<?xml version="1.1" encoding="utf-8"?>
<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">ASDS</journal-id><journal-title-group><journal-title>Applied Statistics and Data Science</journal-title></journal-title-group><issn>3066-8433</issn><eissn>3066-8441</eissn><publisher><publisher-name>Art and Technology</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.61369/ASDS.2026090001</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>双并行批处理机环境下生产与配送联合调度</title><url>https://artdesignp.com/journal/ASDS/2/9/10.61369/ASDS.2026090001</url><author>李潇,郑瑞平</author><pub-date pub-type="publication-year"><year>2026</year></pub-date><volume>2</volume><issue>9</issue><history><date date-type="pub"><published-time>2026-09-20</published-time></date></history><abstract>针对制造企业中生产加工与配送运输之间存在的协同优化问题，研究双并行批处理环境下生产&amp;mdash; 配送联合调度问题。考虑工件尺寸、设备容量以及配送容量等实际约束，将工件分配至两台并行批处理设备进行加工，并在加工完成后统一组织配送。以系统总成本最小为目标，建立双并行批处理生产&amp;mdash; 配送联合调度混合整数规划模型。利用 CPLEXJava API 对模型进行求解，并通过实例分析验证模型有效性。进一步对配送成本灵敏度分析，研究不同成本下的调度规律。结果表明：所建立模型具有较好的可行性与应用价值；通过统筹生产与配送两阶段决策，有助于降低系统整体运营成本，提高企业物流运作效率。</abstract><keywords>联合调度,并行机,批处理,分批配送</keywords></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>[1] 程八一, 李明. 面向生产- 库存- 配送的联合调度问题及蚁群优化算法[J]. 机械工程学报,2015,51(12):202-212.[2] 罗梦文, 王恺. 考虑车辆路径的多工厂生产与配送联合调度[J]. 运筹与管理，2024,33(11):51-57.[3] 刘蓉, 周林, 王朝, 等. 带并行批处理机的柔性作业车间调度问题研究[J]. 武汉理工大学学报( 信息与管理工程版),2020,42(1):36-43.[4] 程八一, 黄小曼, 杨艳艳, 等. 差异分批模式下的联合成本优化问题及算法[J]. 管理科学学报,2016,19(8):102-112.[5]Potts C N, Kovalyov M Y. Scheduling with batching: a review[J].European Journal of Operational Research,2000,120(2):228-249.[6]Boysen N, Fliedner M, Scholl A. Scheduling with batching: a survey[J].International Journal of Production Economics,2009,120(1):1-13.[7]Pinedo M. Scheduling: Theory, Algorithms, and Systems[M].New York: Springer,2016.[8]JOO C M, KIM B S. Rule-based meta-heuristics for integrated scheduling of unrelated parallel machines, batches, and heterogeneous delivery trucks[J].Applied Soft Computing, 2017,53:457-476.[9]Marinoni T.,Montagna J. M.,Fumero Y.A New Integrated Approach for Solving Batching, Production Scheduling and Delivery Problems in Single-Stage BatchEnvironments[J].Computers &amp;amp; Chemical Engineering,2024,188:108753.[10]Chen Z L.Integrated production and distribution scheduling: a review[J].Annals of Operations Research,2010,181(1):463-493.[11]Geurtsen M,Adan J. Ak&amp;ccedil;ay A.Integrated Maintenance and Production Scheduling for Unrelated Parallel Machines with Setup Times[J].Flexible Services and Manufacturing Journal,2024,36:1046&amp;ndash;1079.[12]Allahverdi A.A survey of scheduling problems with setup times or costs[J].European Journal of Operational Research,2015,246(2):345-378.[13]Liang, T, Zhou, L. &amp;amp; Jiang, Z.Integrated scheduling of production and material delivery for the intelligent manufacturing system[J].International Journal of Production Research,2025, 63(3), 882&amp;ndash;903.[14]Chen Z L.Online Integrated Production and Distribution Scheduling: Review and Extensions[J].INFORMS Journal on Computing,2024,37(2):360&amp;ndash;380.[15]Ullrich C A.Integrated machine scheduling and vehicle routing with time windows[J].European Journal of Operational Research,2013,227(1):152-165.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
