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Abstract <p>The paper is devoted to a quantum-inspired approach to multi-period production planning with shelf-life constraints. The baseline model is a Mixed-Integer Linear Program (MILP) with demand satisfaction, capacity/compatibility of the plants and no-expiry conditions. We reduce the constrained MILP to a Quadratic Unconstrained Binary Optimization (QUBO) problem using a penalty formulation, slack variables, and binarization of integers. Resulting QUBOs are solved by a simulated Coherent Ising Machine (SimCIM) via the QBoard platform.</p>

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Binary Quadratic Modelling of Multi-Period Production

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • E. M. Grishin,
  • V. S. Pavlov,
  • A. E. Vorobyev,
  • G. V. Salakhov,
  • A. K. Fedorov

摘要

Abstract

The paper is devoted to a quantum-inspired approach to multi-period production planning with shelf-life constraints. The baseline model is a Mixed-Integer Linear Program (MILP) with demand satisfaction, capacity/compatibility of the plants and no-expiry conditions. We reduce the constrained MILP to a Quadratic Unconstrained Binary Optimization (QUBO) problem using a penalty formulation, slack variables, and binarization of integers. Resulting QUBOs are solved by a simulated Coherent Ising Machine (SimCIM) via the QBoard platform.