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August 14, 2026Operations ResearchOpen Access

New Approximation Guarantees for the Inventory Staggering Problem

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Authors

NANoga AlonDSDanny Segev

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Overview

Algorithmic analysis demonstrates improved approximation guarantees for inventory staggering across periodic replenishment policies, indicating robust frameworks for minimizing peak warehouse storage.

Key Points

  • To resolve foundational computational questions and establish enhanced approximation algorithms for minimizing peak storage requirements under periodic inventory replenishment policies.
  • Applied combinatorics and number-theoretic frameworks to model multi-item periodic replenishment synchronization.
  • Constructed polynomial-time approximation schemes (PTAS) across diverse structural settings, including nested and pairwise coprime replenishment intervals.
  • Established polynomial-time approximation schemes for multiple inventory staggering problem variants, resolving several longstanding computational open questions.
  • Proved theoretical impossibility results demonstrating that localized, groupwise synchronization heuristics cannot guarantee global storage optimality.

Cite This Study

Alon et al. (2026) studied this question.

synapsesocial.com/papers/6a7ec69fb70b84ec8b912be8https://doi.org/10.1287/opre.2025.2047
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