SCOP Trial Version
Project description
SCOP Trial
SCOP (SOlver for Constraint Programming) trial
Install
pip install scoptrial
How to use
See https://www.logopt.com/scop2/
from scoptrial.scop import *
'''
Example 1 (Assignment Problem):
Three jobs (0,1,2) must be assigned to three workers (A,B,C)
so that each job is assigned to exactly one worker.
The cost matrix is represented by the list of lists
Cost=[[15, 20, 30],
[7, 15, 12],
[25,10,13]],
where rows of the matrix are workers, and columns are jobs.
Find the minimum cost assignment of workers to jobs.
'''
workers=['A','B','C']
Jobs =[0,1,2]
Cost={ ('A',0):15, ('A',1):20, ('A',2):30,
('B',0): 7, ('B',1):15, ('B',2):12,
('C',0):25, ('C',1):10, ('C',2):13 }
m=Model()
x={}
for i in workers:
x[i]=m.addVariable(name=i,domain=Jobs)
xlist=[]
for i in x:
xlist.append(x[i])
con1=Alldiff('AD',xlist,weight='inf')
con2=Linear('linear_constraint',weight=1,rhs=0,direction='<=')
for i in workers:
for j in Jobs:
con2.addTerms(Cost[i,j],x[i],j)
m.addConstraint(con1)
m.addConstraint(con2)
print(m)
m.Params.TimeLimit=1
sol,violated=m.optimize()
if m.Status==0:
print('solution')
for x in sol:
print (x,sol[x])
print ('violated constraint(s)')
for v in violated:
print (v,violated[v])
Model:
number of variables = 3
number of constraints= 2
variable A:['0', '1', '2'] = None
variable B:['0', '1', '2'] = None
variable C:['0', '1', '2'] = None
AD: weight= inf type=alldiff C A B ; :LHS =0
linear_constraint: weight= 1 type=linear 15(A,0) 20(A,1) 30(A,2) 7(B,0) 15(B,1) 12(B,2) 25(C,0) 10(C,1) 13(C,2) <=0 :LHS =0
================ Now solving the problem ================
Status= 127
Output=
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