English

Improved Approximation Guarantees for Joint Replenishment in Continuous Time

Data Structures and Algorithms 2024-08-13 v1 Optimization and Control

Abstract

The primary objective of this work is to revisit and revitalize one of the most fundamental models in deterministic inventory management, the continuous-time joint replenishment problem. Our main contribution consists of resolving several long-standing open questions in this context. For most of these questions, we obtain the first quantitative improvement over power-of-22 policies and their nearby derivatives, which have been state-of-the-art in terms of provable performance guarantees since the mid-80's.

Cite

@article{arxiv.2408.05443,
  title  = {Improved Approximation Guarantees for Joint Replenishment in Continuous Time},
  author = {Danny Segev},
  journal= {arXiv preprint arXiv:2408.05443},
  year   = {2024}
}
R2 v1 2026-06-28T18:09:15.168Z