We present a linear programming based heuristic for the solution of a
class of aggregate level planning problems in hybrid flowshops (flowsh
ops with several machines per stage). First, the general planning prob
lem is modelled as multi-level with parallel processors, multi-item, c
apacitated, lot-sizing with set up times. We suggest a hierarchical ap
proach which sequentially loads the stages; each stage is constrained
by the solution of its preceding stage and each stage is treated as a
multi-item, capacitated, lot-sizing problem with setup times on parall
el processors. We show how this latter problem may be reformulated and
solved heuristically as a sequence of network problems (trans-shipmen
t problems) in which the amount of capacity lost in setups is fixed fo
r each period and each processor. The model is within the computing re
ach of a PC.