(1. 太原科技大学工业与系统工程研究所,太原030024;2. 装备制造业创新发展研究中心,太原030024)
(1. Division of Industrial and System Engineering,Taiyuan University of Science and Technology,Taiyuan030024,China;2. Research Centre for Innovation and Development of Equipment Manufacturing Industry,Taiyuan030024,China)
In order to solve the problem of resource idleness and time cost increase caused by system maintenance in the production scheduling process, the system maintenance and production scheduling are modelled jointly. On the basis of many scholars' research on production scheduling and maintenance, this paper considers the complex relationship among the components in the system. Focusing on a system composed of two components with economic relevance, the processing order, preventive maintenance threshold and opportunistic maintenance threshold of scheduling jobs are taken as decision variables. At the same time, considering that the simultaneous maintenance of two components is more economical than the independent maintenance of a single component, the opportunistic maintenance is introduced into the modelling. The joint strategy of condition based maintenance and production scheduling is formulated, which contains opportunistic maintenance, preventive maintenance and corrective maintenance. All the possible maintenance requirement during the production scheduling process and their corresponding probabilities is presented, as well as the joint probability density is derived using the deterioration state space partition method. A joint optimization model is established to minimize the total weighted expected completion time. Numerical experiments and sensitivity analyses are conducted to verify the validation of the proposed strategy and established model.