项目拆分与资源投入调度问题的集成优化

doi:10.16183/j.cnki.jsjtu.2018.07.006

摘要/Abstract

摘要： 基于一类实际生产决策需求，提出了依赖于项目拆分的资源投入调度问题.在分析项目拆分对资源投入影响的基础上，以资源投入最小化为目标，建立了项目拆分与资源投入调度问题的集成优化模型.结合项目拆分和资源投入调度的特点，提出了包含项目拆分优化和资源投入调度优化的两阶段集成优化算法.项目拆分阶段分析可行的拆分条件，采用项目初始拆分及局部调整的方法，可以快速获得较优的项目拆分方案.资源投入调度阶段以采用作业优先级和资源能力双列表编码的遗传算法为搜索框架，充分利用迭代过程中的信息，设计一种基于概率分布的资源能力选择方法来改进资源列表，使资源能力列表加速向最优解收敛.应用PSPLIB标准算例进行数据实验，结果证明了该算法的有效性和可靠性.

关键词: 项目拆分；资源投入；集成优化；遗传算法

Abstract: Based on a class of actual production decision requirements, a resource investment scheduling problem that depends on project splitting is proposed. Based on the analysis of project splitting's impact on resource investment, the integrated optimization model of project splitting and resource investment scheduling problem is established with the aim of minimizing resource investment. A two-stage integrated optimization algorithm is proposed including project splitting optimization and resource investment scheduling optimization. The feasibility of split conditions is studied in the project splitting stage. Using an initial split and a local adjustment method, a project split program can be quickly obtained. Genetic algorithm with job priority and resource capacity dual list are used for the search frame in the resource investment scheduling stage. With full use of the information in the iterative process, a resource allocation method based on probability distribution is designed to accelerate the algorithm convergence. Results from numerical experiments using PSPLIB standard library prove the effectiveness and reliability of the algorithm.

Key words: project splitting; resource investment; integrated optimization; genetic algorithm

中图分类号:

TP 29

宗保氏，陆志强. 项目拆分与资源投入调度问题的集成优化[J]. 上海交通大学学报, 2018, 52(7): 793-800.

ZONG Baoshi,LU Zhiqiang. Integrated Optimization of Project Splitting and Resource Investment Project Scheduling[J]. Journal of Shanghai Jiao Tong University, 2018, 52(7): 793-800.

参考文献

［1］MASTOR A A. An experimental investigation and comparative evaluation of production line balancing techniques［J］. Management Science, 1970, 16(11): 728-746. ［2］MOHRING R H. Minimizing costs of resource requirements in project networks subject to a fixed completion time［J］. Operations Research, 1984, 32(1): 89-120. ［3］DEMEULEMEESTER E. Minimizing resource avai-lability costs in time-limited project networks［J］. Management Science, 1995, 41(10): 1590-1598. ［4］RANGASWAMY B. Multiple resource planning and allocation in resource-constrained project networks［D］. Colorado: University of Colorado, 1999. ［5］DREXL A, KIMMS A. Optimization guided lower and upper bounds for the resource investment problem［J］. Journal of the Operational Research Society, 2001, 52(3): 340-351. ［6］RODRIGUES S B, YAMASHITA D S. An exact algorithm for minimizing resource availability costs in project scheduling［J］. European Journal of Ope-rational Research, 2010, 206(3): 562-568. ［7］KELLEY J E. The critical-path method: Resources planning and scheduling［C］∥Industrial Scheduling. New Jersey: Prentice-Hall, 1963: 347-365. ［8］YAMASHITA D S, ARMENTANO V A, LAGUNA M. Scatter search for project scheduling with resource availability cost［J］. European Journal of Operational Research, 2006, 169(2): 623-637. ［9］SHADROKH S, KIANFAR F. A genetic algorithm for resource investment project scheduling problem, tardiness permitted with penalty［J］. European Journal of Operational Research, 2007, 181(1): 86-101. ［10］RANJBAR M, KIANFAR F, SHADROKH S. Solving the resource availability cost problem in project scheduling by path relinking and genetic algorithm［J］. Applied Mathematics and Computation, 2008, 196(2): 879-888. ［11］PETEGHEM V V, VANHOUCKE M. An artificial immune system algorithm for the resource availability cost problem［J］. Flexible Services & Manufacturing Journal, 2013, 25(1/2): 122-144. ［12］陆志强, 杨超. 基于项目网络拆分决策的多项目协同调度问题建模［J］. 上海交通大学学报, 2017, 51(2): 193-201. LU Zhiqiang, YANG Chao. Modeling of resource constrained multi-project scheduling problem based on project splitting［J］. Journal of Shanghai Jiao Tong University, 2017, 51(2): 193-201.

[1]	朱宏伟, 陆志强. 考虑人力资源排班的资源受限项目调度问题建模与优化[J]. 上海交通大学学报, 2020, 54(6): 624-635.
[2]	陆志强，石婷. 考虑资源空窗期的资源投入问题的建模与优化[J]. 上海交通大学学报, 2019, 53(5): 600-609.
[3]	綦法群，周炳海. 基于Markov过程的集束型设备预防维护策略[J]. 上海交通大学学报（自然版）, 2014, 48(10): 1461-1467.
[4]	曹卫华1,2，蔡伊青2，袁艳1,2，吴敏1,2. 烧结余热回收系统效率计算及参数动态优化[J]. 上海交通大学学报（自然版）, 2014, 48(07): 1046-1052.
[5]	任姝1, 吉小军1, 董浩然1, 蔡萍1, 韩韬1, 陈乐生2, 周鲜美2. 热量计量仪表铂电阻最优配对算法[J]. 上海交通大学学报（自然版）, 2013, 47(04): 663-666.
[6]	周苏1a, 1b, 纪光霁1a, 刘冀晨1a, 胡哲2. 基于电流调节的燃料电池发动机过氧比波动研究[J]. 上海交通大学学报（自然版）, 2012, 46(11): 1712-1717.
[7]	韩毅1a, 1b, 2, 蔡建湖1a, 1b, 李延来3, 叶许红1a, 林华珍1a, 王炜1a. 基于折扣产品供应商选择问题的随机蛙跳算法[J]. 上海交通大学学报（自然版）, 2012, 46(04): 567-572.
[8]	刘欣仪，陆志强. 作业时间依赖资源分配决策的项目调度问题建模与算法[J]. 上海交通大学学报, 2017, 51(1): 82-.
[9]	陆志强，杨超. 基于项目网络拆分决策的多项目协同调度问题建模[J]. 上海交通大学学报, 2017, 51(2): 193-.
[10]	周炳海,黎明. 考虑机器人约束加工的制造单元调度方法[J]. 上海交通大学学报, 2017, 51(10): 1214-1219.
[11]	罗华毅，王景成，杨丽雯，李肖城. 基于时差系数的城市原水需水量预测应用[J]. 上海交通大学学报, 2017, 51(10): 1260-1267.
[12]	黄伟杰，张宓，崔聪，李亮. 国际核电仪控标准规范的更新及其适用性[J]. 上海交通大学学报, 2019, 53(Sup.1): 104-108.