This paper presents an integration of an efficient path choice model that considers the drivers' perception and effects of various network related attributes (such as tolled/un-tolled road, restrictions for trucks), and an exact solution approach for the Vehicle Routing and scheduling with Soft Time Windows (VRPSTW) based on the Dantzig-Wolfe decomposition (commonly known as the column generation). It was found that the average cost overrun under such integrated planning approach is significantly less as compared to the planning approach based on commonly used pure shortest path algorithms without considering the network attributes or the truck drivers' perception.
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Qureshi et al. (2010) studied this question.
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