Branch and bound algorithm, Data Structure & Algorithms

Assignment Help:

Suppose we have a set of N agents and a set of N tasks.Each agent can only perform exactly one task and there is a cost associated with each assignment. We would like to find out an assignment which results in the least total cost. Your task is to write a c++ program to implement the branch and bound algorithm to solve this assignment problem.

Your program should read input data from a input file named "infile.txt". The format for the input file is as follows: First line is an integer N representing the number of agents and the number of jobs. In the next N lines, each line j (1 ≤ j ≤ N) consists of N integers representing the cost of assigning agent j to each of the N tasks.

Figure 1 gives you an example of the input format. For example, the cost of assigning agent 1 to task 1, 2, 3 and 4 are 11, 12, 18 and 40 respectively.

4

11 12 18 40

14 15 13 22

11 17 19 23

17 14 20 28

Figure 1

Total cost: 61
(1,1)
(2,3)
(3,4)
 (4,2)

Figure 2

Output, to standard output, will consist of:

  • Total cost of the assignment
  • In the next N lines, each line j (1 ≤ j ≤ N) shows the task assignment for agent j in the format "(j,k)", which means agent j is assigned to task k.

Figure 2 gives you an example of the output screen for the input file in Figure 1.


Related Discussions:- Branch and bound algorithm

#, write an algorithm to search a particular node in linked list which retu...

write an algorithm to search a particular node in linked list which returns " FOUND" or "NOT FOUND" as outcome.

The search trees are abstract data types, the above title please send give ...

the above title please send give for the pdf file and word file

The space - time trade off, The best algorithm to solve a given problem is ...

The best algorithm to solve a given problem is one that requires less space in memory and takes less time to complete its execution. But in practice it is not always possible to

Bubble sort, In this sorting algorithm, multiple swapping occurs in one pas...

In this sorting algorithm, multiple swapping occurs in one pass. Smaller elements move or 'bubble' up to the top of the list, so the name given to the algorithm. In this method,

Explain the assertions in ruby, Explain the Assertions in Ruby Ruby off...

Explain the Assertions in Ruby Ruby offers no support for assertions whatever. Moreover, because it's weakly typed, Ruby doesn't even enforce rudimentary type checking on opera

Two-dimensional array, Two-dimensional array is shown in memory in followin...

Two-dimensional array is shown in memory in following two ways:  1.  Row major representation: To achieve this linear representation, the first row of the array is stored in th

Explain the method of overlapping and intersecting, Overlapping or Interse...

Overlapping or Intersecting A polygon overlaps or intersects the current background if any of its sides cuts the edges of the viewport as depicted at the top right corner of th

Avl tree rotations, AVL trees and the nodes it contains must meet strict ba...

AVL trees and the nodes it contains must meet strict balance requirements to maintain O(log n) search time. These balance restrictions are kept maintained via various rotation func

The quick sort algorithm exploit design technique, The quick sort algorithm...

The quick sort algorithm exploit design technique Divide and Conquer

Implementation of stack, Before programming a problem solution those employ...

Before programming a problem solution those employees a stack, we have to decide how to represent a stack by using the data structures which exist in our programming language. Stac

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd