Abstract
This paper proposes an algorithm for optimizing the route in a mixed package-passenger system where taxicab drivers, who transport passengers, are assigned the task of delivering packages. The main aim is to address the shortage of package delivery drivers and to reduce the amount of CO2 emitted by delivery vehicles. The paper also proposes a stable ridesharing matching scheme, which reduces fares for taxicab passengers. Furthermore, the problem is formulated as a mixed integer linear programming problem to identify the optimal route and driver task assignments. A distributed method based on Lagrangian relaxation is proposed to reduce the computational effort. The paper concludes by demonstrating the effectiveness of the proposed algorithm through numerical simulations.
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