The University of Southampton
University of Southampton Institutional Repository

Modelling of containerized air cargo forwarding problems under uncertainty

Wu, Y. (2011) Modelling of containerized air cargo forwarding problems under uncertainty Journal of the Operational Research Society, 62, (7), pp. 1211-1226. (doi:10.1057/jors.2010.84).

Record type: Article


This paper examines air container renting and cargo loading problems experienced by freight forwarding companies. Containers have to be booked in advance, in order to obtain discounted rental rates from airlines; renting or returning containers on the day of shipping will incur a heavy penalty. We first propose a mixed-integer model for the certain problem, in which shipment information is known with certainty, when booking. We then present a two-stage recourse model to handle the uncertainty problem, in which accurate shipment information cannot be obtained when booking, and all cargoes have to be shipped without delay. The first-stage decision is made at the booking stage, to book specific numbers of different types of containers. The second-stage decision is made on the day of shipping, depending on the extent to which the uncertainty has been realized. The decisions include number of additional containers of different types that are required to be rented, or the number of containers to be returned, under the scenario that might occur on the day of shipping. We then extend the recourse model into a robust model for dealing with the situation in which cargoes are allowed to be shipped later. The robust model provides a quantitative method to measure the trade-off between risk and cost. A series of experiments demonstrate the effectiveness of the robust model in dealing with risk and uncertainty.

Full text not available from this repository.

More information

Published date: 7 July 2011
Keywords: air container, cargo forwarding, containerization, globalization, robust optimization, stochastic programming
Organisations: Management


Local EPrints ID: 51373
ISSN: 0160-5682
PURE UUID: 3530da92-7e56-4a44-99e3-252920e2425c

Catalogue record

Date deposited: 23 Jun 2008
Last modified: 17 Jul 2017 14:48

Export record



Author: Y. Wu

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.