THE EFFECT OF POSTPONABLE INTERRUPTIONS ON A M/G/1 SYSTEM WITH IMPATIENT CUSTOMERS

This paper considers a waiting line system where units become impatient after having waited for certain time and leave the queue (renege) without being serviced. The servicing of the units is subject to interruption by the arrival of an "interruption " possessing a priority for service over the ordinary units, head-of-the-line priority discipline being prevalent. The busy period process is investigated first, making use of the supplementary variable method. Later, the general process is studied in terms of the busy period process and renewal distributions. Lastly, the ergodic properties of the general process are examined by appealing to some results of renewal theory.