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精确动态规划算法求解绿色单机调度问题
引用本文:杨嫒,钱斌,胡蓉,祝晓红,向凤红.精确动态规划算法求解绿色单机调度问题[J].控制与决策,2021,36(8):1891-1900.
作者姓名:杨嫒  钱斌  胡蓉  祝晓红  向凤红
作者单位:昆明理工大学信息工程与自动化学院,昆明650500;昆明理工大学信息工程与自动化学院,昆明650500;昆明理工大学机电工程学院,昆明650500
基金项目:国家自然科学基金项目(51665025,61963022).
摘    要:针对一类生产实际中广泛存在的绿色单机调度问题,即带释放时间的低碳单机调度问题,提出一种精确动态规划算法(exact dynamic programming algorithm,EDPA)进行求解,优化的主要和次要目标分别为最小化最大延迟时间和总碳排放量.首先,建立问题的排序模型,该模型可用三元法表示为$1|agr(r_j,d_j)|TCE/T_{\max

关 键 词:单机调度问题  最大延迟时间  碳排放  动态规划

Exact dynamic programming algorithm for green single machine scheduling problem
YANG Ai,QIAN Bin,HU Rong,ZHU Xiao-hong,XIANG Feng-hong.Exact dynamic programming algorithm for green single machine scheduling problem[J].Control and Decision,2021,36(8):1891-1900.
Authors:YANG Ai  QIAN Bin  HU Rong  ZHU Xiao-hong  XIANG Feng-hong
Affiliation:School of Information Engineering and Automation,Kunming University of Science and Technology,Kunming 650500,China;School of Information Engineering and Automation,Kunming University of Science and Technology,Kunming 650500,China;School of Mechanical and Electronic Engineering,Kunming University of Science and Technology,Kunming 650500,China
Abstract:An exact dynamic programming algorithm(EDPA) is proposed for a kind of green single-machine scheduling problems, i.e., the low-carbon single-machine scheduling problem with release times and due dates. The first and second optimization objectives are the maximum tardiness and the total carbon emissions, respectively. Firstly, the permutation-based model of the considered problem is built. This model can be described by triplet$1|agr(r_j,d_j)|TCE/T_{\max
Keywords:
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