796 Chapter Eighteen Management of Waiting Lines

TABLE 18.4 λ/µ M Lq P0 λ/µ M Lq P0 λ/µ M Lq P0

Infinite-source values for
Lq and P0 given λ/µ and M 0.15 1 0.026 .850 1.1 2 0.477 .290 6 0.021 .100
2 0.001 .860 3 0.066 .327 2.4 3 2.589 .056
0.20 1 0.050 .800 4 0.011 .332 4 0.431 .083
2 0.002 .818 1.2 2 0.675 .250 5 0.105 .089
0.25 1 0.083 .750 3 0.094 .294 6 0.027 .090
2 0.004 .778 4 0.016 .300 7 0.007 .091
0.30 1 0.129 .700 5 0.003 .301 2.5 3 3.511 .045
2 0.007 .739 1.3 2 0.951 .212 4 0.533 .074
0.35 1 0.188 .650 3 0.130 .264 5 0.130 .080
2 0.011 .702 4 0.023 .271 6 0.034 .082
0.40 1 0.267 .600 5 0.004 .272 7 0.009 .082
2 0.017 .667 1.4 2 1.345 .176 2.6 3 4.933 .035
0.45 1 0.368 .550 3 0.177 .236 4 0.658 .065
2 0.024 .633 4 0.032 .245 5 0.161 .072
3 0.002 .637 5 0.006 .246 6 0.043 .074
0.50 1 0.500 .500 1.5 2 1.929 .143 7 0.011 .074
2 0.033 .600 3 0.237 .211 2.7 3 7.354 .025
3 0.003 .606 4 0.045 .221 4 0.811 .057
0.55 1 0.672 .450 5 0.009 .223 5 0.198 .065
2 0.045 .569 1.6 2 2.844 .111 6 0.053 .067
3 0.004 .576 3 0.313 .187 7 0.014 .067
0.60 1 0.900 .400 4 0.060 .199 2.8 3 12.273 .016
2 0.059 .538 5 0.012 .201 4 1.000 .050
3 0.006 .548 1.7 2 4.426 .081 5 0.241 .058
0.65 1 1.207 .350 3 0.409 .166 6 0.066 .060
2 0.077 .509 4 0.080 .180 7 0.018 .061
3 0.008 .521 5 0.017 .182 2.9 3 27.193 .008
0.70 1 1.633 .300 1.8 2 7.674 .053 4 1.234 .044
2 0.098 .481 3 0.532 .146 5 0.293 .052
3 0.011 .495 4 0.105 .162 6 0.081 .054
0.75 1 2.250 .250 5 0.023 .165 7 0.023 .055
2 0.123 .455 1.9 2 17.587 .026 3.0 4 1.528 .038
3 0.015 .471 3 0.688 .128 5 0.354 .047
0.80 1 3.200 .200 4 0.136 .145 6 0.099 .049
2 0.152 .429 5 0.030 .149 7 0.028 .050
3 0.019 .447 6 0.007 .149 8 0.008 .050
0.85 1 4.817 .150 2.0 3 0.889 .111 3.1 4 1.902 .032
2 0.187 .404 4 0.174 .130 5 0.427 .042
3 0.024 .425 5 0.040 .134 6 0.120 .044
4 0.003 .427 6 0.009 .135 7 0.035 .045
0.90 1 8.100 .100 2.1 3 1.149 .096 8 0.010 .045
2 0.229 .379 4 0.220 .117 3.2 4 2.386 .027
3 0.030 .403 5 0.052 .121 5 0.513 .037
4 0.004 .406 6 0.012 .122 6 0.145 .040
0.95 1 18.050 .050 2.2 3 1.491 .081 7 0.043 .040
2 0.277 .356 4 0.277 .105 8 0.012 .041
3 0.037 .383 5 0.066 .109 3.3 4 3.027 .023
4 0.005 .386 6 0.016 .111 5 0.615 .033
1.0 2 0.333 .333 2.3 3 1.951 .068 6 0.174 .036
3 0.045 .364 4 0.346 .093 7 0.052 .037
4 0.007 .367 5 0.084 .099 8 0.015 .037

