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

G/G/C/N queue

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

Example 1

Example 2

Example 3

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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

by: its mean and coefficient of variation or a specific Coxian distribution

j
ta
Mean time between arrivals
Number of phases (max=10)

cva
Coefficient of variation

Cox2 distribution

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

change

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:

3) Select the service time

by: its mean and coefficient of variation or a specific Coxian distribution

k
ts
Mean service time
Number of phases (max=10)

cvs
Coefficient of variation

Cox2 distribution

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

change

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: