This article identifies and analyses quantitative models for the optimisation of supply chain operations strategies by considering environmental sustainability conditions and circular economy. Through a literature review, the modelling and solution approaches, development tools, variables, parameters, objectives and constraints of the found models are identified. Supply chain levels are considered for the analysis. The main findings indicate that the most used optimisation models are those that employ mixed integer linear programming. The objectives of the functions that most align with sustainability are: cost minimisation, CO2 emissions reduction and transport optimisation. Finally, the most widespread operational strategies, the main benefits and limitations of each model are identified.