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Consider the path flow formulation of the multi commodity flow problem of Section 8.8.7. Assume that for each OD pair (im, jm) there is a "reverse" OD pair (jm, im), and let cm > 0 be the ratio of the supplies of these two OD pairs. Suppose that there is the restriction that the paths used by the OD pair (im, jm) must be the reverse of the paths used by the OD pair (jm, im) and the ratios of the corresponding flows must be cm; that is, if hp is the flow carried by a path p from im to jm, then cmhp must be the flow of the reverse path of p, from jm to im. Derive an optimality condition like the one of Prop. 8.5, and the forms of the conditional gradient and gradient projection methods for this problem.
What is Optimal solution? Using Linear Programming or any other methods (Optional) Explain in Detail What does it mean "Optimal Solution"?
a random sample of 21 ncaa division i mens basketball games during the 2009-2010 season had an average attendance of
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x is a normally distributed random variable with a standard deviation of 4.00. find the mean of x if 12.71 of the area
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the probability distribution of a discrete random variable x is given bypx -1 15 px 0 25 px 1 25 .a. compute
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a building has ten floors plus a basement if 12 people get into an elevator at the basement and each chooses a floor at
a psychologist is conducting a study in which 30 students attend workshops by the speaking center for one hour per week
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