A feasible solution to an integer programming problem is ensured by rounding down non-integer solution values.Group of answer choicesTrueFalse
Question
A feasible solution to an integer programming problem is ensured by rounding down non-integer solution values.Group of answer choicesTrueFalse
Solution
False
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Solving an integer programming problem by rounding off answers obtained by solving it as a linear programming problem (using Simplex LP), we find thatGroup of answer choicesThe values of decision variables obtained by rounding off are always very close to the optimal values.The value of the objective function for a maximization problem will likely be less than that for the Simplex LP solution.The value of the objective function for a minimization problem will likely be less than that for the Simplex LP solution.All constraints are satisfied exactly.
One approach to solving integer linear programming problems is to ignore the integer constraint and solve the problem with continuous decision variables. This is referred to as:Group of answer choicesQuick solution methodLP satisfyingLP relaxationLP approximation
Modelling a fixed cost problem as an integer linear program requiresGroup of answer choicesadding the fixed costs in the objective function.using 0-1 variables.using multiple-choice constraints.using LP Relaxation.
What kind of solution do you obtain when you solve a relaxation of an integer optimization problem?Always an integer solutionA solution without considering integer constraintsA solution without any constraintsAlways a zero-one solution
Integer linear programs provide substantial modelling flexibility and are harder to solve than linear programs.Group of answer choicesTrueFalse
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