Queues with Feedback for Time-Sharing Computer System Analysis

A time-sharing computer system brings the man with a problem much closer to the computer power he needs. The priority processing problems associated with time-sharing computer system are described. A mathematical model was developed based on queues with feedback. The queue size and its variability within the computer can be determined with the enclosed formulation. Other important system design parameters such as the system response time, etc., can also be obtained. The mathematical model complements standard simulation techniques for time-sharing computer analysis. Although the problems discussed in this paper arose in the computer systems, the queuing model developed is quite general and may be useful for other industrial applications.