HW2 Solutions

HW2 Solutions - ISyE 4803 Homework 2 Due(20 Points NOTE In...

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1 ISyE 4803 - Homework 2 Due: Sep 24, 2009 (20 Points) NOTE: In answering these questions, do not copy-paste text from the articles. Use your own words. 1. (5 points) In the “Resource Allocation for Malaria Prevention” case: 1. (1 point) Which problems are solved with the solution approach offered in this presentation? The focus of this project is to develop an efficient and effective resource allocation methodology, with the goal of maximizing the number of people, who are at risk of malaria, protected by a prevention method. Decisions include: Where to locate Distribution Centers (DCs) How many DCs to open When DCs should be open What regions DCs should serve When to cover each zone Number of people to protect in each zone Labor, trucks, equipment, insecticide/nets to base at DCs Labor, trucks, equipment to allocate to each zone 2. (2 points) What are the 3 heuristic variations in the solution approach? Why is it necessary to use 3 different heuristics? The solution approach prioritizes the zone assignment by three different criteria: greatest risk first, greatest population first and greatest combined risk and population first. The reason for using three different heuristics is to search for alternative “good” solutions for the problem, since heuristics do not guarantee to find the best solution. 3. (2 points) What conclusions can we derive from the sensitivity analysis? What is the benefit of sensitivity analysis in this context? The sensitivity analysis shows that estimated values of the spray effectiveness and the spray rate (which are input to the model) significantly affect the solution. If the value of spray effectiveness or spray rate is over-estimated by 40%, the objective function is reduced by 55% and 35%, respectively. The benefit of doing the sensitivity analysis is to see how the objective function value and the solution changes when the input parameters are not estimated accurately. In particular, if the solution is more sensitive to the (in)accuracy of certain parameters, we can focus our efforts on accurately estimating the values of those parameters with the goal of obtaining a robust solution.

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This note was uploaded on 11/26/2009 for the course ISYE 4803 taught by Professor Staff during the Fall '08 term at Georgia Tech.

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HW2 Solutions - ISyE 4803 Homework 2 Due(20 Points NOTE In...

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