%0 Journal Article %T Approximate Analysis of an M/M/1 Markovian Queue Using Unit Step Function %A Dhanesh Garg %J Open Access Library Journal %V 1 %N 7 %P 1-5 %@ 2333-9721 %D 2014 %I Open Access Library %R 10.4236/oalib.1100973 %X 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. %K Transient analysis %K Unit step function %K Queueing system. %U http://www.oalib.com/paper/3113633