This paper deals with the problem of time shift failure diagnosis in a remanufacturing system when an equipment is late to ensure its functionality. So, the detection and localization of time shift failures must be done as soon as possible to avoid a degraded remanufacturing flow. This paper starts with a description of our modeling methodology of a remanufacturing line as a Timed Event Graph (TEG). Our approach for diagnosis (detection and localization) is an algorithmic approach compared to other related works which use an algebraic approach base on (max,+) algebra. Firstly, we propose an event-driven simulator for TEG which gives us the faultless behavior of the system and allows to simulate the TEG with some time shift failure injection. Secondly, we define several algorithms which take as input timed observations of the functioning of a remanufacturing system and allow to detect and localize time shift failures if there are present. A case study illustrates the feasibility of our approach.