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Blend: A model for mineral blending Description Several ores are blended to a final product that must
have a certain quality ('grade'). We wish to determine
the quantity of every ore to be used in the blend with
the objective to maximize the total profit (calculated
as sales revenues - raw material cost). Further explanation of this example: 'Xpress Python Reference Manual'
Source Files By clicking on a file name, a preview is opened at the bottom of this page.
Data Files blend2.py
'''*******************************************************
* Python Example Problems *
* *
* file blend2.py *
* Example for the use of the Python language *
* (Blending problem from XPRESS-MP User Guide) *
* *
* Data given in the model. *
* *
* (c) 2018-2024 Fair Isaac Corporation *
*******************************************************'''
import xpress as xp
p = xp.problem()
ROres = range(2)
REV = 125 # Unit revenue of product
MINGRADE = 4 # Min permitted grade of product
MAXGRADE = 5 # Max permitted grade of product
COST = [85.00, 93.00]
AVAIL = [60.00, 45.00]
GRADE = [2.1, 6.3]
x = [p.addVariable(ub=AVAIL[o]) for o in ROres]
# Objective: maximize total profit
p.setObjective(xp.Sum((REV - COST[o]) * x[o] for o in ROres),
sense=xp.maximize)
# Lower and upper bounds on ore quality
p.addConstraint(xp.Sum((GRADE[o] - MINGRADE) * x[o] for o in ROres) >= 0)
p.addConstraint(xp.Sum((MAXGRADE - GRADE[o]) * x[o] for o in ROres) >= 0)
p.optimize()
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| © Copyright 2024 Fair Isaac Corporation. |
