A queueing system with Erlang-distributed replenishment time, multiple vacations and continuous-type inventory
Linhong Li,
Liwei Liu,
Wei Xu
Abstract:In this paper, we consider a continuous-type inventory system with positive service time, Erlang distributed leading time, and multiple vacations. The inventory policy is (r, Q). Once the inventory level is less than r, the manager sends a replenishment request to the external supplier. After a replenishment time obeying the Erlang distribution, a fixed replenishment quantity Q arrives in the system. If, during this period, the inventory is depleted, the server takes multiple vacations. We assume that the lost… Show more
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