See also: http://lyrawww.uvt.nl/~blanc/qm-blanc.pdf Roberto-Maestres-MacBook-Pro:mmck-CTMarkovChain rmaestre$ python simulate.py M/M/c/K model simulation ------------------------ + MODEL PARAMETERS Lambda: 10.7000 Mu: 1.5000 c: 8.0000 K: 200.0000 Stability: True (rho = 0.8917) + TAIL Average number of clients (l) = 12.7227 Average length (lq) = 5.5893 Average waiting time for a client into the tail (w) = 1.1890 + SYSTEM Average waiting time into the system (wq) = 0.5224 + PROBABILITY DISTRIBUTION P_0 = 0.0004424480 P_1 = 0.003156128755068 P_2 = 0.011256859226408 P_3 = 0.026766309716126 P_4 = 0.047733252327091 P_5 = 0.068099439986650 P_6 = 0.080962667539684 P_7 = 0.082504813588058 P_8 = 0.073566792116019 P_9 = 0.065597056303450 P_10 = ..... ..... P_200 = 0.000000000020210 [Total Probability: 1.0] Elapsed time: 0.00117803