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Possible job assignments and for all such assignment, we compute its unconditioned cost and coming back the less pricy assignment.
An n cardinal n assignment job, there are n2 variables and 2n constraints.
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Solution 1: brute effect we generate n!
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How to find the optimal job assignment problem?
We generate n! possible job assignments and for each such assignment, we compute its total cost and return the less expensive assignment. Since the solution is a permutation of the n jobs, its complexity is O (n!). The optimal assignment can be found using the Hungarian algorithm.
Which is the best solution to the assignment problem?
Other Possible assignment: Cost = 9500 INR and this is the best of the 3! possible assignments. Brute force solution is to consider every possible assignment implies a complexity of Ω (n!).
Is there a solution to the channel assignment problem?
The channel assignment problem between sender and receiver can be easily transformed into Maximum Bipartite Matching (MBP) problem that can be solved by converting it into a flow network. There must be a source and sink in a flow network.
Which is the best algorithm for job assignment?
The optimal assignment can be found using the Hungarian algorithm. The Hungarian algorithm has worst case run-time complexity of O (n^3). A state space tree is a N-ary tree with property that any path from root to leaf node holds one of many solutions to given problem.
Last Update: Oct 2021
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Jatanna
28.10.2021 04:31
If the profit is more than maxprofit, then update maxprofit.
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26.10.2021 05:42
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Rhodie
23.10.2021 01:15
2500 4000 3500 4000 6000 3500 2000 4000 2500 indeed the optimal monetary value is 4000 + 3500 + 2000 = 9500.
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