Performance Analysis of State-Dependent M/Hk/1/L Queue with Balking

In this paper, we present an analysis for an queue with balking and state-dependent service. By using the block matrix solution, we first deduce the matrix form iterative formula of the steady-state probability. We also derive some performance measures of the system. Based on these performance analyses, we develop a cost model to determine numerically the system’s optimal cost and critical value. Finally, we perform a sensitivity analysis through numerical experiments.