The balanced 2-median and 2-maxian problems on a tree

Jafar Fathali () and Mehdi Zaferanieh ()
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Jafar Fathali: Shahrood University of Technology, University Blvd.
Mehdi Zaferanieh: Hakim Sabzevari University

Journal of Combinatorial Optimization, 2023, vol. 45, issue 2, No 15, 16 pages

Abstract: Abstract This paper deals with the facility location problems on a balancing allocation approach. Two location models are proposed, which are convex combinations of the traditional p-median and p-maxian problems together with minimizing the maximum demand level allocated to any facility. An edge deletion method with time complexity $$O(n^2)$$ O ( n 2 ) is represented for the balanced 2-median problem on a tree. For the balanced 2-maxian problem, it is shown the optimal solution is two end vertices of the longest path of the tree, which can be obtained in linear time.

Keywords: Facility location; 2-maxian; 2-median; Balanced allocation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10878-023-00997-9

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