Complexity of single model assembly line balancing problems

This paper describes a method for generating assembly line balancing problems randomly and measuring their complexities. In this present study, a measure for complexity of assembly line balancing problem, TF-ratio (ratio of the sum of total number of followers of each element and maximum possible number of ordering relations among them) is used. A complex problem will need more CPU time for its solution. Some of the factors, such as, work content (W), cycle time (C), standard deviation (SD) of elemental times, TF-ratio, etc., which are responsible for the complexity of the line balancing problem, are identified and their effect on the complexity of the problem is discussed.