Task Route generation method in shipping. Hi, This task contains several aspects, but I only need the steps to solve them. Description: Determine the optimal fleet size and mix of vessels, as well as the weekly routes that the vessels should take on a weekly basis. Set up an Arc flow model, with variables Xvij for the planning problem below. Use the Route Generation Method (RGM) for problem solving and a set Partitioning-based model with variables Xvr to solve the case, and you should solve this with mathematical formula which describes the problem, and set up a list of pros and cons for RGM in this exercise. The task. A coal producer with one production facility in Italy wants to determine the optimal fleet size and mix of autonomous vessels to build, together with the corresponding weekly routes for the chosen vessels for distributing coal from the production facility to a given set of coal power crafts in Figure 1 - 7. It is known the distances between each of the coal producer and each of the coal power craft. As a result, Cvm can be translated into a weekly time charter cost for each of the V autonomous vessels, each of the vessels with given v has an assigned building cost. Each vessel has a specific capacity in tons (Qv) and a specific fuel cost per hour at its service speed (C_fuel). The sailing times (in hours) Tijv for a vessel v between nodes I and j, where nodes I and j can refer to either a coal power plant or a production facility, can vary depending on the service speeds of the various vessels. Our assumption is that the ships are traveling at their service speeds. Because each vessel can only make one trip from the production facility in a given week, one must pay for the entire week's time charter rate regardless of how much time is actually spent on the vessel. Once a week, every coal power crafts must be serviced, and each coal power plant requires fish feed (in tons) for each week. At node I the loading/unloading service time is Ti (assumed to be independent of vessel type).

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