it is as following :
A capacitated lot sizing problem with :
-multi item
-multi machine
-minimum inventory constraints
-changeover times between items
-It's a big bucket problem, the horizon is 18 months and periods are months
Can you please give me insights about how to solve it ( without any solver only oriented programming ), knowing that it is NP hard and I have very large instances with 18 periods, up to 5000 items and 20 machines.
Thank you very much