Abstract:
In this thesis, an infinite capacity single-server Markovian queue with customer balking,
reneging and interjection was investigated. The steady-state analysis of the model was
performed by the Markov process method. The governing steady-state difference-differential
Chapman-Kolmogorov equations of the model were derived. Steady-state probabilities in
explicit closed form expressions were obtained. This has been carried out by using the
recursive method. Once we had the steady-state probabilities different performance measures
of the system were obtained and a cost model was formulated. Then different performance
measure values of the system were computed and analyzed using tables and graphs for better
elaboration. All the computations were performed using MATLAB software by writing the
MATLAB codes. The present investigation can be extended to customer’s behaviour balking,
reneging and interjection in combined form in more general queueing systems such as M/G/1,
G/M/1 or G/G/1, which are left for future research.
