An Approximation Algorithm for the k-Connected Location Set Cover Problem with Color-Spanning Constraint - Advances in Production Management Systems. Artificial Intelligence for Sustainable and Resilient Production Systems Access content directly
Conference Papers Year : 2021

An Approximation Algorithm for the k-Connected Location Set Cover Problem with Color-Spanning Constraint

Yin Wang
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  • PersonId : 1235661
Yinfeng Xu
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  • PersonId : 1235662

Abstract

Motivated by the need for a more sensitive server assignment strategy in supply-chain network management, our total cost comprises coverage area (i.e., disk) sizes and “moving” service modes that facilitate multiple and flexible demand fulfillment. Selection of k color-spanning centers to achieve cost minimization is the aim of our k-Connected Location Set Cover Problem with Color-spanning Constraint (k-CLSCPCC). The cost reflects the sum of the radii of the color-spanning disks plus the cost of connecting to disk regions. The farthest-color Voronoi diagram(FCVD) helps to assign an individual radius to each selected color-spanning center with aims to minimal cost. The main idea behind our greedy algorithm, which integrates the ideas of the classical minimum-power coverage problem and k-maximum coverage problem, is to minimize the measurable gap between the cost of connecting all nodes and the reduced cost of coverage with k disks. Our proposed algorithm can approximate a 3.368-factor solution within $$O(n^2m\log m)$$O(n2mlogm) running time, equal to time cost of generating FCVD, where n is the number of input nodes and m is the number of demand types.
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hal-04022156 , version 1 (09-03-2023)

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Yin Wang, Yinfeng Xu. An Approximation Algorithm for the k-Connected Location Set Cover Problem with Color-Spanning Constraint. IFIP International Conference on Advances in Production Management Systems (APMS), Sep 2021, Nantes, France. pp.317-325, ⟨10.1007/978-3-030-85906-0_36⟩. ⟨hal-04022156⟩
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