Allocating costs in set covering problems
نویسندگان
چکیده
منابع مشابه
Set Covering Problems
Fulkerson et al. have given two examples of set covering problems that are empirically difficult to solve. They arise from Steiner triple systems and the larger problem, which has a constraint matrix of size 330 × 45 has only recently been solved. In this note, we show that the Steiner triple systems do indeed give rise to a series of problems that are probably hard to solve by implicit enumera...
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where A is a mxn matrix of zeroes and ones, e = (1,...,1) is a vector of m ones and c is a vector of n (arbitrary) rational components. This pure 0-1 linear programming problem is called the set covering problem. When the inequalities are replaced by equations the problem is called the set partitioning problem, and when all of the ≥ constraints are replaced by ≤ constraints, the problem is call...
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ژورنال
عنوان ژورنال: European Journal of Operational Research
سال: 2020
ISSN: 0377-2217
DOI: 10.1016/j.ejor.2020.01.031