The multilevel generalized assignment problem (MGAP) differs from the
classical GAP in that agents can perform tasks at more than one effici
ency level. Important manufacturing problems, such as lot sizing, can
be formulated as MGAPs; however, the large number of variables in the
related 0-1 integer program makes the use of commercial optimization p
ackages impractical. In this paper, we present a heuristic approach to
the solution of the MGAP, which consists of a novel application of ta
bu search (TS). Our TS method employs neighborhoods defined by ejectio
n chains, that produce moves of greater power without significantly in
creasing the computational effort.