Explicit expressions for moments of waiting times in Poisson driven deterministic two-node tandem queues with blocking.

There has been no analytic expression for a multi-node queue even with constant processing times because of a correlation caused by blocking between nodes. This study introduces explicit expressions for moments and tail probability of stationary waiting times in a Poisson-driven deterministic 2-node tandem queue with blocking. Unlike the normal queueing theory, we derive these expressions from the previous results based on the max-plus algebraic approach. Two blocking policies are considered: blocking before service (BBS) and blocking after service (BAS).