  Surveys have indicated that the remanufacturing industry is concerned about
the necessity of agile and prioritized core sorting due to its potential
benefits to optimal core inventory and condition assessment, both at equipment
and component levels. As such, core sorting holds a pivotal role in generalized
remanufacturing operations, however, extreme value core arrivals, its
stochastic nature and resulting sorting issues warrant targeted modelling and
analysis. This paper is devoted to triage as an agile and quality-based sorting
strategy in extreme value scenarios, which can be utilized as a complementary
core sorting strategy. A statistical model of extreme core arrivals is
developed based on Extreme Value (EV) theory and related Generalized Extreme
Value (GEV) and Fr\'echet (Fisher-Tippett type-II) distributions. The model is
applied to extreme arrivals of valves in an industrial valve repair shop in
order to formulate extreme arrival sorting strategies. Using a large sample
size, distribution parameters are estimated and the stochastic behaviour of the
extreme valve arrivals is evaluated and verified. A generic analogy between
medical triage and remanufacturing triage is discussed, because triage can be
used to address extreme core arrivals, associated statistical distributions,
and their effect on core condition assessment in order to enhance management of
unpredictable consequences of extreme core arrivals.
