Efficiency monotonic indices of queueing systems

Economic & mathematical methods and models

The article is dedicated to the monotonicity property determination of some efficiency indices for four types queueing systems – refuse system, ordered bundle of lines, waiting lines and closed system. This property makes easier and faster finding of optimal number of lines in these systems. It’s proved the monotony by the growing number of lines over 15 of such indices, for example, the diminution probability of occupation or outage for all lines, the queue length and time, the number of calls and stay time in service system, the object downtime ratio and lines while transition from individual to team type multiple-machine supervision etc.