不确定资源约束条件下的结构项目排序问题

摘要

The main problem discussed in this paper is the construction project scheduling mathematical model and a simple algorithm in the uncertain resource environments. The project scheduling problem with uncertain resource constraints is mainly comprised of three parts:first the maximal limited capacity is fixed throughout the project duration; second the maximal limited resource capacity is random variable; thirdly the resource is fuzzy. The objective function is taken as the total completion duration of the project. A proper uncertain mathematical model is firstly constructed for pre-given confidence level and the important degree of the activity by using of the chance-constrained programming method. And then the original uncertain problem is converted into an equivalent deterministic nonlinear programming problem by means of some efficient measures. Finally a simple two-stage solving method is proposed and a numerical example is presented.%本文主要建立了具有不确定资源约束条件下的结构项目排序问题的一个数学模型.不确定资源约束主要由固定项目工期、随机项目工期和模糊项目工期组成,其目标函数为项目的整个完工时间(极小).利用机会约束的置信度(包括某些活动的重要度)和某些有效方法将原不确定问题转化为等价的确定性规划问题.最后我们给出了一个简单的二阶段算法及其数值结果.