Problem name and type, features | Difficulty | Related examples |
H‑1 | Choice of loans | * | |
| calculation of net present value |
H‑2 | Publicity campaign | * | |
| forall-do |
H‑3 | Portfolio selection | ** | h7qportf.mos |
| sets of integers, second formulation with semi-continuous, parameters |
H‑4 | Financing an early retirement scheme | ** | |
| inline if, selection with `|' |
H‑5 | Family budget | ** | |
| formulation of monthly balance constraints including different payment frequencies; as, mod, inline if, selection with `|' |
H‑6 | Choice of expansion projects | ** | capbgt_graph.mos |
| experiment with solutions: solve LP problem explicitly, ``round'' some almost integer variable and re-solve |
H‑7 | Mean variance portfolio selection: Quadratic Programming problem | *** | folioqp_graph.mos |
| parameters, forall-do, min, max, loop over problem solving |
Further explanation of this example:
'Applications of optimization with Xpress-MP', Chapter 13: Economics and finance problems