This paper employs mathematical modeling and algebraic approach to derive the optimal manufacturing batch size and number of shipment for a vendor-buyer integrated economic production quantity (EPQ) model with scrap. ...This paper employs mathematical modeling and algebraic approach to derive the optimal manufacturing batch size and number of shipment for a vendor-buyer integrated economic production quantity (EPQ) model with scrap. Unlike the conventional method by using differential calculus to determine replenishment lot size and optimal number of shipments for such an integrated system, this paper proposes a straightforward algebraic approach to replace the use of calculus on the total cost function for solving the optimal production- shipment policies. A simpler form for computing long-run average cost for such a vendor- buyer integrated EPQ problem is also provided.展开更多
The batch splitting scheduling problem has recently become a major target in manufacturing systems, and the researchers have obtained great achievements, whereas most of existing related researches focus on equal-size...The batch splitting scheduling problem has recently become a major target in manufacturing systems, and the researchers have obtained great achievements, whereas most of existing related researches focus on equal-sized and consistent-sized batch splitting scheduling problem, and solve the problem by fixing the number of sub-batches, or the sub-batch sizes, or both. Under such circumstance and to provide a practical method for production scheduling in batch production mode, a study was made on the batch splitting scheduling problem on alternative machines, based on the objective to minimize the makespan. A scheduling approach was presented to address the variable-sized batch splitting scheduling problem in job shops trying to optimize both the number of sub-bathes and the sub-batch sizes, based on differential evolution（DE）, making full use of the finding that the sum of values of genes in one chromosome remains the same before and after mutation in DE. Considering before-arrival set-up time and processing time separately, a variable-sized batch splitting scheduling model was established and a new hybrid algorithm was brought forward to solve both the batch splitting problem and the batch scheduling problem. A new parallel chromosome representation was adopted, and the batch scheduling chromosome and the batch splitting chromosome were treated separately during the global search procedure, based on self-adaptive DE and genetic crossover operator, respectively. A new local search method was further designed to gain a better performance. A solution consists of the optimum number of sub-bathes for each operation per job, the optimum batch size for each sub-batch and the optimum sequence of sub-batches. Computational experiments of four test instances and a realistic problem in a speaker workshop were performed to testify the effectiveness of the proposed scheduling method. The study takes advantage of DE＇s distinctive feature, and employs the algorithm as a solution approach, and thereby deepens and enriches the content of batch splitting scheduling.展开更多
We study a two stage queuing model where the server provides two stages of service one by one in succession. We consider reneging to occur when the server is unavailable during the system breakdown or vacation periods...We study a two stage queuing model where the server provides two stages of service one by one in succession. We consider reneging to occur when the server is unavailable during the system breakdown or vacation periods. We concentrate on deriving the steady state solutions by using supplementary variable technique and calculate the mean queue length and mean waiting time. Further some special cases are also discussed and numerical examples are presented.展开更多
为探讨差异尺寸作业批调度研究现状和进展,以发表在2000~2021年、收录于Web of Science(WOS)数据库的相关文献为研究对象,借助CiteSpace软件对这些文献的期刊共被引、主要研究力量的发文与合作、关键词共现与突现等情况进行可视化分析...为探讨差异尺寸作业批调度研究现状和进展,以发表在2000~2021年、收录于Web of Science(WOS)数据库的相关文献为研究对象,借助CiteSpace软件对这些文献的期刊共被引、主要研究力量的发文与合作、关键词共现与突现等情况进行可视化分析。文献计量结果表明,尽管我国的研究机构在差异尺寸作业批调度上的文献产出量大,但产出文献的整体学术影响力还有待提升;高频关键词集中在加工环境、优化目标、问题求解技术3方面;截至2021年仍保持高突现强度的关键词有增材制造、恶化作业、能源消耗、多目标优化。最后给出差异尺寸作业批调度研究的未来发展方向,以期为后续研究提供有益参考。展开更多
