The objective of the paper, knowing the number of ports and ship fleet, is to optimises maritime
transport routing of a containership, based on demand scheduling to each port of call ,using the expert
system approach with owner utility function (McFadden D. 2000). All that need the operative cost of
ships employed and their technical characteristics. The problem solution will be given, for each ship of
the fleet, by routing of the ships , container movement for each port of call and transport cost. This paper
proposes the use of a methodology based on an expert system computation program with a random utility
function of a shipowner operating in a maritime network mapped by geographical information system
GIS (Catalani M. 2001).