This paper considers the scheduling of operations in a manufacturing c
ell that repetitively produces a family of similar parts on two or thr
ee machines served by a robot. We provide a classification scheme for
scheduling problems in robotic cells. We discuss finding the robot mov
e cycle and the part sequence that jointly minimize the production cyc
le time, or equivalently maximize the throughput rate. For multiple pa
rt-type problems in a two-machine cell, we provide an efficient algori
thm that simultaneously optimizes the robot move and part sequencing p
roblems. This algorithm is tested computationally. For a three-machine
cell with general data and identical parts, we address an important c
onjecture about the optimality of repeating one-unit cycles, and show
that such a procedure dominates more complicated cycles producing two
units. For a three-machine cell producing multiple part-types, we prov
e that four out of the six potentially optimal robot move cycles for p
roducing one unit allow efficient identification of the optimal part s
equence. Several efficiently solvable special cases with practical rel
evance are identified, since the general problem of minimizing cycle t
ime is intractable. Finally, we discuss ways in which a robotic cell c
onverges to a steady state.