Note—Comments on the Complexity Rating Factor for Layout Problems
评论了Block提出的设施布局问题复杂度评级因子,指出其在数学上使用了错误的流优势上界,且存在可解释性问题,并分析了流矩阵元素变化对因子的影响。
In a recently published Note, Block (Block, T. E. 1979. On the complexity of facilities layout problems. Management Sci. 25 (3) 280–285.) attempted to provide a definitive method to evaluate the complexity of facilities layout problems. He proposed a complexity rating factor that is based on flow dominance and the number of facilities. Mathematically, the rating factor suffers from the use of an incorrect upper bound for flow dominance. Also, there is a problem with regard to its interpretability. These shortcomings are discussed in this Note. The sensitivities of flow dominance and the rating factor to changes in a single element of the flow matrix are examined and their implications discussed.