2. (2.5 points) A telephone service provider has a local central in a given residencial area. It is known that: - the ce

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2 2 5 Points A Telephone Service Provider Has A Local Central In A Given Residencial Area It Is Known That The Ce 1 (135.72 KiB) Viewed 36 times

2 2 5 Points A Telephone Service Provider Has A Local Central In A Given Residencial Area It Is Known That The Ce 2 (92.43 KiB) Viewed 36 times

2 2 5 Points A Telephone Service Provider Has A Local Central In A Given Residencial Area It Is Known That The Ce 3 (317.11 KiB) Viewed 36 times

2. (2.5 points) A telephone service provider has a local central in a given residencial area. It is known that: - the central serves 5000 clients; - a client, on average: • receives 5 calls/day, with an average duration of 2 min/call; • makes 3 calls/day, with an average duration of 3 min/call; it is intended to guarantee a quality of service of 3%. 1
(a) (1 point) In these conditions, what is the number of channels the central should possess? Justify. (b) (1.5 points) Determine the quality of service provided by the central assuming that the operator only has the budget to buy 55 channels.
zako 1 ای اس ادا 4 1.146 1.325 8.430 7.376 8.108 16 7.878 8.100 17 18 19 8.724 9.351 9.761 NB-0.001 B-0.002 B-0.003 B-0.004 B-0.005 B-0.01 B-0.02 B-0.03 B-0.04 B-0.05 B-0.1 B-0.15 B-0.2 B-0.25 B-0.3 0.001 0.002 0.003 0.004 0.005 0.010 0.020 0.031 0.042 0.530 0.111 0.177 0.250 0.333 0.429 2 0.046 0.065 0.081 0.094 0.105 0.153 0.224 0.282 0.333 0.381 0.595 0.796 1.000 1.215 1.449 3 0.194 0.249 0.289 0.321 0.349 0.456 0.602 0.715 0.812 0.899 1.271 1.930 1.603 2.270 2.633 0.439 0.535 0.602 0.656 0.701 0.869 1.092 1.259 1.399 1.525 2.045 2.501 2.945 3.403 3.891 0.762 0.900 0.995 1.069 1.132 1.361 1.657 1.875 2.057 2.219 2.881 3.454 4.010 4.581 5.189 1.447 1.542 1.622 1.909 2.276 2.543 2.705 2.960 3.758 4.445 5.109 5.790 6.514 7 1.579 1.798 1.946 2.061 2.158 2.501 2.935 3.250 3.510 3.738 4.666 5.461 6.230 7.018 7.856 8 2.051 2.311 2.484 2.618 2.730 3.128 3.627 3.987 4.283 4.543 5.597 6.498 7.369 8.262 9.213 9 2.558 2.855 3.053 3.206 3.333 3.783 4.345 4.748 5.080 5.370 6.546 7.551 8.522 9.518 10.579 10 3.092 3.427 3.648 3.819 3.961 4.461 5.084 5.529 5.895 6.216 7.511 8.616 9.685 10.783 11.953 11 3.651 4.022 4.266 4.455 4.610 5.600 5.842 6.328 6.727 7.076 8,487 9.691 10.857 12.055 13.333 12 4.231 4.637 4.904 5.109 5.279 5.876 6.615 7.141 7.572 7.950 9.474 10.776 12.036 13.333 14.719 13 4.831 5.270 5.559 5.781 5.964 6.607 7.402 7.967 8.835 10.470 11.867 13.222 14.617 16.109 14 5.446 5.919 6.229 6.467 6.663 7.352 8.200 8.809 9.298 9.730 11.474 12.965 14.413 15.905 17.503 15 6.077 6.582 6.913 7.167 9.010 9.650 10.175 10.633 12.484 14.068 15.608 17.197 18.899 6.722 7.258 7.609 8.875 9.828 10.505 11.059 11.544 13.500 15.176 16.807 18.492 20.299 7.378 7.946 8.316 8.600 8.834 9.652 10.656 11.368 11.952 12.461 14.522 16.289 18.010 19.790 21.700 8.046 8.644 9.034 9.332 9.578 10.437 11.491 12.238 12.850 13.385 15.548 17.405 19.216 21.090 23.104 10.073 10.331 11.230 12.333 13.115 13.755 14.315 16.579 18.525 20.424 22.392 24.510 9.412 10.068 10.496 10.823 11.092 12.031 13.182 13.997 14.665 15.249 17.613 19.648 21.635 23.697 25.917 10.108 10.793 11.239 11.580 11.860 12.838 14.036 14.885 15.581 16.189 18.651 20.773 22.848 25.003 27.325 10.812 11.525 11.989 12.344 12.635 13.651 14.896 15.778 16.501 17.132 19.693 21.901 24.064 26.311 28.735 23 11.524 12.265 12.747 13.114 13.416 14.471 15.761 16.676 17.425 18.080 20.737 23.031 25.281 27.621 30.146 24 12.243 13.011 13.510 13.891 14.204 15.295 16.631 17.577 18.353 19.031 21.784 24.164 26.499 28.931 31.558 25 12.969 13.763 14.997 16.125 17.505 18.483 19.284 19.985 22.833 25.298 27.720 30.243 14.280 14.673 32.971 26 13.701 16.959 18.383 19.392 20.219 20.943 23.885 26.435 28.941 31.556 34.385 15.461 14.522 15.055 15.795 14.439 15.285 27 15.835 16.254 17.797 19.265 20.305 21.158 21.904 24.939 27.572 30.164 16.598 32.870 35.799 18.640 20.150 21.221 22.099 22.867 25.995 28.712 31.388 34.185 37.215 15.182 16.054 16.620 17.051 17.406 15.93 16.828 17.410 17.853 18.218 19.487 21.039 22.14 23.043 23.833 27.053 29.853 32.614 35.501 38.630 20.337 21.932 23.062 23.990 24.802 28.113 30.995 33.840 36.817 40.047 16.684 17.606 18.204 18.660 19.034 19.854 21.191 22.827 23.987 24.939 25.773 29.174 32.138 35.067 38.135 41.464 17.442 18.389 19.002 19.470 22.048 23.725 24.914 25.890 26.746 30.237 33.283 36.295 39.453 42.882 18.205 19.176 19.805 20.284 20.678 19.966 20.611 21.102 21.505 22.909 24.626 25.844 26.844 27.721 31.301 34.429 37.524 40.771 44.300 18.972 19.745 20.761 21.421 21.923 22.336 23.772 25.529 26.776 27.800 28.698 32.367 35.576 38.754 42.091 45.719 20.517 21.559 22.234 22.748 23.169 24.638 26.435 27.711 28.758 29.677 33.434 36.723 39.985 43.410 47.138 21.296 22.361 23.050 23.575 24.006 25.507 27.343 28.647 29.718 30.657 34.503 37.872 41.216 44.731 48.557 23.870 24.406 24.846 26.379 28.254 29.585 30.680 31.640 35.572 39.022 42.448 46.052 49.977 22.078 23.166 40.127 43.680 47.373 51.397 22.864 23.974 24.692 25.240 25.689 27.253 29.166 30.526 31.643 32.624 36.643 23.652 24.785 25.518 26.076 26.534 28.129 30.081 31.468 32.608 33.609 37.715 41.323 44.913 48.695 52.818 20 21 22 28 29 30 31 5 6 اب با 32 33 Apêndice A Tabela de Erlang A tabela abaixo foi desenvolvida utilizando a Eq. 5.29. AEIN-1(A) 1,N-1 N+AE,r_i(4) 34 35 36 37 38 39 B = E₁N (A) = 3 E1,0 = 1