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# Operational Planning Problems in Intermodal Freight Transportation

## Jenny Nossak

This book addresses logistics problems (e.g., routing and partitioning problems) that are encountered in intermodal freight transportation. The reader is given an overview of the relevant literature, as well as of different mathematical formulations. Moreover, algorithmic solution approaches are suggested which are specially designed for problems that arise in the context of intermodal freight transportation, but can be applied to other areas as well.

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# Chapter 3 1-Full-Truckload Pickup-and-Delivery Traveling Salesman Problem

## Extract

In this chapter, we consider a generalization of the traveling salesman prob- lem, namely the one-commodity full-truckload pickup-and-delivery traveling salesman problem as presented in Gendreau et al. (2012). Routes have to be constructed to satisfy customer requests which either involve the pickup or delivery of a single commodity. A vehicle is to be routed such that the supply and the demand of the customers is satisﬁed under the objective to minimize the total distance traveled. The commodities which are collected from the pickup customers can be used to accommodate the demand of the delivery customers. A real-life application arises in the pre- and end-haulage of in- termodal freight transportation. We model this problem as an integer linear and an integer nonlinear programming problem that simultaneously solves a routing and an assignment problem. Exact solution approaches based on the classical and the generalized Benders decomposition are presented to op- timally solve the linear and the nonlinear model, respectively. Finally, we assess the quality of our solution approaches on several computational ex- periments. 50 Chapter 3. 1-FTPDTSP 3.1 Problem Description The problem studied is a generalization of the traveling salesman problem in which the set of customers is divided into pickup and delivery customers and where the former supplies and the latter demands one unit of a single commodity. A vehicle is to be routed such that the supply and the demand of the customers is satisﬁed while minimizing the total distance traveled. We refer to this routing problem as...

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