Decision Optimization

There is a staticLex objective function for CP Optimizer, the semantic is not exactly the same as the one for CPLEX (there is no weights, nor individual tolerances).  
The documentation is here : https://www.ibm.com/docs/en/icos/22.1.2?topic=functions-staticlex
The truckfleet example in OPL and other languages shows a usage.

Philippe

Small example at https://github.com/AlexFleischerParis/zoodocplex/blob/master/zoocpomultiobjective.py

from docplex.cp.model import CpoModel
from docplex.cp.model import CpoParameters

mdl = CpoModel(name='buses')

param=CpoParameters()
param.OptimalityTolerance=0.01
mdl.set_parameters(param)

nbbus50 = mdl.integer_var(0,10,name='nbBus50')
nbbus40 = mdl.integer_var(0,10,name='nbBus40')
nbbus30 = mdl.integer_var(0,10,name='nbBus30')
cost = mdl.integer_var(0,10000,name='cost')
co2emission = mdl.integer_var(0,10000,name='co2emission')

mdl.add(nbbus50*50+nbbus40*40 + nbbus30*30 >= 200)
mdl.add(co2emission==nbbus50*10+nbbus40*11+nbbus30*12)
mdl.add(cost==nbbus40*500 + nbbus30*400+nbbus50*625)
mdl.add(mdl.minimize_static_lex([cost,co2emission]))
msol=mdl.solve()

print(msol[nbbus50]," buses 50 seats") 
print(msol[nbbus40]," buses 40 seats")
print(msol[nbbus30]," buses 30 seats") 
print("cost = ",msol[cost])
print("co2 emission = ",msol[co2emission]/10)