Araik Tamazian atamazian
atamazian
/ mm1_sim_ex1.out
Created
March 9, 2015 17:54
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| Total number of clients: 100000 | |
| Mean arrival rate: 0.25 | |
| Mean service rate: 1 | |
| *************************************** | |
| Mean time spent in queue: 0.3329325 | |
atamazian
/ mm1_sim.sce
Last active
August 29, 2015 14:16
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| // M/M/1 Queueing System Simulation | |
| // | |
| // Author: Araik Tamazian, 2015 | |
| // | |
| // Simulation parameters | |
| N = 1e+5 // total number of clients to simulate | |
| lambda = 0.25 // arrival rate | |
| mu = 1.0 // service rate |
atamazian
/ kingman.sce
Last active
August 29, 2015 14:15
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| function Wq = kingman(ti, ts) | |
| rho = mean(ts)/mean(ti); | |
| cva = stdev(ti)/mean(ti); | |
| cvs = stdev(ts)/mean(ts); | |
| Wq = (rho/(1 - rho))*((cva^2 + cvs^2)/2)*mean(ti); | |
| endfunction |
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| // Perform M/M/Inf queue analysis | |
| // | |
| // Input: lambda - arrival rate | |
| // mu - service rate | |
| // Output: A - offered traffic, | |
| // L - mean number of customers in the system | |
| // W - mean time spent in system | |
| function [A, L, W]=qmodel_mminf(lambda, mu) | |
| A = lambda/mu; |
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| // Perform M/M/1 queue analysis | |
| // | |
| // Input: lambda - arrival rate | |
| // mu - service rate | |
| // Output: u - utilization, | |
| // L - mean number of customers in the system | |
| // W - mean sojourn time | |
| function [u, L, W]=qmodel_mm1(lambda, mu) | |
| if lambda < mu then |