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Goal Programming Problems for Exams

 

The following table tells you the kind of goal programming problem you should expect in the ME30B exam, and the possible questions associated with them. A question may have a combination of these type of problems. There are two possible type of goal programming problems for the exam, two variables and three or more variables. These problems may have priorities or penalties associated with the goal. In the former, you may have to determine the solution or the solution will be given to you. In the latter, the solution will most likely be given.

Please note: I do not set the exams, the structure and questions in the exams are all up do the discretion of Mr. Lau and what I am giving you here are the likely possibilities based on what has been taught to you.

 

Type of Goal Programming Model

Requirements

 

 

1 .Two Variable Problems (get information on solving this problem here)

 

a) Two variable problem with goal priorities and no solution provided

  • Formulate the goal programming model using goal priorities
  • Solve the problem graphically using goal priorities
  • Using the obtained solution to the problem, determine the deviation from each goal (i.e. which goal is met or not and by how much)

b) Two variable problem with goal priorities and solution given

  • Formulate the goal programming model using goal priorities
  • Using the given solution to the problem, determine the deviation from each goal (i.e. which goal is met or not and by how much)

 c) Two variable problem with goal penalties and no solution provided

  • Formulate the goal programming model using goal penalties
  • Solve the problem graphically using goal penalties
  • Using the obtained solution to the problem, determine the deviation from each goal (i.e. which goal is met or not and by how much)
  • Use penalties given for each goal and the solution to determine a) the value of penalties for each goal and b) sum of the penaltiesí value

d) Two variable problem with goal penalties and solution given

  • Formulate the goal programming model using goal penalties
  • Using the given solution to the problem, determine the deviation from each goal (i.e. which goal is met or not and by how much)
  • Given the solution to the problem and penalties associated with the goals determine a) the value of penalties for each goal and b) sum of the penaltiesí value

 

 

2. Three or More Variable Problems

 

a) Three or more variable problems with goal priorities and solution given

  • Formulate the goal programming model using goal priorities
  • Given the solution to the problem, determine the deviation from each goal

b) Three or more variable problems with goal penalties and solution given

  • Formulate the goal programming model using goal penalties
  • Given the solution to the problem, determine the deviation from each goal
  • Given the solution to the problem and penalties associated with the goals, a) determine the value of penalties for each goal and b) sum of the penaltiesí value

 

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