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Many connection-oriented networks, such as low Earth orbit satellite (LEOS) systems and networks providing multipriority service using advance reservations, have capacities which vary over time. Connection admission control (CAC) policies which only use current capacity information may lead to intolerable dropping of admitted connections whenever network capacity decreases. We present the admission limit curve (ALC) for capacity-varying networks with random capacity change times. We prove thedoi:10.1109/90.929856 fatcat:ngm3svanlndmxnuat6rhotsshm