Future paths for integer programming and links to artificial intelligence
Computers and Operations Research - Special issue: Applications of integer programming
A Lagrangian-based heuristic for large-scale set covering problems
Mathematical Programming: Series A and B - Special issue on computational integer programming
Tabu Search
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A parallel genetic algorithm to solve the set-covering problem
Computers and Operations Research
Journal of Algorithms - Special issue: Twelfth annual ACM-SIAM symposium on discrete algorithms
A maximal covering location model in the presence of partial coverage
Computers and Operations Research
Experimental analysis of approximation algorithms for the vertex cover and set covering problems
Computers and Operations Research
A GRASP algorithm to solve the unicost set covering problem
Computers and Operations Research
A tabu-search based heuristic for the hub covering problem over incomplete hub networks
Computers and Operations Research
Computational experience with general cutting planes for the Set Covering problem
Operations Research Letters
Survey: Covering problems in facility location: A review
Computers and Industrial Engineering
Manufacturer-retailer supply chain coordination: A bi-level programming approach
Advances in Engineering Software
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In this paper we study a complementary edge covering problem (CECP) as a variant of the total edge covering problem (TECP) which has application in the area of facility location. Unlike TECP, the partial cover of an edge through vertices is allowed in CECP such that in a feasible solution the entire edge will be covered. We propose a new mixed integer linear formulation for the problem. A number of size reduction rules are proposed which speed up getting optimal solution(s). Since the CECP is NP-Hard, a solution method based on tabu search is designed to search for optimal or near-optimal solutions. Computational experiments are carried out to evaluate effectiveness of the proposed mathematical formulation and the modified tabu search algorithm. Results justify that the proposed mathematical model can solves problems with up to 40 vertices and 456 edges optimally. Our computational efforts signify that the proposed tabu search is very effective and can find high quality solutions for larger problems in reasonable amount of time.