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The Periodic Joint Replenishment Problem Is Strongly 𝒩𝒫-Hard

Tamar Cohen-Hillel () and Liron Yedidsion ()
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Tamar Cohen-Hillel: Operations Research Center, Massachusetts Institute of Technology–Hillel, Cambridge, Massachusetts 02139
Liron Yedidsion: Faculty of Industrial Engineering and Management, Technion–Israel Institute of Technology, Haifa 3200003, Israel

Mathematics of Operations Research, 2018, vol. 43, issue 4, 1269-1289

Abstract: In this paper, we study the long-standing open question regarding the computational complexity of one of the core problems in supply chains management, the periodic joint replenishment problem. This problem has received a lot of attention over the years, and many heuristic and approximation algorithms have been suggested. However, in spite of the vast effort, the complexity of the problem remains unresolved. In this paper, we provide a proof that the problem is indeed strongly 𝒩𝒫-hard.

Keywords: computational complexity; joint replenishment problem; supply chain management; twin primes (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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