制造系统的递阶滚动优化调度模型

摘要

A new hierarchical optimal control production and setup scheduling model is discussed in an inflexible manufacturing system with jump Markov disturbances consisting of a single machine. The system can produce several types of products,but each time it can produce only one type of product. A setup (with setup time or cost or both) is required ff production is tobe switched from one type of product to another. The objective is to minimize the costs of setup, production and inventory. Thedecision variables are a sequence of setups and the production plan. Based on the idea of hierarchical control policy, a new hierarchical framework and hedging point control policy construct the hierarchical optimal control policy. An algorithm on receding horizon is also addressed.%研究的对象是只有一台不可靠(failure-prone)机器的非完全柔性制造系统,该系统能生产多种产品,但在同一时刻只能生产一种产品,并且当机器由生产一种产品向生产另一种产品切换时,需要考虑setup时间及其成本.待决策变量是setup序列及产品生产率.本文基于非完全柔性制造系统的特点,引入递阶层控的思想,采用新的递阶结构框架和阈值控制策略,对问题进行分解,建立了考虑setup时间及成本的递阶流率控制最优化调度模型,并给出了递阶的滚动优化算法.仿真结果表明,这种调度策略更易于工程实现.