Abstract

The inland transportation takes a significant portion of the total cost that arises from intermodal transportation. In addition, there are many parties (shipping lines, haulage companies, customers) who share this operation as well as many restrictions that increase the complexity of this problem and make it NP-hard. Therefore, it is important to create an efficient strategy to manage this process in a way to ensure all parties are satisfied. This paper investigates the pairing of containers/orders in drayage transportation from the perspective of delivering paired containers on 40-ft truck and/or individual containers on 20-ft truck, between a single port and a list of customer locations. An assignment mixed integer linear programming model is formulated, which solves the problem of how to combine orders in delivery to save the total transportation cost when orders with both single and multiple destinations exist. In opposition to the traditional models relying on the vehicle routing problem with simultaneous pickups and deliveries and time windows formulation, this model falls into the assignment problem category which is more efficient to solve on large size instances. Another merit for the proposed model is that it can be implemented on different variants of the container drayage problem: import only, import–inland and import–inland–export. Results show that in all cases the pairing of containers yields less cost compared to the individual delivery and decreases empty tours. The proposed model can be solved to optimality efficiently (within half hour) for over 300 orders.

Highlights

  • Intermodal freight transportation is referred to as moving goods or products by the usage of containers from shippers to consignees by different types of transportation modes, such as vessels, trains and trucks

  • This paper investigates the pairing of containers/orders in drayage transportation from the perspective of delivering paired containers on 40-ft truck and/or individual containers on 20-ft truck, between a single port and a list of customer locations

  • We firstly propose an optimization model for the pairing of containers in drayage transportation (PCDT)

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Summary

Introduction

Intermodal freight transportation is referred to as moving goods or products by the usage of containers from shippers to consignees by different types of transportation modes, such as vessels, trains and trucks. Vidovicet al (2012) proposed an alternative way which formulates the trip combination problem as a multiple assignment model This formula tries to merge customer requests (import and export) together to form full delivery routes, and the optimal decision directly shows which container should be paired with which other for transportation. The aim of the model is to minimize total distance travelled by all vehicles used and the penalty paid for potential overtime works by the truck driver Major contributions of this initial model are twofold: first it allows one container to have more than one receivers; second the model is more efficient to solve than the traditional models based on pickup and delivery in vehicle routing networks and allow more accurate solution for large problems with more than 300 containers.

Literature review
Problem statement and optimization model
Parameters and definitions
H1: H2: M0:
Decision variables
Mathematical model
Xi2P2 d2M0 þ
Practical variant
Example 1: import only
Example 2: import–inland transportation
Example 3: import–inland–export transportation
Real implementations
Findings
Conclusions

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