This paper deals with the M/G/1 model with processor-sharing service discipline. Let L*(t,x) denote the number of jobs present at time t whose attained service time is not greater than x,x≥0, and V0(t,z) the sojourn time of a tagged job placed in the system at time t and requiring z units of service. Explicit analytical expressions are obtained for the joint distribution of L*(t,ë) and V0(t,ë) under various initial conditions in terms of the Laplace transform with respect to t. It is shown that for initial conditions of special kind (there is one job or none) the results can be expressed in a closed form.
