Optimization and cost allocationin collaborative transportation : potential savings and decreased co2 emissions from optimized collaboration in fuel distribution in Norway
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- Master Thesis 
The purpose of this study is to find potential savings and potential reduction in CO2 emission from an optimized collaboration in distributing fuel in Norway, from fuel depots to gas stations, compared to a non-collaborative fuel distribution. In addition to this the purpose is to make an optimization program in A Mathematical Programming Language (AMPL) for collaborating in distributing fuel in Norway, which can be easily adjusted and expanded regarding input data. The answers to these questions I aim to find in this thesis are in my opinion very interesting these days of increased focus on effectiveness and the problems regarding global warming from CO2 emission. The possible collaborations in this thesis includes the 4 fuel companies Circle K, Shell (ST1), Esso and YX/Uno-X, with their supply points from in total 20 fuel depots to their demand points at gas stations at all cities and places in Norway which is inhabited by 10000 citizens or more. To get answers to these questions I will do several analyses and calculations. I will process data, create and run several analysis programs in AMPL. From the cost results of full collaboration (grand coalition) I will allocate costs to each company in the mathematic cost allocation method Shapley Values. Then I will from methods in cooperative game theory and results from Shapley Values and other results in AMPL find out if the grand coalition is the most beneficial coalition for each company, or if there are smaller coalitions which can be more beneficial. I will then also find the potential reduction in CO2 emission from a optimized collaboration. My findings from the analyses and calculations, given the input data, show that a optimized collaboration in the grand coalition is most beneficial for all the 4 companies and that there is a lot to save for each company from such full collaborative fuel distribution in Norway, compared to non-collaborative distribution. Further my findings, given the input data, show that the potential total decreased CO2 emission from the trucks from full collaboration is considerable.