Analysis of bulk service queuing system with rework, unreliable server, resuming service and two kinds of multiple vacation

Abstract

In this paper, we discuss a batch arrival bulk service queue with rework for the faculty item, possibility of breakdown, repair, and two kinds of multiple vacation with different threshold policy. The server serves the remaining service after repair completion. This type of queueing model has a lot of applications in the manufacturing/production industries. Performance measures and stability conditions are obtained. Numerical illustrations are made to examine the validity of analytical results.