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 formulatio O A+Bs1. O AB-1. O ASB. OBSA. O None of the choices is correct.
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- The price of each item in a store is nonnegative. The store manager is only interested in rules of certain forms, using the constraints given below. For each of the following cases, identify the kinds of constraint they represent and briefly discuss how to mine such association rules using constraint-based pattern mining. Where the average price of all the items is between $100 and $500The price of each item in a store is nonnegative. The store manager is only interested in rules of certain forms, using the constraints given below. For each of the following cases, identify the kinds of constraint they represent and briefly discuss how to mine such association rules using constraint-based pattern mining. Containing one free item and other items whose sum of the prices is at least $200Based on the following sensitivity report, what would be the impact of changing the constraint right-hand side for Resource_A to 72 and, at the same time, changing the constraint right-hand side for Resource_C to 530? Applying the 100% rule, ________________ because the total change in the constraint right-hand sides ________________ 100%. first blank choices: A. the shadow price no longer is valid B. the shadow price remains valid second blank choices: A. does not exceeed B. does exceed Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 70 $H$10 Resource_B 525 0 800 1E+30 310 $H$11 Resource_C 700 1.75 700 330 140
- Question: State the constraints of the problem.Review the sentences below: (a) Constraint Satisfaction Problems are improvements to traditional Search problems (blind and informed search); (b) Solving a constraint satisfaction problem requires assigning all or part of the values to all variables in the problem; (c) The consistency of a problem can be checked using logical operators and the order in which the operations are arranged.choose the correct questiona ( ) all are correct b ( ) A and B are correct c ( ) A and C are correct d ( ) B and C are correct e ( ) none is correct f ( ) Other:_____________________1) Which of the following is/are non-binding constraint/s? a) (1/2) R+(1/3) P≤300 b) R+(3/2) P≤900 c) None of the other choices d) (1/8) R+(1/4) P≤100 2) Which of the following is/are binding constraint/s? a) R+(3/2) P≤900 b) (1/2) R+(1/3) P≤300 c) (1/8) R+(1/4) P≤100 d) None of the other choices 3) What is the range of the coefficient, c1, of the decision variable R that will make the optimal solution remain unchanged? a) 10/3≤c1≤10 b) 4≤c1≤12 c) 13/3≤c1≤7 d) 13/2≤c1≤19/2
- What are the benefits of formulating a problem as a Constraint Satisfaction Problems (CSP)? Show with an example on how the "job-shop scheduling' problem can be formulated as CSP - clearly specify all the assumptions that you have made for it. [4+6]Problem 1: Consider the following knowledge base.If a student's CGPA is < 2.00, the student is on academic probation. All students who are on academic probation must meet their academic advisors before they can register. There is only one academic advisor for MBA students, Professor. Rose is an MBA student and Rose has a CGPA < 2.00. Rose must register for the semester. Answer the following questions. Represent the above knowledge base using FOL. Use the resolution algorithm to show that Rose must meet Professor.The sub-problem that you will investigate further, and why you chose this over the other sub-problem. At least two realistic criteria for the chosen sub-problem and an explanation as to why these criteria should be met for the sub-problem to be considered resolved. At least two constraints for the chosen sub-problem that have been known to limit solutions to the sub-problem and an explanation of why these constraints exist. Prioritization of the criteria and constraints and an explanation supporting the decisions made based on research. There should be only one priority list that ranks the criteria and constraints together.
- Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 −7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 If the right-hand side of Resource B changes to 10, then: Multiple Choice the original solution remains optimal. the problem must be resolved to find the optimal solution. the shadow price is valid. the shadow price is not valid. None of the choices is correct.Select the components or elements of the following model: System of linear questions Select one or more: a) variables b) koefficients of variables c) values of right hand side d) constraints e) cost function f) multiple cost functions g) non negativity constraints h) supliers i) customers j) route evaluations k) places l) capacity constraints m) requirements constraints n) capacities o) demands p) variants q) criteria r) criteria matrix s) criteria preferences t) players u) strategy v) payoffs w) decisions x) decision-maker y) nature z) irational player aa) states of nature bb) probability of states of naturevariable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 If the coefficient of Activity 1 in the objective function changes to $10, then: Multiple Choice the original solution remains optimal. the problem must be resolved to find the optimal solution. the shadow price is valid. the shadow price is not valid. None of the above.