Consider the following sets of objects F = {1,2,3,4,5,6,7} and G = {{1,2,6}, {2,4,7}, {1,3,5}, {3,7}, {1,2,3,4}, {3,4,6, 7}}. Formulate the following well-known optimisation problems (assume any necessary parameters). a) The set covering problem b) The partitioning problem c) The set packing problem

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following sets of objects
F = {1,2,3,4,5,6,7} and G = {{1,2,6}, {2,4,7}, {1,3,5}, {3,7}, {1,2,3,4}, {3,4,6, 7} }.
Formulate the following well-known optimisation problems (assume any necessary parameters).
a) The set covering problem
b) The partitioning problem
c)
The set packing problem
Transcribed Image Text:Consider the following sets of objects F = {1,2,3,4,5,6,7} and G = {{1,2,6}, {2,4,7}, {1,3,5}, {3,7}, {1,2,3,4}, {3,4,6, 7} }. Formulate the following well-known optimisation problems (assume any necessary parameters). a) The set covering problem b) The partitioning problem c) The set packing problem
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