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<p>The study focuses on how to optimally handle production, maintenance, and inventory systems in segmented markets with deteriorating products. We determine the optimal circumstances to optimize productivity and maintenance by applying Pontryagin’s approach. Optimizing production rates and maintenance rates across segments is the first thing we solve when the market demand spans multiple destinations. Assuming the company can independently allocate inventory to each segment, we also solve a demand and inventory problem with multiple destinations and single-source production. Numerical solutions are provided using the Runge-Kutta method. These results provide useful information for improving segmented inventory strategies, especially in markets with varying demand and deteriorating goods.</p>

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AN OPTIMAL INVENTORY, PRODUCTION, AND MAINTENANCE SYSTEM FOR DECOUPLING POINTS IN A SEGMENTED MARKET WITH DETERIORATING ITEMS

  • 期刊论文

  • 发表日期：

    2025年4月11日

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  • S. Sowmica,
  • M. Suvinthra

摘要

The study focuses on how to optimally handle production, maintenance, and inventory systems in segmented markets with deteriorating products. We determine the optimal circumstances to optimize productivity and maintenance by applying Pontryagin’s approach. Optimizing production rates and maintenance rates across segments is the first thing we solve when the market demand spans multiple destinations. Assuming the company can independently allocate inventory to each segment, we also solve a demand and inventory problem with multiple destinations and single-source production. Numerical solutions are provided using the Runge-Kutta method. These results provide useful information for improving segmented inventory strategies, especially in markets with varying demand and deteriorating goods.