Optimal fleet scheduling integer programming

We make use of integer programming to model the scheduling of a fleet of vessels based on a predetermined operational cycle. The model consists of an objective function to be minimized and a large number of constraints that replicates the number of vessels, the operational cycle and the ambition levels. The objective function is zero when the selected ambition level is met. We use the software Mathematica to model the integer programming problem and to execute the corresponding code. The outcomes are exact and optimal. To validate the results, we compare them to those of a simulation written in the software MathCad. The results from Mathematica are found consistent with those from MathCad.