The objective of this paper is to discuss the existing sectoral and economy wide logistics and supply chain models (mathematical and computational methods), which can be used for the formulation of logistics and supply chain systems and policies. Mathematical models are important tools in a holistic representation of the important components of a logistics and supply chain system and in formulating logistics and supply chain policies to address the underlying issues and choices. Therefore, to examine the issues surrounding a logistics and supply chain system, an understanding the integrated mathematical models of the system can be very useful. These models include sectoral logistics and supply chain models and economy wide models such as general equilibrium models, inputoutput analysis, and optimal control models, among others. Since a critical discussion of the modelling and computational methods in integrated economic and logistics and supply chain systems is lacking in the existing literature, this paper makes an important contribution to the literature.