In this paper, we address the scheduling problem with rejection and non-identical job arrivals, in which we may choose not to process certain jobs and each rejected job incurs a penalty, Our goal is to minimize the su...In this paper, we address the scheduling problem with rejection and non-identical job arrivals, in which we may choose not to process certain jobs and each rejected job incurs a penalty, Our goal is to minimize the sum of the total penalties of the rejected jobs and the maximum completion time of the processed ones, For the off-line variant, we prove its NP-hardness and present a PTAS, and for the on-line special case with two job arrivals, we design a best possible algorithm with competitive ratio (√5+1/2) .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
基金The research is supported by National Natural Science Fundation of China under Grant NO. 10671108 and Province Natural Science Foundation of Shandong under Grant NO. Y2005A04.
文摘In this paper, we address the scheduling problem with rejection and non-identical job arrivals, in which we may choose not to process certain jobs and each rejected job incurs a penalty, Our goal is to minimize the sum of the total penalties of the rejected jobs and the maximum completion time of the processed ones, For the off-line variant, we prove its NP-hardness and present a PTAS, and for the on-line special case with two job arrivals, we design a best possible algorithm with competitive ratio (√5+1/2) .
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。