Chinese Journal of Management Science ›› 2026, Vol. 34 ›› Issue (6): 187-201.doi: 10.16381/j.cnki.issn1003-207x.2024.1406
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Songqing Guo, Zhe Xu(
), Yixuan Su
Received:2024-08-16
Revised:2024-12-10
Online:2026-06-25
Published:2026-05-22
Contact:
Zhe Xu
E-mail:xuzhebuaa@163.com
CLC Number:
Songqing Guo,Zhe Xu,Yixuan Su. Optimization of Multi Skill Project Group Scheduling Based on Global Idle Resource Reallocation[J]. Chinese Journal of Management Science, 2026, 34(6): 187-201.
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| 现有研究及局限性 | 本文的研究要点 | |||
|---|---|---|---|---|
| 调度问题 | 问题描述 | 研究要点 | 局限性 | |
项目群调度 问题 | 问题假设 | 将子项目视为活动[ | 未考虑内部调度 | 考虑子项目内部调度及子项目成本目标 |
| 仅考虑子项目内部调度[ | 未考虑局部利益 | |||
| 优化目标 | 时间类[ | 仅考虑项目群整体目标,未考虑子项目局部目标 | 同时考虑项目群整体目标与各子项目局部目标,即以项目群总工期与各子项目成本为优化目标 | |
| 工期-费用优化[ | ||||
| 多技能多项目调度问题 | 问题假设 | 无局部资源约束[ | 未考虑局部资源数量限制 | 局部资源限制下同时考虑全局资源技能水平与局部资源投入数量对活动工期的影响 |
| 仅考虑多技能资源技能水平对活动工期影响[ | 未考虑局部资源投入对活动工期的影响 | |||
"
活动 编号 | 活动工期 | 全局资源成本 | 局部资源成本 | 活动总成本 | ||||
|---|---|---|---|---|---|---|---|---|
| OUFGRRS | UFGRRS | OUFGRRS | UFGRRS | OUFGRRS | UFGRRS | OUFGRRS | UFGRRS | |
| 合计 | - | - | 453 | 376 | 367 | 343 | 820 | 719 |
| 3-0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 3-1 | 6 | 6 | 18 | 12 | 0 | 0 | 18 | 12 |
| 3-2 | 1 | 1 | 3 | 4 | 9 | 9 | 12 | 13 |
| 3-3 | 12 | 12 | 132 | 132 | 66 | 60 | 198 | 192 |
| 3-4 | 11 | 8 | 66 | 32 | 72 | 72 | 138 | 104 |
| 3-5 | 2 | 2 | 20 | 14 | 22 | 22 | 42 | 36 |
| 3-6 | 4 | 3 | 24 | 18 | 28 | 24 | 52 | 42 |
| 3-7 | 9 | 9 | 54 | 54 | 132 | 126 | 186 | 180 |
| 3-8 | 10 | 8 | 90 | 72 | 30 | 24 | 120 | 96 |
| 3-9 | 10 | 10 | 30 | 30 | 0 | 0 | 30 | 30 |
| 3-10 | 4 | 2 | 16 | 8 | 8 | 6 | 24 | 14 |
| 3-11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
"
| 算法 | 算法阶段 | 参数 | 参数水平 | 是否显著 | 数值 |
|---|---|---|---|---|---|
| TSABMPGA | 全局 | 子种群数量 | 2、3、4 | 是 | 2 |
| 子种群大小 | 25、50、75 | 是 | 50 | ||
| 交叉概率 | 0.5、0.7、0.9 | 是 | 0.9 | ||
| 变异概率 | 0.5、0.7、0.9 | 否 | 0.5 | ||
| 局部 | 种群大小 | 25、50、75 | 是 | 50 | |
| 交叉概率 | 0.5、0.7、0.9 | 是 | 0.9 | ||
| 变异概率 | 0.5、0.7、0.9 | 否 | 0.5 | ||
| TSABSA | 全局 | 初始温度 | 50、100、200 | 是 | 100 |
| 温度衰减系数 | 0.9、0.925、0.95 | 否 | 0.9 | ||
| 马尔科夫链长度 | 100、150、200 | 是 | 200 | ||
| 变异概率 | 0.5、0.7、0.9 | 是 | 0.9 | ||
| 局部 | 初始温度 | 5、7.5、10 | 是 | 10 | |
| 温度衰减系数 | 0.7、0.75、0.8 | 是 | 0.8 | ||
| 马尔科夫链长度 | 50、75、100 | 否 | 100 | ||
| 变异概率 | 0.5、0.7、0.9 | 是 | 0.9 | ||
| TSABPSO | 全局 | 惯性权重 | 0.2、0.35、0.5 | 是 | 0.5 |
| 自我学习因子 | 0.3、0.5、0.7 | 是 | 0.3 | ||
| 群体学习因子 | 0.7、0.5、0.3 | 是 | 0.7 | ||
| 局部 | 惯性权重 | 0.2、0.35、0.5 | 是 | 0.5 | |
| 自我学习因子 | 0.3、0.5、0.7 | 是 | 0.3 | ||
| 群体学习因子 | 0.7、0.5、0.3 | 是 | 0.7 |
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| 对比算法 | TSABMPGA | TSABSA | TSABPSO | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 算例集 | 项目群总工期 | 项目群总工期 | 项目群总工期 | ||||||
| 10_4 | 54 | 0 | 0 | 0 | 0.352 | 0.408 | 0 | 0.172 | 0.283 |
| 10_6 | 54 | 0 | 0 | 0 | 0.295 | 0.35 | 0 | 0.117 | 0.213 |
| 10_12 | 53 | 0.009 | 0.009 | 0 | 0.248 | 0.286 | 1 | 0.053 | 0.107 |
| 全部算例 | 161 | 0.003 | 0.009 | 0 | 0.299 | 0.408 | 1 | 0.114 | 0.283 |
| 算例集 | 子项目平均成本 | 子项目平均成本 | 子项目平均成本 | ||||||
| 10_4 | 34 | 0.021 | 0.059 | 20 | 0.146 | 0.42 | 0 | 0.196 | 0.374 |
| 10_6 | 32 | 0.037 | 0.121 | 22 | 0.228 | 0.475 | 0 | 0.228 | 0.366 |
| 10_12 | 54 | 0 | 0 | 0 | 0.319 | 0.6 | 0 | 0.245 | 0.472 |
| 全部算例 | 120 | 0.019 | 0.059 | 42 | 0.246 | 0.475 | 0 | 0.223 | 0.374 |
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