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Exact Algorithms for Integrated Facility Location and Production Planning Problems

机译：集成设施选址和生产计划问题的精确算法

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摘要

We consider a class of facility location problems with a time dimension, which requires assigning every customer to a supply facility in each of a finite number of periods. Each facility must meet all assigned customer demand in every period at a minimum cost via its production and inventory decisions. We provide exact branch-and-price algorithms for this class of problems and several important variants. The corresponding pricing problem takes the form of an interesting class of production planning and order selection problems. This problem class requires selecting a set of orders that maximizes profit, defined as the revenue from selected orders minus production-planning-related costs incurred in fulfilling the selected orders. We provide polynomial-time dynamic programming algorithms for this class of pricing problems, as well as for generalizations thereof. Computational testing indicates the advantage of our branch-and-price algorithm over various approaches that use commercial software packages. These tests also highlight the significant cost savings possible from integrating location with production and inventory decisions and demonstrate that the problem is rather insensitive to forecast errors associated with the demand streams.
机译：我们考虑一类具有时间维度的设施位置问题，这需要在有限的每个期间内将每个客户分配给一个供应设施。每个工厂都必须通过其生产和库存决策，以最小的成本满足每个时期所有已分配的客户需求。我们为此类问题和几个重要的变体提供了精确的分支价格算法。相应的定价问题采取有趣的生产计划和订单选择问题的形式。此问题类别要求选择一组使利润最大化的订单，定义为所选订单的收入减去为履行所选订单而产生的与生产计划相关的成本。我们为这类定价问题及其一般化提供多项式时间动态规划算法。计算测试表明，与使用商业软件包的各种方法相比，我们的价格计算算法更具优势。这些测试还强调了通过将位置与生产和库存决策集成在一起可以节省大量成本，并表明该问题对与需求流相关的预测错误相当不敏感。

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  • 来源
    《Naval Research Logistics》 |2011年第5期|p.419-436|共18页
  • 作者

    Thomas C. Sharkey; Joseph Geunes; H. Edwin Romeijn; Zuo-Jun Max Shen;

  • 作者单位

    Department of Industrial and Systems Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180;

    Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida 32611-6595;

    Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2117;

    Department of Industrial Engineering and Operations Research, University of California, Berkeley, California 94720-1777;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    facility location; production planning; branch and price; order selection;

    机译：设施位置;计划生产;分支机构和价格;订单选择;

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