Real-time scheduling problems increase the practical implementation of the manufacturing system. In this study, using a single objective performance measure i.e., Number of Tardy Jobs (NTJ), the influence of 5 input constraints, i.e., reliability level (R_L), percentage of machine failure (%McF), mean time to repair for random machine breakdown (MTR_RMcB), due date tightness factor (Ғ), and routing flexibility level (R_FL) were evaluated for considered stochastic Flexible Job Shop Scheduling Problem (FJSSP). The study integrated reliability-centered preventive maintenance (PMRC) and random machine breakdown (RMcB) environment with sequence-dependent setup time in the considered problem. A statistical response surface methodology was used to assesses NTJ. A second-order regression model was obtained to compute correlation between input constraints and NOTJ at 95% confidence level. The results demonstrate that main effects of R_L, %McF, Ғ, and R_FL; the interaction effects of R_L and Ғ, %McF and R_FL, MTR_RMcB and R_FL, and Ғ and R_FL; and quadratic effects of Ғ and R_FL, have significant impact on NTJ performance measure. Ғ has emerged as the major factor affecting NTJ. The confirmatory data demonstrate that error is less than 5%, confirming model can be used for future computations. Further, the novelties of the work are shown by the fact that it takes into account the uncertainties in the scheduling issue, as well as the dynamic tasks arrival environment. The aforementioned findings will assist production managers in planning and scheduling flexible job shops in order to satisfy customer demand on time.

中文翻译：

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预防性维护和机器故障对带设置时间的随机柔性作业车间调度性能的影响

实时调度问题增加了制造系统的实际实施。在这项研究中，使用单一的客观性能度量，即迟到作业数 (NTJ)、5 个输入约束的影响，即可靠性水平 (R_L)、机器故障百分比 (%McF)、随机平均修复时间机器故障 (MTR_RMcB)、到期日期紧迫系数 (?) 和路由灵活性级别 (R_FL) 已针对考虑的随机灵活作业车间调度问题 (FJSSP) 进行了评估。该研究在所考虑的问题中集成了以可靠性为中心的预防性维护 (PMRC) 和随机机器故障 (RMcB) 环境以及与序列相关的设置时间。统计响应面方法用于评估 NTJ。获得二阶回归模型以计算输入约束与 NOTJ 之间的相关性，置信度为 95%。结果表明，R_L、%McF、?和 R_FL 的主要影响；R_L 和 ¥、%McF 和 R_FL、MTR_RMcB 和 R_FL、¥ 和 R_FL 的相互作用；¥ 和 R_FL 的二次效应对 NTJ 性能测量有显着影响。¥ 已成为影响 NTJ 的主要因素。验证性数据表明误差小于5%，验证模型可用于以后的计算。此外，该工作的新颖之处在于它考虑了调度问题中的不确定性以及动态任务到达环境。