Exam 7: Using binary integer programming to deal withy es-Or-No decisions
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Exam 7: Using binary integer programming to deal withy es-Or-No decisions28 Questions
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In a BIP problem,1 corresponds to a yes decision and 0 to a no decision If project A can be undertaken only if project B is also undertaken then the following constraint needs to be added to the formulation:
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(Multiple Choice)
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Correct Answer:
C
In a BIP problem,1 corresponds to a yes decision and 0 to a no decision If there are two projects under consideration,A and B,and either both projects will be undertaken or no project will be undertaken,then the following constraint needs to be added to the formulation:
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(Multiple Choice)
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Correct Answer:
D
An auxiliary binary variable is an additional binary variable that is introduced into a model to represent additional yes-or-no decisions
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Correct Answer:
False
Binary variables are best suited to be the decision variables when dealing with yes-or-no decisions
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The constraint x1 ≤ x2 in a BIP problem means that alternative 2 cannot be selected unless alternative 1 is also selected
(True/False)
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Binary integer programming problems are those where all the decision variables restricted to integer values are further restricted to be binary variables
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The Excel sensitivity report can be used to perform sensitivity analysis for integer programming problems
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A linear programming formulation is not valid for a product mix problem when there are setup costs for initiating production
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If choosing one alternative from a group excludes choosing all of the others then these alternatives are called mutually exclusive
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Binary variables are variables whose only possible values are 0 or 1
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The constraint x1 + x2 + x3? ≤ 3 in a BIP represents mutually exclusive alternatives
(True/False)
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Binary integer programming problems can answer which types of questions?
(Multiple Choice)
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A yes-or-no decision is a mutually exclusive decision if it can be yes only if a certain other yes-or-no decision is yes
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Which of the following techniques or tools can be used to perform sensitivity analysis for an integer programming problem?
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In a BIP problem with 3 mutually exclusive alternatives,x1 ,x2 ,and x3,the following constraint needs to be added to the formulation:
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In a BIP problem,1 corresponds to a yes decision and 0 to a no decision If there are 4 projects under consideration (A,B,C,and D)and at most 2 can be chosen then the following constraint needs to be added to the formulation:
(Multiple Choice)
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A BIP problem considers one yes-or-no decision at a time with the objective of choosing the best alternative
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BIP can be used in capital budgeting decisions to determine whether to invest a certain amount
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A problems where all the variables are binary variables is called a pure BIP problem
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