批加工设备调度是半导体生产线调度的重要组成部分,对半导体生产线性能有重要影响。在综述批加工设备调度研究成果的基础上,提出了同时考虑即将到来工件与下游设备负载情况的半导体生产线批加工设备调度规则(Scheduling Rule for Batch ...批加工设备调度是半导体生产线调度的重要组成部分,对半导体生产线性能有重要影响。在综述批加工设备调度研究成果的基础上,提出了同时考虑即将到来工件与下游设备负载情况的半导体生产线批加工设备调度规则(Scheduling Rule for Batch Processing Machines in Semiconductor Wafer Fabrication Facilities,SRB)。基于三种不同规模的半导体生产线模型,在非批加工设备使用不同的调度规则的情况下,对提出的SRB进行了仿真验证。仿真结果表明,与目前常用的固定加工批量调度规则相比,SRB能够更好的改善半导体生产线性能,获得较高的工件移动步数、产量和准时交货率,以及较低的加工周期。展开更多
文摘This paper employs mathematical modeling and algebraic approach to derive the optimal manufacturing batch size and number of shipment for a vendor-buyer integrated economic production quantity (EPQ) model with scrap. Unlike the conventional method by using differential calculus to determine replenishment lot size and optimal number of shipments for such an integrated system, this paper proposes a straightforward algebraic approach to replace the use of calculus on the total cost function for solving the optimal production- shipment policies. A simpler form for computing long-run average cost for such a vendor- buyer integrated EPQ problem is also provided.
基金supported by National Hi-tech Research and Development Program of China (863 Program, Grant No. 2007AA04Z155)National Natural Science Foundation of China (Grant No. 60970021)Zhejiang Provincial Natural Science Foundation of China (Grant No. Y1090592)
文摘The batch splitting scheduling problem has recently become a major target in manufacturing systems, and the researchers have obtained great achievements, whereas most of existing related researches focus on equal-sized and consistent-sized batch splitting scheduling problem, and solve the problem by fixing the number of sub-batches, or the sub-batch sizes, or both. Under such circumstance and to provide a practical method for production scheduling in batch production mode, a study was made on the batch splitting scheduling problem on alternative machines, based on the objective to minimize the makespan. A scheduling approach was presented to address the variable-sized batch splitting scheduling problem in job shops trying to optimize both the number of sub-bathes and the sub-batch sizes, based on differential evolution（DE）, making full use of the finding that the sum of values of genes in one chromosome remains the same before and after mutation in DE. Considering before-arrival set-up time and processing time separately, a variable-sized batch splitting scheduling model was established and a new hybrid algorithm was brought forward to solve both the batch splitting problem and the batch scheduling problem. A new parallel chromosome representation was adopted, and the batch scheduling chromosome and the batch splitting chromosome were treated separately during the global search procedure, based on self-adaptive DE and genetic crossover operator, respectively. A new local search method was further designed to gain a better performance. A solution consists of the optimum number of sub-bathes for each operation per job, the optimum batch size for each sub-batch and the optimum sequence of sub-batches. Computational experiments of four test instances and a realistic problem in a speaker workshop were performed to testify the effectiveness of the proposed scheduling method. The study takes advantage of DE＇s distinctive feature, and employs the algorithm as a solution approach, and thereby deepens and enriches the content of batch splitting scheduling.
文摘We study a two stage queuing model where the server provides two stages of service one by one in succession. We consider reneging to occur when the server is unavailable during the system breakdown or vacation periods. We concentrate on deriving the steady state solutions by using supplementary variable technique and calculate the mean queue length and mean waiting time. Further some special cases are also discussed and numerical examples are presented.
文摘为探讨差异尺寸作业批调度研究现状和进展,以发表在2000~2021年、收录于Web of Science(WOS)数据库的相关文献为研究对象,借助CiteSpace软件对这些文献的期刊共被引、主要研究力量的发文与合作、关键词共现与突现等情况进行可视化分析。文献计量结果表明,尽管我国的研究机构在差异尺寸作业批调度上的文献产出量大,但产出文献的整体学术影响力还有待提升;高频关键词集中在加工环境、优化目标、问题求解技术3方面;截至2021年仍保持高突现强度的关键词有增材制造、恶化作业、能源消耗、多目标优化。最后给出差异尺寸作业批调度研究的未来发展方向,以期为后续研究提供有益参考。
