Order independent loss queues

This paper presents an analysis of generalized Order Independent (OI) loss queues serving customers belonging to different types (classes) where limits are placed on the number of customers of each type that may be present in the system. We prove that such queues satisfy partial balance and we present their stationary distribution. OI loss queues can be used to model blocking systems with simultaneous resource possession with the option of queueing blocked customers. The OI loss queue thus extends previous loss models where customers are rejected when processing resources are not available.