Hi,

let's go on with the example from https://www.linkedin.com/pulse/what-optimization-how-can-help-you-do-more-less-zoo-buses-fleischer/

and let's see how easy moving to use semiinteger and semicontinuous decision variables with docplex.

Semiinteger means for example for a quantity of buses that it's either 0 or within a given range.

In our bus example, suppose we cannot rent less than 4 buses for any given size.

We then write:

from docplex.mp.model import Model

# original model

mdl = Model(name='buses')
nbbus40 = mdl.semiinteger_var(4,20,name='nbBus40')
nbbus30 = mdl.semiinteger_var(4,20,name='nbBus30')
mdl.add_constraint(nbbus40*40 + nbbus30*30 >= 300, 'kids')
mdl.minimize(nbbus40*500 + nbbus30*400)

mdl.solve()

for v in mdl.iter_semiinteger_vars():
    print(v," = ",v.solution_value)

which gives

nbBus40  =  4.0
nbBus30  =  5.0

NB:

Same for semicontinuous with regards to continuous decision variables.

Many other very simple docplex examples at https://www.linkedin.com/pulse/making-optimization-simple-python-alex-fleischer/