(continued)
 Chapter Eighteen Management of Waiting Lines 797

λ/µ M Lq P0 λ/µ M Lq P0 λ/µ M Lq P0

TABLE 18.4
(concluded)
3.4 4 3.906 .019 4.3 7 0.289 .130 5.2 6 4.301 .003
5 0.737 .029 8 0.097 .013 7 1.081 .005
6 0.209 .032 9 0.033 .014 8 0.368 .005
7 0.063 .033 10 0.011 .014 9 0.135 .005
8 0.019 .033 4.4 5 5.268 .006 10 0.049 .005
3.5 4 5.165 .015 6 1.078 .010 11 0.018 .006
5 0.882 .026 7 0.337 .012 5.3 6 5.303 .003
6 0.248 .029 8 0.114 .012 7 1.249 .004
7 0.076 .030 9 0.039 .012 8 0.422 .005
8 0.023 .030 10 0.013 .012 9 0.155 .005
9 0.007 .030 4.5 5 6.862 005 10 0.057 .005
3.6 4 7.090 .011 6 1.265 .009 11 0.021 .005
5 1.055 .023 7 0.391 .010 12 0.007 .005
6 0.295 .026 8 0.134 .011 5.4 6 6.661 .002
7 0.019 .027 9 0.046 .011 7 1.444 .004
8 0.028 .027 10 0.015 .011 8 0.483 .004
9 0.008 .027 4.6 5 9.289 .004 9 0.178 .004
3.7 4 10.347 .008 6 1.487 .008 10 0.066 .004
5 1.265 .020 7 0.453 .009 11 0.024 .005
6 0.349 .023 8 0.156 .010 12 0.009 .005
7 0.109 .024 9 0.054 .010 5.5 6 8.590 .002
8 0.034 .025 10 0.018 .010 7 1.674 .003
9 0.010 .025 4.7 5 13.382 .003 8 0.553 .004
3.8 4 16.937 .005 6 1.752 .007 9 0.204 .004
5 1.519 .017 7 0.525 .008 10 0.077 .004
6 0.412 .021 8 0.181 .009 11 0.028 .004
7 0.129 .022 9 0.064 .009 12 0.010 .004
8 0.041 .022 10 0.022 .009 5.6 6 11.519 .001
9 0.013 .022 4.8 5 21.641 .002 7 1.944 .003
3.9 4 36.859 .002 6 2.071 .006 8 0.631 .003
5 1.830 .015 7 0.607 .008 9 0.233 .004
6 0.485 .019 8 0.209 .008 10 0.088 .004
7 0.153 .020 9 0.074 .008 11 0.033 .004
8 0.050 .020 10 0.026 .008 12 0.012 .004
9 0.016 .020 4.9 5 46.566 .001 5.7 6 16.446 .001
4.0 5 2.216 .013 6 2.459 .005 7 2.264 .002
6 0.570 .017 7 0.702 .007 8 0.721 .003
7 0.180 .018 8 0.242 .007 9 0.266 .003
8 0.059 .018 9 0.087 .007 10 0.102 .003
9 0.019 .018 10 0.031 .007 11 0.038 .003
4.1 5 2.703 .011 11 0.011 .007 12 0.014 .003
6 0.668 .015 5.0 6 2.938 .005 5.8 6 26.373 .001
7 0.212 .016 7 0.810 .006 7 2.648 .002
8 0.070 .016 8 0.279 .006 8 0.823 .003
9 0.023 .017 9 0.101 .007 9 0.303 .003
4.2 5 3.327 .009 10 0.036 .007 10 0.116 .003
6 0.784 .013 11 0.013 .007 11 0.044 .003
7 0.248 .014 5.1 6 3.536 .004 12 0.017 .003
8 0.083 .015 7 0.936 .005 5.9 6 56.300 .000
9 0.027 .015 8 0.321 .006 7 3.113 .002
10 0.009 .015 9 0.117 .006 8 0.939 .002
4.3 5 4.149 .008 10 0.042 .006 9 0.345 .003
6 0.919 .012 11 0.015 .006 10 0.133 .003