Resource Collaborative Integrated Scheduling Algorithm Considering Multi-process Equipment Weight
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摘要: 针对多品种、小批量复杂产品综合调度研究中，没有考虑加工较多工序设备上的工序间调度空隙会对调度结果产生重要影响的问题，该文提出考虑多工序设备权重的资源协同综合调度算法。该算法在综合调度中首先提出多工序设备和工序权重值的定义，其次提出以权重值为主的调度策略，提高了工序纵向连续加工的紧密度；最后提出最佳调度时刻的调整策略，提高了工序横向并行优化的力度。实验结果表明，该算法在提高综合调度设备整体利用率和减少复杂产品时间成本等方面，具有更优性。Abstract: In order to solve the problem that scheduling gaps between processes on equipment with many processes will have important influence on scheduling results in the integrated scheduling research of multi-variety and small batch complex products, a resource cooperative integrated scheduling algorithm considering the weight of equipment with many processes is proposed. In the integrated scheduling, the definition of multi-process equipment and process weight value is proposed for the first time, and then the scheduling strategy based on weight value is proposed to improve the tightness of longitudinal continuous processing. Finally, the optimal scheduling time adjustment strategy is proposed to improve the intensity of horizontal parallel optimization. Experimental results show that the algorithm has better performance in improving the overall utilization rate of the integrated scheduling equipment and reducing the time cost of complex products.
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Key words:
- Integrated scheduling /
- Resource collaboration /
- Equipment /
- Multi-process /
- Weight
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表 1 考虑多工序设备权重的资源协同综合调度算法
Weight-value (A) 输入： Input S(A)，S(M)； 输入： Set(P) Compute Layerpriority to Ai; 输入： Set(M) Compute Machine to Mi; 输入： Set(C) Compute Constraint to Ai; 输入： Set(W) Compute Weight-value to Ai; 输出： Output Dispath(A) For each node Ai∈A do If unique Ai to Max(Pi) then dispath Ai ; Else if { If same Weight-value Ai then optimal scheduling time adjustment(Ai); Else if dispath Ai by Weight-value Descending order } End if If root node process Ai Exit; Else if i--; End if 
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表 3 复杂产品A工序权重值统计
工序号 设备
优先级设备优先级数据标准化 层优
先级层优先级
数据标准化约束度 约束度数
据标准化权重值 最佳调度时刻 A1 3 1.063410138 1 –1.85933936 1 –0.729324957 –1.52525418 t=29 A2 2 –0.096673649 2 –1.183215957 5 2.771434838 1.491545233 t=28 A3 1 –1.256757436 3 –0.507092553 1 –0.729324957 –2.493174946 t=11 A4 3 1.063410138 3 –0.507092553 2 0.145864991 0.702182577 t=17 A5 3 1.063410138 3 –0.507092553 2 0.145864991 0.702182577 t=20 A6 1 –1.256757436 3 –0.507092553 1 –0.729324957 –2.493174946 t=0 A7 1 –1.256757436 4 0.169030851 2 0.145864991 –0.941861593 t=11 A8 2 –0.096673649 4 0.169030851 2 0.145864991 0.218222194 t=13 A9 1 –1.256757436 5 0.845154255 3 1.02105494 0.609451759 t=6 A10 3 1.063410138 5 0.845154255 1 –0.729324957 1.179239435 t=6 A11 2 –0.096673649 6 1.521277659 1 –0.729324957 0.695279052 t=0 A12 3 1.063410138 6 1.521277659 1 –0.729324957 1.855362839 t=0
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表 4 复杂产品A调度过程
调度时刻 M1 设备 M2 设备 M3 设备 M4 设备 t=0～t=1 加工工序A11 – 加工工序A12 加工工序A6 t=1～t=6 – – 工序A12加工完毕 加工工序A6 t=6～t=8 – 加工工序A9 加工工序A10 工序A6加工完毕 t=8～t=11 – 工序A9加工完毕 加工工序A10 – t=11～t=13 – 加工工序A3 工序A10加工完毕 加工工序A7 t=13～t=17 加工工序A8 加工工序A3 – 工序A7加工完毕，
加工结束t=17～t=18 工序A8加工完毕 加工工序A3 加工工序A4 – t=18～t=20 – 工序A3加工完毕，
加工结束工序A4加工完毕 – t=20～t=28 – – 工序A5加工完毕 – t=28～t=29 工序A2加工完毕，加工结束 – – – t=29～t=30 – – 工序A1加工完毕，
加工结束–
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表 5 前者小于后者时两种算法的设备利用率对比分析
M1
利用率(%)M1相对
提高率(%)设备总体
利用率(%)总体利用率
相对提高率(%)产品B
加工用时本文算法 59.3 20.3 60.9 20.6 27 关键设备工
序紧凑算法39 40.3 41
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