In the domain of facility and factory layout planning, the difficult proble
m of finding a maximum weight planar subgraph of an edge-weighted complete
graph has many important practical applications. We introduce new neighbour
hood structures to generate an initial solution and yield feasible modifica
tions of a current layout. We compare our constructive algorithm to a coupl
e of approaches from the literature in order to receive an initial feasible
solution. Moreover, a new implementation of Leung's greedy heuristic outpe
rforms all other layout approximation algorithms in quality. Computational
results demonstrate the performance characteristics.