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首页> 外文期刊>Computers & Industrial Engineering >Robust resource-constrained project scheduling problem of the project's subcontractors in a cooperative environment under uncertainty: Social complex construction case study
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Robust resource-constrained project scheduling problem of the project's subcontractors in a cooperative environment under uncertainty: Social complex construction case study

机译：不确定环境下合作环境下项目分包商的资源受限项目调度问题：社会复杂案例研究

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摘要

Improvement of project scheduling is a complicated task due to numerous activities and various resources. Accordingly, the resource-constrained project scheduling problem (RCPSP) is an NP-hard problem that minimizes the time and cost of the project. In this paper, the goal is to model the problem under uncertainty in the availability of the resources and activities duration simultaneously. Subcontractors of the construction projects are motivated to form a coalition to reduce the makespan, increase the availability of the resources and maximize their profits. Initially, the robust optimization (RO) model is developed for the RCPSP based on the multi objective optimization method in which the uncertainty is modeled in a set of scenarios. The behavior of subcontractors is considered by supper-additivity in cooperation, satisfaction level and stability of coalitions. The results of the proposed model demonstrate that the subcontractors can work together in a coalition and obtain more profit rather than working individually. Then, game theory methods such as Shapley Value, Max-Min core, and Equal Profit Method are applied to fairly allocate excess profit of the coalition.
机译：由于大量的活动和各种资源，改善项目进度是一项复杂的任务。因此，资源受限的项目计划问题（RCPSP）是NP难题，可最大程度地减少项目的时间和成本。在本文中，目标是同时对资源可用性和活动持续时间不确定的情况下的问题进行建模。鼓励建设项目的分包商组成一个联盟，以减少工期，增加资源的可用性并最大程度地提高其利润。最初，基于多目标优化方法为RCPSP开发了鲁棒优化（RO）模型，其中在一组场景中对不确定性进行建模。分包商的行为是通过合作中的超加性，联盟的满意度和稳定性来考虑的。该模型的结果表明，分包商可以在联盟中共同工作，而不是单独工作，而是可以获取更多的利润。然后，运用博弈论方法（例如Shapley值，Max-Min核心和Equal Profit方法）公平分配联盟的超额利润。

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