This paper presents a neural network approach with successful implementatio
n for the robot task-sequencing problem. The problem addresses the sequenci
ng of tasks comprising loading and unloading of parts into and from the mac
hines by a material-handling robot. The performance criterion is to minimiz
e a weighted objective of the total robot travel time for a set of tasks an
d the tardiness of the tasks being sequenced. A three-phased parallel imple
mentation of the neural network algorithm on Thinking Machine's CM-5 parall
el computer is also presented which resulted in a dramatic increase in the
speed of finding solutions. To evaluate the: performance of the neural netw
ork approach, a branch-and-bound method and a heuristic procedure have been
developed for the problem. The neural network method is shown to give good
results and is especially useful for solving large problems on a parallel-
computing platform. (C) 2000 Elsevier Science Ltd. All rights reserved.