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Q3 Measurements on call-failures in a Telephone Central Office (TCO) compiled over eight bimonthly data, i = 1, 2, ..., 6 indicate random values (RVS) with corresponding frequency of occurrence (n.). Relevant assessments done at two independent sites of TCO X and TCO Y and pertinent details are listed below. (The percentage values (Cx and Cy) shown are measures off- sets of call-failures with respect to a reference of zero value) Bimonthly Index TCO X TCO Y Cx, % A Cy% Determine the following: i-1 i-2 i-3 i-4 5.1 81 Answer (Check!) (7.26, 22.92): (5.68, (6.29, 38.35) 8.25) 2.5 6.4 7.8 33 12 9 30 21 16 8 10 32 23 7 22 19 Hint: The associated RV refers to: (Percentage of call-failures (Cx or Cy) * n/100) - Actual number of call-failures Eur 18 17 43 i-5 i-6 i-7 i-8 5.9 3.4 134 42 75 iii iv (4.82-3.92(+ 2.456 8.19)-4.12) +1.998) 8.7 2.5 v 48 (v) Skewness of central tendency of the RV in terms of relevant Pearson coefficient 9 147 (i) Expected average and variance of the RV in each site, [E[x], V(x); E[y], V(y)] (ii) Inter-quartile ranges (IQRs) of the RVs at X and Y. (iii) Average performance of the RVs at X and Y expressed in terms of their approximate GM values (iv) Off-sets of expected mean with respect to median in each case: (Median- E[-]) NTotal=572 Total =173

Q3 Measurements on call-failures in a Telephone Central Office (TCO) compiled over eight bimonthly data, i = 1, 2, ..., 6 indicate random values (RVS) with corresponding frequency of occurrence (n.). Relevant assessments done at two independent sites of TCO X and TCO Y and pertinent details are listed below. (The percentage values (Cx and Cy) shown are measures off- sets of call-failures with respect to a reference of zero value) Bimonthly Index TCO X TCO Y Cx, % A Cy% Determine the following: i-1 i-2 i-3 i-4 5.1 81 Answer (Check!) (7.26, 22.92): (5.68, (6.29, 38.35) 8.25) 2.5 6.4 7.8 33 12 9 30 21 16 8 10 32 23 7 22 19 Hint: The associated RV refers to: (Percentage of call-failures (Cx or Cy) * n/100) - Actual number of call-failures Eur 18 17 43 i-5 i-6 i-7 i-8 5.9 3.4 134 42 75 iii iv (4.82-3.92(+ 2.456 8.19)-4.12) +1.998) 8.7 2.5 v 48 (v) Skewness of central tendency of the RV in terms of relevant Pearson coefficient 9 147 (i) Expected average and variance of the RV in each site, [E[x], V(x); E[y], V(y)] (ii) Inter-quartile ranges (IQRs) of the RVs at X and Y. (iii) Average performance of the RVs at X and Y expressed in terms of their approximate GM values (iv) Off-sets of expected mean with respect to median in each case: (Median- E[-]) NTotal=572 Total =173

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.2: Modeling Arrival And Service Processes
Problem 1P
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Q3 Measurements on call-failures in a Telephone Central Office (TCO) compiled over eight bimonthly data, i = 1, 2, ..., 6 indicate random values (RVS) with corresponding frequency of occurrence (n.). Relevant assessments done at two independent sites of TCO X and TCO Y and pertinent details are listed below. (The percentage values (Cx and Cy) shown are measures off- sets of call-failures with respect to a reference of zero value) Bimonthly Index TCO X Cx, % n TCO Y Determine the following: i=1 i-2 i-3 SA 81 Answer (Check!) 2.5 6.4 33 12 (7.26, 22.92): (5.68, (6.29, 38.35) 8.25) i-4-5 i-6 li=7 i=8 3.4 75 7.8 134 5.9 Cy, % 19 EIP 18 30 2.5 21 16 8 10 17 43 32 23 17 22 19 Hint: The associated RV refers to: (Percentage of call-failures (Cx or Cy) x n/100) - Actual number of call-failures iii iv (4.82-3.92, (+ 2.456, 8.19)-4.12) +1.998) 42 8.7 48 19 (v) Skewness of central tendency of the RV in terms of relevant Pearson coefficient 147 (i) Expected average and variance of the RV in each site, [E[x], V(x); E[y], V(y)] (ii) Inter-quartile ranges (IQRs) of the RVs at X and Y. (iii) Average performance of the RVs at X and Y expressed in terms of their approximate GM values (iv) Off-sets of expected mean with respect to median in each case: (Median- E[-]) YAMP Q1 NTotal=872 Total =173
Transcribed Image Text:Q3 Measurements on call-failures in a Telephone Central Office (TCO) compiled over eight bimonthly data, i = 1, 2, ..., 6 indicate random values (RVS) with corresponding frequency of occurrence (n.). Relevant assessments done at two independent sites of TCO X and TCO Y and pertinent details are listed below. (The percentage values (Cx and Cy) shown are measures off- sets of call-failures with respect to a reference of zero value) Bimonthly Index TCO X Cx, % n TCO Y Determine the following: i=1 i-2 i-3 SA 81 Answer (Check!) 2.5 6.4 33 12 (7.26, 22.92): (5.68, (6.29, 38.35) 8.25) i-4-5 i-6 li=7 i=8 3.4 75 7.8 134 5.9 Cy, % 19 EIP 18 30 2.5 21 16 8 10 17 43 32 23 17 22 19 Hint: The associated RV refers to: (Percentage of call-failures (Cx or Cy) x n/100) - Actual number of call-failures iii iv (4.82-3.92, (+ 2.456, 8.19)-4.12) +1.998) 42 8.7 48 19 (v) Skewness of central tendency of the RV in terms of relevant Pearson coefficient 147 (i) Expected average and variance of the RV in each site, [E[x], V(x); E[y], V(y)] (ii) Inter-quartile ranges (IQRs) of the RVs at X and Y. (iii) Average performance of the RVs at X and Y expressed in terms of their approximate GM values (iv) Off-sets of expected mean with respect to median in each case: (Median- E[-]) YAMP Q1 NTotal=872 Total =173
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