Optimization of Group Incentive Schemes

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 sche...

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Bibliographic Details
Published in:Automation and remote control 2023-12, Vol.84 (12), p.1294-1301
Main Authors: Burkov, V. N., Burkova, I. V., Kashenkov, A. R.
Format: Article
Language:English
Subjects:
Algorithms
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Shortest-path problems
Systems Theory
Thematic Issue
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Summary: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).
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117923120020