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Unformatted text preview: Industrial Engineering Spring Operations Research Optimization Homework Last updated: February , Guide ines Homework assignments are always due on Mon days at : pm. Remember that endofclass quizzes might be based on the most recently due homework. Solutions to each homework assignment will be posted on Blackboard the day a er it is due. Homework is not collected or graded. ere are some instructions common to several problems. See the endnotes on page . Assignments Due date Problems / , , , , , / , , , / , , , , / , , , , / , , , , , , / / , , , / , , , , / / , , , / , , , , , , / , , , , , / / , , , , , / , , , , / , , , Prob ems Prob em . Read the syllabus carefully. Familiarize yourself with the course components and the policies on makeup quizzes and exams, regrading, collaboration, and academic honesty. Prob em (Rardin, Exercise  ) . A factory has two production lines available to make a product. e rst can produce one lot of the product in t hours at cost c , and the second requires t hours and cost c . e plant manager wishes to nd the least costly way to produce b lots in a total of at most T hours. An integer number x will be produced on line , and an integer number x will be produced on line . Identify each of the following for this design problem: (a) the decision variables (b) the data, or input parameters (c) the objective function (d) the constraints Prob em . A rm wants to choose the site of a new warehouse that will simultaneously serve four retail branches. e average daily transportation need of the four retail branches from the warehouse are: Retail branch Coordinates Number of daily deliveries Ashmouth ( , ) Bedsbottom ( , ) Cadillac ( , ) Danhunt ( , ) Suppose that travel costs are per mile, and trucks can travel a straight line between the new warehouse and the retail branches. e rm would like to determine where to locate the new warehouse in a way that minimizes the daily transportation cost. (a) Formulate an optimization model to determine the new warehouses location. Remember that a delivery is a roundtrip. (b) Suppose that zoning laws restrict the location of the new warehouse to lie in the foursided shaded region in the gure below. Formulate a new optimization model to determine the new warehouses location, taking these additional restrictions into consideration. x y Ashmouth ( , ) Bedsbottom ( , ) Cadillac ( , ) Danhunt ( , ) ( , ) ( , ) ( , ) ( , ) Prob em (Rardin, Exercise  ) . An engineer is working on a design problem with n parameters to be chosen, and each has possible values. A highly valid descriptive model is available, and he is thinking of choosing the best design simply by using the model to evaluate the e ect of every combination of design parameter values....
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This note was uploaded on 02/22/2012 for the course IE 335 taught by Professor Jeanphilippe,r during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 Jeanphilippe,R
 Operations Research, Optimization

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