The LP Relaxation contains the objective duty and constraints of the IP problem, yet drops every integer restrictions.

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In general, rounding big values the decision variables come the nearest essence value reasons fewer difficulties than rounding small values.
The equipment to the LP be safe of a minimization problem will constantly be much less than or equal to the value of the integer routine minimization problem.
If the optimal equipment to the LP relaxation trouble is integer, that is the optimal solution to the integer straight program.
In a model including fixed costs, the 0 - 1 variable guarantees that the capacity is not available unless the price has been incurred.
The product design and also market re-publishing optimization problem presented in the textbook is formulated as a 0-1 integer straight programming model.
The target of the product design and market re-superstructure optimization difficulty presented in the textbook is to pick the levels of each product attribute that will maximize the variety of sampled client preferring the brand in question.
If a trouble has only less-than-or-equal-to limit with positive coefficients because that the variables, rounding down will certainly always provide a feasible essence solution.
Dual prices cannot be supplied for integer programming sensitivity analysis because they room designed for linear programs.
Some direct programming problems have a special framework that guarantees the variables will have integer values.
Generally, the optimal systems to an integer direct program is less sensitive to the constraint coefficients 보다 is a linear program.
If the LP be safe of an creature program has a feasible solution, climate the essence program has a feasible solution
Which that the complying with is the most useful contribution of essence programming? a. Finding totality number services where fractional options would not be suitable b. Making use of 0-1 variables because that modeling adaptability c. Increased ease of systems d. Provision for solution measures for transportation and assignment problems
In a model, x1 ≥ 0 and integer, x2 ≥ 0, and also x3 = 0, 1. Which systems would no be feasible? a. X1 = 5, x2 = 3, x3 = 0 b. X1 = 4, x2 = .389, x3 = 1 c. X1 = 2, x2 = 3, x3 = .578 d. X1 = 0, x2 = 8, x3 = 0
Rounded remedies to straight programs need to be evaluated for a. Feasibility and also optimality. B. Sensitivity and duality. C. Relaxation and boundedness. D. Each of these choices are true.
Rounding the systems of one LP Relaxation to the nearest creature values gives a. A feasible yet not necessarily optimal essence solution. B. An integer systems that is optimal. C. An integer systems that might be no feasible no one optimal. D. An infeasible solution.
The systems to the LP be safe of a maximization integer linear program offers a. An top bound because that the worth of the objective function. B. A reduced bound for the worth of the objective function. C. An top bound because that the value of the decision variables d. A reduced bound because that the worth of the decision variables
The graph that a problem that requires x1 and x2 to it is in integer has actually a feasible region a. The exact same as the LP relaxation. B. The dots. C. The horizontal stripes. D. Of vertical stripes.
The 0-1 variables in the fixed cost models correspond to a. A process for which a fixed cost occurs. B. The variety of products produced. C. The number of units produced. D. The actual value of the addressed cost.
Sensitivity evaluation for integer linear programming a. Have the right to be noted only by computer. B. Has precisely the same interpretation together that from direct programming. C. Go not have the same interpretation and also should it is in disregarded. D. Is most advantageous for 0 - 1 models.
Let x1 and also x2 be 0 - 1 variables who values show whether projects 1 and also 2 are not done or are done. Which answer listed below indicates that task 2 have the right to be done just if task 1 is done? a. X1 + x2 = 1 b. X1 + x2 = 2 c. X1 − x2 ≤ 0 d. X1 − x2 ≥ 0
Let x1 , x2 , and also x3 it is in 0 - 1 variables who values show whether the tasks are not done (0) or room done (1). I beg your pardon answer below indicates the at the very least two that the projects must be done? a. X1 + x2 + x3 ≥ 2 b. X1 + x2 + x3 ≤ 2 c. X1 + x2 + x3 = 2 d. X1 − x2 = 0
If the acceptance of job A is conditional on the accept of task B, and also vice versa, the ideal constraint to usage is a a. Multiple-choice constraint. B. K the end of n options constraint. C. Mutually exclusive constraint. D. Corequisite constraint.
In one all-integer direct program, a. Every objective duty coefficients must be integer. B. All right-hand next values must be integer. C. All variables must be integer. D. Every objective function coefficients and right-hand next values must be integer.
To carry out sensitivity analysis involving one integer straight program, that is encourage to a. Use the twin prices really cautiously. B. Make multiple computer runs. C. Usage the same strategy as you would for a straight program. D. Usage LP relaxation.
Modeling a fixed expense problem as an integer straight program calls for a. Adding the fixed expenses to the corresponding variable expenses in the objective function. B. Utilizing 0-1 variables. C. Utilizing multiple-choice constraints. D. Utilizing LP relaxation.
Most handy applications of integer direct programming indicate a. Only 0-1 essence variables and also not plain integer variables. B. Mainly ordinary creature variables and also a small variety of 0-1 integer variables. C. Just ordinary integer variables. D. A near equal variety of ordinary integer variables and 0-1 essence variables.

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Assuming W1, W2 and also W3 space 0 -1 creature variables, the constraint W1 + W2 + W3 a. Multiple-choice constraint. B. Mutually exclusive constraint. C. K out of n alternatives constraint. D. Corequisite constraint.
Which the the following applications modeled in the textbook does not involve only 0 - 1 essence variables? a. Supply chain design b. Financial institution location c. Capital budgeting d. Product design and also market re-superstructure optimization
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