Abstract

This paper considers the problem of motivating the reduction of project duration. The duration cuts of project works and the corresponding costs are given. A group incentive scheme is used to compensate for the costs. In this scheme, all works are partitioned into groups and a unified incentive scheme is applied for each group. Two types of unified incentive schemes are studied for groups, namely, linear and jump ones. The problem is to partition all project works into groups and choose an appropriate incentive scheme for each group by minimizing the total incentive fund. Solution algorithms are proposed based on determining the shortest path in the network. Special cases are also analyzed (partition with the minimum number of groups and partition with the maximum number of groups).

中文翻译：

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优化集团激励方案

摘要

本文考虑了激励缩短项目工期的问题。给出了项目工程的工期缩短和相应的成本。团体激励计划用于补偿成本。在该方案中，所有作品均被分组，并对每个组采用统一的激励方案。研究了两种类型的群体统一激励方案，即线性激励方案和跳跃激励方案。问题是将所有项目工作分组，并通过最小化激励资金总额为每个组选择合适的激励方案。基于确定网络中的最短路径提出了解决算法。还分析了特殊情况（使用最小组数进行分区和使用最大组数进行分区）。