Abstract
We consider an M/M/1 queue with a time dependent arrival rate λ(t) and service rate μ(t). For a special form of the traffic intensity, we obtain an exact, explicit expression for the probability pn(t) that there are n customers at time t. If the service rate is constant (eμ), this corresponds to ρ(t)eλ(t)/μe(b−aμt)−2. We also discuss the heavy traffic diffusion approximation to this model. We evaluate our results numerically.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Paper version not known
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
