Fig 1.
The idea of the queueing system with the dropping function.
Table 1.
Performance characteristics of systems with dropping function da for five values of a.
Fig 2.
Five linear dropping functions providing the average queue length of 50, 40, 30, 20 and 10 customers, respectively (counting from the bottom).
Fig 3.
Queue length distributions for dropping function da. On the left, for a = 0.02199, on the right, for a = 0.0037315.
Table 2.
Performance characteristics of systems with dropping function db for five values of b.
Fig 4.
Five dropping functions providing the loss ratio of 20%, 25%, 30%, 35% and 40%, respectively (counting from the bottom).
Fig 5.
Queue length distributions for dropping function db. On the left, for b = 0.00000935, on the right, for b = 0.00007900.
Fig 6.
Three different dropping functions providing the average queue length of 75 customers.
Table 3.
Performance characteristics of systems with dropping functions d1–d3.
Fig 7.
Queue length distributions for dropping functions d1–d3. Distribution for d1 in the upper-left corner, for d2 in the upper-right corner, for d3 in the bottom.
Fig 8.
Three different dropping functions providing the loss ratio of 20% of customers.
Table 4.
Performance characteristics of systems with dropping functions d4–d6.
Fig 9.
Queue length distributions for dropping functions d4–d6. Distribution for d4 in the upper-left corner, for d5 in the upper-right corner, for d6 in the bottom.
Fig 10.
Dropping function providing the average queue length of 30 customers for ρ = 90%, and 60 customers for ρ = 110%.
Table 5.
Performance characteristics of systems with dropping function d7 and two different loads.
Fig 11.
Queue length distributions for dropping function d7. On the left, for ρ = 90%, on the right, for ρ = 110%.