Steady-state solution to the M/G/C/N-like queue

M/G/C/N queue

To get started, select one of these examples, then press the "Submit" button:

Example 1

Example 2

Example 3


1) Type in the parameters of the queue

C Number of servers
N Maximum number in system (buffer + server)

2) Select the inter-arrival time

ta Mean time between two arrivals

3) Select the service time

by: its mean and coefficient of variation or a specific Coxian distribution
Mean service time
Number of phases (max=10)
Coefficient of variation

Cox2 distribution

Services follow a Coxian distribution with 2 stages with μ1 = , μ2 = and qb1 = .


Services follow a simple Exponential distribution with rate μ1 =

Erlang distribution queue

Services follow an Erlang or hypoexponential distribution with n = stages at rate μ1 = and μ2 = .

Coxian distribution

Services follow a generalized Coxian distribution
σi  μi  qbi
Phase 1:      
Phase 2:      
Phase 3:      
Phase 4:      
Phase 5:      
Phase 6:      
Phase 7:      
Phase 8:      
Phase 9:      
Phase 10: