考虑状态维护策略与工时恶化作用下的单机调度研究

为了解决单机调度问题，提高设备的可靠性和稳定性，根据连续故障检测和离散故障检测的特点，以最小化拖期成本和维护成本为目标，建立了考虑分段线性恶化和维护不可用时间的单机调度模型，基于系统可靠性理论研究考虑机器可靠性的单机调度问题，采用决策条件统一化处理方法对维护策略进行对比，通过单因素和双因素调参分析确定相关参数变化对生产调度优化的影响。结果表明：模型求解时间与单位时间拖期成本的减少呈近似指数级增长，单位拖期成本越大，求解速度越快；单位时间拖期成本的变化不会引起维护成本的大幅度改变，成本函数不存在柔性周期维护中的跳跃节点，不能“自适应”调节；预防性维护时间与故障小修比值对离散检测下的维护决策有较大影响。采用决策条件统一化处理方法，可减少计算时间和检测成本，较好地解决了离散故障检测中易出现的过度维护或维护不足等问题，有助于降低运营成本，提高经济效益。

Research on single machine scheduling with state maintenance strategy and step-deteriorating jobs

In order to solve the single machine scheduling problem, and improve the reliability and stability of the equipment, a single machine scheduling model considering piecewise linear deterioration and maintenance unavailability time was established according to the characteristics of continuous fault detection and discrete fault detection. Based on the system reliability theory, the single machine scheduling problem considering machine reliability was studied, and the advantages and disadvantages of maintenance strategy were compared by unified processing of decision conditions. The influence of related parameter changes on production scheduling optimization was determined by single factor and two factor adjustment analysis. The results show that the solution time of the model increases exponentially with the decreasing direction of unit delay cost, and the greater the unit delay cost, the faster the solution speed. The change of delay cost per unit time will not cause a significant change in maintenance cost, and the cost function does not have jumping nodes in flexible periodic maintenance, so it can not be adjusted adaptively. Ratio of preventive maintenance time to fault minor maintenance time has great influence on maintenance decision under discrete detection. The unified processing method of decision conditions can reduce the calculation time and detection cost, and better solve the problems of excessive maintenance or insufficient maintenance in discrete fault detection. These will help to reduce operating costs and improve economic benefits.