An assembly sequence planning scheme, giving the time optimal solution
for a two-robot cell, is presented. The scheme is based on dynamic pr
ogramming, and the time optimum assembly sequence is generated in two
stages. In stage one, an initial candidate sequence is derived. The st
age-one algorithm is computationally efficient, the complexity being (
(log n/k), where n is the number of elements in k groups. It also give
s near-optimal results. Expression for the lower bounds for the total
assembly time are derived in order to assess the departure from optima
lity of the stage-one sequence. In stage two, the initial candidate se
quence is optimized using an iterative technique to yield the time opt
imal sequence. The scheme is extended to account for precedence constr
aints. It can also be extended for assembly cells with more than two r
obots. The scheme is tested using computer simulations, and some test
results are presented. For the problems solved (typically involving 20
elements), the computational times were less than 5 sec in an Apollo
300 workstation. (C) 1997 Elsevier Science Ltd.