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Robust multicovers with budgeted uncertainty

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  • Krumke, Sven O.
  • Schmidt, Eva
  • Streicher, Manuel

Abstract

The Min-q-Multiset Multicover problem presented in this paper is a special version of the Multiset Multicover problem. For a fixed positive integer q, we are given a finite ground set J, an integral demand for each element in J and a collection of subsets of J. The task is to choose sets of the collection (multiple choices are allowed) such that each element in J is covered at least as many times as specified by the demand of the element. In contrast to Multiset Multicover, in Min-q-Multiset Multicover each of the chosen subsets may only cover up to q of its elements with multiple choices being allowed.

Suggested Citation

  • Krumke, Sven O. & Schmidt, Eva & Streicher, Manuel, 2019. "Robust multicovers with budgeted uncertainty," European Journal of Operational Research, Elsevier, vol. 274(3), pages 845-857.
    • Handle: RePEc:eee:ejores:v:274:y:2019:i:3:p:845-857
    DOI: 10.1016/j.ejor.2018.11.049
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    References listed on IDEAS

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    1. Büsing, Christina & Comis, Martin & Schmidt, Eva & Streicher, Manuel, 2021. "Robust strategic planning for mobile medical units with steerable and unsteerable demands," European Journal of Operational Research, Elsevier, vol. 295(1), pages 34-50.
    2. Wang, Xin & Jiang, Ruiwei & Qi, Mingyao, 2023. "A robust optimization problem for drone-based equitable pandemic vaccine distribution with uncertain supply," Omega, Elsevier, vol. 119(C).

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