The article "A Robust Optimization Approach for the Capacitated Vehicle Routing Problem with Demand Uncertainty" (I. Sungur, F. Ordonez, and M. Dessouky, IIE Transactions, 2008:509-523) discusses methods to reduce transportation costs while satisfying demands. In one study, the percent demand that is unmet (y) and the percent of vehicle capacity (x) needed to meet the expected demand were recorded for 27 different scenarios. The results are presented in the following table. х У 0.5 82 0.0 0.7 1.3 0.8 11 0.9 1.2 1.3 0.2 0.8 1.4 0.9 1.4 0.4 1.7 93 11 93 0.8 90 0.3 0.2 1.0 1.0 89 1.0 93 1.3 91 1.3 94 1.2 94 0.7 Compute the least-squares line for predicting unmet demand (y) from vehicle capacity (X). b. Compute 95% confidence intervals for B, and B,- Predict the unmet demand when the vehicle capacity is 93%. d. a. c. Find a 95% confidence interval for the mean unmet demand when the vehide capacity is 93%. Find a 95% prediction interval for the unmet demand for a scenario whose vehicle capacity is 93%. e.
The article "A Robust Optimization Approach for the Capacitated Vehicle Routing Problem with Demand Uncertainty" (I. Sungur, F. Ordonez, and M. Dessouky, IIE Transactions, 2008:509-523) discusses methods to reduce transportation costs while satisfying demands. In one study, the percent demand that is unmet (y) and the percent of vehicle capacity (x) needed to meet the expected demand were recorded for 27 different scenarios. The results are presented in the following table. х У 0.5 82 0.0 0.7 1.3 0.8 11 0.9 1.2 1.3 0.2 0.8 1.4 0.9 1.4 0.4 1.7 93 11 93 0.8 90 0.3 0.2 1.0 1.0 89 1.0 93 1.3 91 1.3 94 1.2 94 0.7 Compute the least-squares line for predicting unmet demand (y) from vehicle capacity (X). b. Compute 95% confidence intervals for B, and B,- Predict the unmet demand when the vehicle capacity is 93%. d. a. c. Find a 95% confidence interval for the mean unmet demand when the vehide capacity is 93%. Find a 95% prediction interval for the unmet demand for a scenario whose vehicle capacity is 93%. e.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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