This study's underlying research question is to better understand “how companies identify cost effective, eco-efficient logistics and supply chain networks?” Although existing work and theories provide some insights in practice, only a limited amount of research has focused on “real world examples and cases” to apply and implement sustainable supply chain management in practice. This study is primarily concerned with green logistics management because logistics contribute major carbon emissions while playing an important role in financial performance (i.e. cost management). In this study, we focus on environmental sustainability, especially carbon emissions, to identify eco-efficient solutions for freight transport in logistics network using a case study of Westgate Ports, situated in Melbourne, Australia. While we focus mainly on green logistics and transportation, we take a broader supply chain perspective in discussion of theoretical and practical implications. Since there is no existing comprehensive structured literature concerning sustainability in logistics, we use a multi methodological approach which helps firms to accurately capture and analyse different options in the use of eco-efficient logistics systems. This approach also increases the model's analytical capability and tolerates initial inaccurate estimation of parameters via sensitivity analysis. Depending on the systems under investigation, mathematical modelling and simulation can be applied to further explore the problem in order to support decision makers. The structure of this paper is as follows. Firstly, we review the literature on sustainability performance measurement and its link to green logistics and sustainable supply chains.We then present the multi-methodological approach and illustrate its application using an Australian case. Next, we present and discuss our results. Lastly, we present our discussion and conclusions and suggest the limitations of this study and its implications for further research.