Abstract
This paper aims to derive the analytical solution of the truncated single-channel queue: M/D/1 at the steady-state by adding the concept of encouraging arrivals. Using the iterative method and the probability generating function method obtain the probability that there are n customers in the system, the possibility of a vacuous system, and some performance effectiveness measures. Some numerical values are given for the additional concept to show the effect of the (arrival rate, encouraging arrivals) on the model so that the companies implementing this model work to reduce the harmful ones.