This article discusses the capabilities and the limitations of three validated models: lumped, zonal and Computational Fluid Dynamics (CFD), to solve several technical issues related to food transport in an insulated box with a Phase Change Material (PCM). The lumped model predicts the average temperature evolution and is suitable for investigating the effect of box design and operating conditions where the temperature heterogeneity is not the main concern. The zonal model depicts spatial temperature variations but requires some assumptions regarding airflow and heat transfer which are specific for a given product arrangement and PCM location. The CFD model gives the most extensive information on physical phenomena and temperature variations but involves a high computational cost that is inevitable. This study shows the possibility of combining these models with a quality model. Finally, the abilities/limitations of each model to solve certain practical issues are discussed.