| 时间-资源协调问题的一个优化模型 |
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| 引用本文： | 王淑芬 万仲平 王先甲. 时间-资源协调问题的一个优化模型[J]. 系统工程学报, 2005, 20(5): 472-477 |
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| 作者姓名： | 王淑芬 万仲平 王先甲 |
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| 作者单位： | [1]武汉大学数学与统计学院,湖北武汉430072 [2]武汉大学系统工程研究所,湖北武汉430072 |
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| 基金项目： | 国家自然科学基金资助项目（70371032）;教育部高校博士学科点专项基金资助项目（20020486035）. |
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| 摘 要： | 提出了一个具有资源约束问题的时间—资源协调问题的数学模型、在模型里，对相互冲突的项目工期与整个被消耗的资源费用是可以建立在作为价格信息——对应的Lagrange乘子基础上进行协调，而有助于控制和监控任何时刻的资源利用情况、在对应于资源约束的Lagrangian松弛表示式里，项目工期与整个资源消耗费用可以解释为一种二人对策问题．
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| 关 键 词： | 时间—资源协调问题 资源约束 时间表 Lagrangian松弛法 算法 |
| 文章编号： | 1000-5781（2005）05-0472-06 |
| 收稿时间： | 2003-05-30 |
| 修稿时间： | 2003-05-302005-06-24 |
Optimal model for construction time-resource tradeoff problem |
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| WANG Shu-fen, WAN Zhong-ping, WANG Xian-jia. Optimal model for construction time-resource tradeoff problem[J]. Journal of Systems Engineering, 2005, 20(5): 472-477 |
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| Authors: | WANG Shu-fen WAN Zhong-ping WANG Xian-jia |
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| Affiliation: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; 2. Institute of Systems Engineering, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this paper we propose a new mathematical model with time-resource tradeoff problem. Based on the corresponding Lagrange multiplier, which is viewed as price information, the objective functions with conflict one another are defined as adaptive and adjustable between the project duration and the total consumed-resources cost in all period. It helps us to control and monitor the resources utilized situation at any time. In addition, both the project duration and the total constmaed-resourees cost in the Lagrangian relaxation expression associated with the resource constraints are interpreted as a two-player game problem. |
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| Keywords: | time-resource tradeoff problem resouree-constrained scheduling Lagrangian relaxation algorithm |
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