Joint Optimization of Mode Switching, Loading Level, and Maintenance for Production Systems With Dynamic Tasks

In engineering practice, mode switching, loading adjustment, and preventive maintenance are widely recognized as effective methods for enhancing system availability and reducing operational costs. Simultaneously considering these strategies can enhance the overall system performance, especially in scenarios with stochastic task arrivals. This article explores the integrated optimization of mode switching, loading levels, and maintenance for systems involved in processing dynamic tasks. Dynamic switching between working, idle, and offline modes is considered, leading to different cost items and failure risk. Therefore, mode switching decisions are optimized. An arrival task will be lost when the task queue is full. Then, the optimal loading level, i.e., processing rate, is investigated jointly with mode switching to balance different types of costs. Additionally, age-based preventive maintenance is optimized to strike a balance between system reliability and maintenance costs. The expected total cost under the optimization model is derived using a recursive formula. The numerical example demonstrates the superiority of the proposed joint optimization model.