Abstract:

 An M／Hk／1 queuing model was considered with balking, state-dependent and multiple vacations. Using the quasi-birth-and-death process method, the equilibrium condition of the system and the matrix-geometric solution of the steady-state probability vectors were derived. Some performance measures of the system and numerical results were also obtained.
 

Key words: queuing system; vacation; balking; state-dependent; steady-state probability