System stability for slotted ALOHA in heavy traffic region

The problem of defining traffic regions for a slotted ALOHA model is introduced in the literature through the ergodicity analysis studied previously. In their work, the authors of the mentioned references devised a criterion on the estimate drift performance to guarantee system stability for traffic below an upper bound. This paper extends the estimate drift analysis and introduces the joint true versus estimate drift analysis to design the control parameters which guarantee system stability above the upper bound mentioned, and thus in any traffic region.