We consider the dynamic scheduling of a two-part-type make-tostock production system using the model of Wein [12]. Exogenous demand for each part type is met from finished goods inventory; unmet demand is backordered. The control policy determines which pa

bedi culttopredict.ItmaybehelpfultocheckConditions3and4forarangeofvaluesoftheseparameterstodetermineifaproductisinorneartheMTOregime.

8Conclusion

Wehavepresentednecessaryandsu cientconditionsforasimplemake-to-orderpolicytobeoptimalinatwoparttypeproductionsystem.Undertheseconditions,theoptimalcontrolpolicyisfullycharacterized.

Furtherresearchneedtobecarriedouttoaddressthecaseofmorethantwoparttypes.Anotherrelevantproblemforpracticalapplicationsistoknowwhenoneoftheparttypesismadetoorder,whilesomestockoftheothertypeisbuiltinadvance.Ournumericalstudyprovidessomeinitialinsightsintothisquestion.Conditionssimilartooursforthisproblemwouldhelpunderstandhowtochooseparttypesrequiringsafetystockswhentheproductioncapacityisshared.

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