL -.05
* Lime at refining stage
LIME VALUE .01
BASE -2
* Low-carbon ferrochrome at finishing stage
FCFCR VALUE .40
TOTCRS .65
ENDFE .3391
CSPEC 9
SISPEC .01
TOTAL 1
TOTRCF 1
* Slack in the chromium and manganese specifications
SIS VALUE 0
TOTCRS 1
MN/CR 1
RHS
TOTCRS 3400
MN/CR 200
ENDFE 16200
CSPEC 100000
SISPEC 200
TOTAL 20000
TOTRS4 2000
TOTRCF 2000
BOUNDS
UP HCFCR 2000
ENDATA
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