Zero-Inventory Conditions For a Two-Part-Type Make-to-Stock(8)

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

Figure2:TheHedgingPointPerturbations

Condition2

ρ1≤h1

h1+b1

4.2UpShift

Herepolicyπisde nedbyashiftupofpolicyζ.Thehedgingpointofpolicyπis(0,1)andtheswitchingcurveisthelinex1=0.Forthisperturbationtheonlydi erenceinaveragecostisduetoX2.Letγ2=Pπ(X2=1).Then

gπ gζ=h2γ2 b2(1 γ2)(6)

π X2hasthesameprobabilitylawasthenumberoflowpriorityNow,z2customersinapriorityqueue.Hence,γ2isthestationaryprobabilityofno

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