1991/01/01 by Walter Böhm, Böhm, Walter, Sri Gopal Mohanty +1
Business, Management and Accounting · Decision Sciences · #Advanced Queuing Theory Analysis #Simulation Techniques and Applications
paper · doi:10.57938/3bba0354-c41d-4b0d-8928-3183a2cb564b
The n-step transition probabilities of a random walk with two barriers, each being either reflecting or absorbing are considered on the basis of a simple renewal argument. The relation of these walks to queueing problems is pointed out and the distributions of the queue length in the finite capacity case, the same during a busy period and of the maximum queue length are derived for discrete time models. By taking the limit the solutions of continuous time models are derived, verifying some known results. (author's abstract)