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考虑运输时间的多资源工序的资源分配优化

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针对制造业和服务业等领域中广泛存在的多资源工序资源分配问题,考虑工件和可移动类资源的运输时间,以最小化最长完工时间为优化目标,构建一类新的资源分配混合整数线性规划模型.针对该问题特性,提出变邻域搜索模拟退火的混合算法.该算法结合变邻域搜索算法局部搜索能力强和模拟退火算法全局寻优的优势,同时克服前者容易陷入局部最优而后者局部收敛不佳的问题.在算法的设计中,引入自适应邻域结构和改进降温函数以提高算法的收敛效率.300 个不同规模的仿真算例实验结果表明,在求解大规模实例中,所提算法的性能均优于CPLEX求解器、变邻域搜索算法和模拟退火算法,能提供更好的资源分配方案.
Resource Allocation Optimization with Multi-resource Operations Considering Transportation Time
In response to resource allocation with multi-resource operations widely present in practical applications such as manufacturing and services,considering the transportation time of parts and mobile resources,a novel resource allocation mixed-integer linear programming model is formulated with the objective of minimizing the makespan.Furthermore,considering the characteristics of this problem,a hybrid algorithm combining Variable Neighborhood Search(VNS)and Simulated Annealing(SA)is proposed.This algorithm leverages the strong local search capability of VNS and the global optimization advantage of SA,overcoming the issue of VNS getting trapped in local optima and SA's slow convergence.In terms of algorithm design,adaptive neighborhood structure and improved cooling functions are incorpo-rated to speed up the convergence.Experimental results on 300 randomly generated instances show that the proposed algorithm outperforms CPLEX,Variable Neighborhood Search and Simulated Annealing algorithms alone in solving large-scale instances,providing better resource allocation solutions.

resource allocationmulti-resource operationstransportation timeVariable Neighborhood SearchSimulated Annealing Algorithm

翁武燕、储诚斌、吴鹏

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福州大学经济与管理学院,福建福州 350108

资源分配 多资源工序 运输时间 变邻域算法 模拟退火算法

国家自然科学基金

71871159

2024

福州大学学报(哲学社会科学版)
福州大学

福州大学学报(哲学社会科学版)

CHSSCD
影响因子:0.516
ISSN:1002-3321
年,卷(期):2024.38(4)