Decomposition basedheuristicalgorithmforlot-sizingandschedulingproblem treating timehorizonasacontinuum

In thispaper,wedealwithanewlot-sizingandschedulingproblem(LSSP)thatminimizesthesumof production cost,setupcost,andinventorycost.Incorporatingtheconstraintsofsetupcarry-overand overlapping aswellasdemandsplitting,wedevelopamixedintegerprogramming(MIP)formulation. In theformulation,problemsizedoesnotincreaseasweenhancetheprecisionlevelofatimeperiod; for example,bydividingatimeperiodintoanumberofmicrotimeperiods.Accordingly,intheproposed model, wetreatthetimehorizonasacontinuumnotasacollectionofdiscretetimeperiods.Sincethe problem istheoreticallyintractable,wedevelopasimplebutefficientheuristicalgorithmbydevisinga decomposition schemecoupledwithalocalsearchprocedure.Evenifintheorytheheuristicmaynot guarantee findingafeasiblesolution,computationalresultsdemonstratethattheproposedalgorithmisa viable choiceinpracticeforfindinggoodqualityfeasiblesolutionswithinacceptabletimelimit.