Bounds and bound sets for the bi-objective simple assembly line balancing problem

Abstract : This paper focuses on the use of bounds and bound sets in the solving of a bi-objective version of the simple assembly line balancing problem. The two objective functions considered are the takt time and the number of stations. We propose a bi-objective solution method, returning all solutions that present an interesting tradeoff between the two objectives. We present bounds and bound sets and introduce them in a branch-and-bound method. The algorithm is demonstrated on a didactic instance.