Markov renewal queues of M/M(a,d)/l/(b,n) system-part i

Abstract

This paper discusses a general bulk service queue which falls into the Markov renewal class. Applying an analysis similar to the one by Hunter (1983) for M/M1/N type of feedback queues, certain properties of discrete and continuous time queue length processe are studied here. The results and formulas are then applied to a numerical illustration.

Keywords:

• Markov Renewal Process
• Semi-markov Process
• Queue Lengths
• Stationary Distributions