Steady-state solution to the G/M/c-like queue

G/M/c 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 + servers)

2) Select the service time

ts Mean service time

3) Select the inter-arrival time

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

Cox2 distribution

Arrivals follow a Coxian distribution with 2 stages with λ1 = , λ2 = and rb1 = .


Arrivals follow a simple Poisson process with rate λ1 =

Erlang distribution queue

Arrivals follow an Erlang or hypoexponential distribution with n = stages at rate λ1 = and λ2 = .

Coxian distribution

Arrivals follow a generalized Coxian distribution
τi  λi  rbi
Phase 1:      
Phase 2:      
Phase 3:      
Phase 4:      
Phase 5:      
Phase 6:      
Phase 7:      
Phase 8:      
Phase 9:      
Phase 10: