1) Use the Breadth-First-Search with Branch-and-Bound Pruning algorithm for the 0–1 Knapsack problem to maximize the profit for the following problem instance. Show the actions step by step.
2) Use the Best-First Search with Branch-and-Bound Pruning algorithm for the 0–1 Knapsack problem to maximize the profit for the following problem instance. Show the actions step by step.
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1) Use the Breadth-First-Search with Branch-and-Bound Pruning
algorithm for the 0–1 Knapsack problem to maximize the...
Use the Best-First Search with Branch-and-Bound Pruning algorithm for the 0–1 Knapsack problem to maximize the...
Use the Best-First Search with Branch-and-Bound Pruning
algorithm for the 0–1 Knapsack problem to maximize the profit for
the following problem instance. Show the actions step by step.
i P 1 $20 2 10 2 $30 5 6 3 $35 75 4 $12 3 4 5 $3 13
Section 6.1 1. Use Algorithm 6.1 (The Breadth-First Search with Branch-and-Bound Pruning algorithm for the 0-1...
Section 6.1 1. Use Algorithm 6.1 (The Breadth-First Search with Branch-and-Bound Pruning algorithm for the 0-1 Knapsack problem) to maximize the profit for the following problem instance. Show the actions step by step i P t0 1 $20 2 10 2 830 56 3 835 75 4 812 3 4 5 83 1 3 W= 13
(2) (15 points) Use the Best-First Search with Branch-and-Bound Pruning algorithm for the 0-1 Knapsack problem...
(2) (15 points) Use the Best-First Search with Branch-and-Bound Pruning algorithm for the 0-1 Knapsack problem to maximize the profit for the following problem instance. Show the actions step by step. Pi wi 1 $20 2 10 2 $30 5 6 3 S35 7 5 4 $12 3 4 5 $3 3 wi W 13
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first search with branch and bound 3)...
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first
search with branch and bound 3) Best fit search with branch
bound.
Find out maxprofit and solution vector X=(x1,x2,x3,x4,x5).
You need to show how you solve it using pruned state space
tree.
plw $20* $30» $35.» $12* $3. pi/wi- 10» 60 5» 4° 30 2» 5* 2» 30 4° 30 W=12(Knapsack capacity)-
Local Search Knapsack 0-1
Design a local search algorithm for the 0-1 knapsack problem. Assume there are n items x1 ... xn each with weight wi and value vi. The knapsack can have at most one of each item and the total weight cannot exceed W. You want to maximize the total value in the knapsack.Question 1: (7 points) Show the psuedocode/explanation for your algorithm.Question 2. (3 points) Is it guaranteed to find an optimal solution? Justify your answer.
Minimum Spanning Trees Networks & Graphs 1. Create a spanning tree using the breadth-first search algorithm....
Minimum Spanning Trees Networks & Graphs 1. Create a spanning tree using the breadth-first search algorithm. Start at A (i..0) and label cach vertex with the correct number after A and show your path. How many edges were used to create a spanning tree? 2. Create a spanning tree using the breadth-first search algorithm. Start at G (ie. O) and label each vertex with the correct number after A and show your path How many edges were used to create...
8. EXTRA CREDIT (15 points] Solve the ILP problem below using the branch-and- bound method with...
8. EXTRA CREDIT (15 points] Solve the ILP problem below using the branch-and- bound method with LP relaxation, as illustrated on Slides 27-31 of the "ILP: Part II” lecture notes. Show your resulting search tree. You can use MATLAB to solve LP- relaxed subproblems as needed, or you can solve them graphically by hand. maximize subject to 17X1 10x1 + + + 12x2 7x2 X 1 X2 VI VAL 40 5 0 integers. X1, X2 X1, X2 10/3. Branch Hint:...
Consider the following directed graph for each of the problems: 1. Perform a breadth-first search on...
Consider the following directed graph for each of the
problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
2. Perform a depth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
3. Remove all the...
Will rate. Must show all work (30 points. Use the MIP branch-and-bound algorithm to solve the...
Will rate. Must show all work
(30 points. Use the MIP branch-and-bound algorithm to solve the following problem interactively. Use the graphical method to solver for each LP relaxation problem. Minimize Z = -x - y subject to 5x + 2y = 60 3x + 4y = 45 and X1 2 0,x2 > 0 integers. Show the graph for each LP relaxation problem.
1. Apply the dynamic programming algorithm discussed in class to solve the knapsack problem. (10 points)...
1. Apply the dynamic programming algorithm discussed in class to solve the knapsack problem. (10 points) a. Show the completed table. b. Which items are included in the final configuration of the knapsack? c. What is the maximum value that can fit in the knapsack using a configuration of these items? item 1 2. 3 4 weight 3 2 value $25 $20 $15 1 capacity W = 6. 4 5 $40 $50 5
Use the Best-First Search with Branch-and-Bound Pruning
algorithm for the 0–1 Knapsack problem to maximize the profit for
the following problem instance. Show the actions step by step.
i P 1 $20 2 10 2 $30 5 6 3 $35 75 4 $12 3 4 5 $3 13
Section 6.1 1. Use Algorithm 6.1 (The Breadth-First Search with Branch-and-Bound Pruning algorithm for the 0-1 Knapsack problem) to maximize the profit for the following problem instance. Show the actions step by step i P t0 1 $20 2 10 2 830 56 3 835 75 4 812 3 4 5 83 1 3 W= 13
(2) (15 points) Use the Best-First Search with Branch-and-Bound Pruning algorithm for the 0-1 Knapsack problem to maximize the profit for the following problem instance. Show the actions step by step. Pi wi 1 $20 2 10 2 $30 5 6 3 S35 7 5 4 $12 3 4 5 $3 3 wi W 13
Solve 01 Knapsack problem using 1) Backtracking 2) Breath first
search with branch and bound 3) Best fit search with branch
bound.
Find out maxprofit and solution vector X=(x1,x2,x3,x4,x5).
You need to show how you solve it using pruned state space
tree.
plw $20* $30» $35.» $12* $3. pi/wi- 10» 60 5» 4° 30 2» 5* 2» 30 4° 30 W=12(Knapsack capacity)-
Minimum Spanning Trees Networks & Graphs 1. Create a spanning tree using the breadth-first search algorithm. Start at A (i..0) and label cach vertex with the correct number after A and show your path. How many edges were used to create a spanning tree? 2. Create a spanning tree using the breadth-first search algorithm. Start at G (ie. O) and label each vertex with the correct number after A and show your path How many edges were used to create...
8. EXTRA CREDIT (15 points] Solve the ILP problem below using the branch-and- bound method with LP relaxation, as illustrated on Slides 27-31 of the "ILP: Part II” lecture notes. Show your resulting search tree. You can use MATLAB to solve LP- relaxed subproblems as needed, or you can solve them graphically by hand. maximize subject to 17X1 10x1 + + + 12x2 7x2 X 1 X2 VI VAL 40 5 0 integers. X1, X2 X1, X2 10/3. Branch Hint:...
Consider the following directed graph for each of the
problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
2. Perform a depth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
3. Remove all the...
Will rate. Must show all work
(30 points. Use the MIP branch-and-bound algorithm to solve the following problem interactively. Use the graphical method to solver for each LP relaxation problem. Minimize Z = -x - y subject to 5x + 2y = 60 3x + 4y = 45 and X1 2 0,x2 > 0 integers. Show the graph for each LP relaxation problem.
1. Apply the dynamic programming algorithm discussed in class to solve the knapsack problem. (10 points) a. Show the completed table. b. Which items are included in the final configuration of the knapsack? c. What is the maximum value that can fit in the knapsack using a configuration of these items? item 1 2. 3 4 weight 3 2 value $25 $20 $15 1 capacity W = 6. 4 5 $40 $50 5
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