A common assumption for optimization problems is that the availability of a component is considered as a constant amount in the interval (1, 0). However, availability of a component can change with respect to other factors such as human factors, storage facilities and other environmental factors. So, it seems reasonable to consider it as an imprecise positive number with interval values. In this regard, if the lifetime distribution of a component is determinate, then component’s availability will be deterministicfor the mission time. But, since lifetime distribution is not knownin design phase, values of availability are represented as intervals. In this study, we implement distance perimeter to determine reliability and availability indexes. First, the various models of allocating surplus components have been studied by evaluating available documents and records, and then the latest models are introduced. After identifying the basic model, surveys have been executed in the field of distance perimeter for the best model. Applications of these studies are conceived in the context of availability and also the related conventional methodologies. An integration of availability concepts based on the latest results and findings are also represented. Finally, an appropriate meta-heuristic method for multi-objective models is consideredby investigating the current solution methods; and results and analysis are represented.