Author(s)

Dhanesh Garg

Department of Mathematics, Maharishi Markandeshwar University, Ambala, India.

This study analyzes a single server queueing model with a time-dependent arrival rate and service rate is constant. In this model, the incoming arrivals are Poisson stream; service time is exponentially distributed and the first-come first-served queueing discipline. We obtain an explicit expression for the state probability distribution with time-dependent arrival rate using unit step function.

Transient Analysis, Unit Step Function, Queueing System

Garg, D. (2014) Approximate Analysis of an M/M/1 Markovian Queue Using Unit Step Function. Open Access Library Journal, 1, 1-5. doi: 10.4236/oalib.1100973.