An Improved VLSI Test Economics Analysis System - Laboratory for ...

An Improved VLSI Test Economics Analysis System - Laboratory for ... An Improved VLSI Test Economics Analysis System - Laboratory for ...

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12.07.2015 Views

2.4.4 Manufacturing CostManufacturing cost means cost per chip during manufacturing phase. This cost consists ofnon-recurring part and recurring part. As shown in Section 2.4.2, the manufacturing costcan be estimated as (2.22). For simplicity, it is assumed that our company is a design house.Designs are sent to foundry for manufacturing. Therefore, we don't need to consider detailedcost in factory. Manufacturing cost can be express asCm = C mask =N v + U die + U pack + Km; (2.35)where C mask is mask cost, U die is cost per die, U pack is package cost of each chip, and Km isuser dened manufacturing cost.Die cost can be estimated from wafer cost (U wafer ) and number of good dies per wafer(n g ).Let Y be the estimated yield, d be the wafer diameter, and util be the utilization of wafer,then, number of good dies per wafer can be calculated as util (d=2) 2n g = Y : (2.36)AThus, die cost can be estimated asU die = U wafer =n g = 4AU wafer util d 2 Y(2.37)Although package cost primary depends on the package type, the more chip pins thehigher pin density package type is needed. Therefore, the package cost can be modeled asU pack = p + pp P; (2.38)where p and pp need to be estimated from exact cost and pins per package type.2.4.5 Testing CostGeneral test process includes wafer test, pre-burn-in test, and nal test. Thus, our testingcost is estimated asCt = Ct w + Ct p + Ct f + Kt; (2.39)where Ct w , Ct p , and Ct ftesting cost.is cost of wafer, pre-burn-in , and nal test. Kt is user dened24

Table 2.6: N pass and N v ratio.Before Test Wafer Test Pre-burn-in Test Final TestN pass N N w = N(Y + DL w ) N p = N(Y + DL p ) N f = N(Y + DL f )Y +DL fY +DL f11Y +DLN pass =N wv Y +DL fY +DL fSimplied 1=Y 1 1 1As shown in Table 2.6, N is total manufacturing chips. N w , N p and N f is number ofchips pass wafer, pre-burn-in, and nal test. N v is number of chips delivered to market.DL w , DL p and DL f is defect level after this three test stages. It is assumed that Y DL f ,thus,N v = N f = N(Y + DL f )=NY: (2.40)Only the chips delivered to market can gain revenue, so the cost of eliminated chips musttransfer to the passed chips.Therefore cost of each stage needs to multiply the factorN pass =N v to include the eliminated chips cost. As shown in the same table, this factor issimplied to 1=Y , 1, and 1 for this three test stages.If we use type II cost model, and eliminate training cost of equipment, wafer test costcan be estimated asCt w = Xper tw eqCt w eq Rt w eq + Ct w mtP Tt w =Y + Kt w ; (2.41)Pt w eqwhere Ct w eq is price of wafer test equipment. Rt w eq is depreciative rate, Ct w mt is maintenancecost, and Pt w eq is number of test pins of the test equipment. Moreover, P is chippins and Y is yield. Tt w is average wafer test time of each chip. This time will be estimatedin Time Model. Finally, Kt w is user dened wafer test cost.Similar equations are used to estimate the pre-burn-in and nal cost asCt p = Xper tp eqCt p eq Rt p eq + Ct p mtPt p eqP Tt p + Kt p ; (2.42)and XCt f =per tf eqCt f eq Rt f eq + Ct f mtP Tt f + Kt f ; (2.43)Pt f eq25

Table 2.6: N pass and N v ratio.Be<strong>for</strong>e <strong>Test</strong> Wafer <strong>Test</strong> Pre-burn-in <strong>Test</strong> Final <strong>Test</strong>N pass N N w = N(Y + DL w ) N p = N(Y + DL p ) N f = N(Y + DL f )Y +DL fY +DL f11Y +DLN pass =N wv Y +DL fY +DL fSimplied 1=Y 1 1 1As shown in Table 2.6, N is total manufacturing chips. N w , N p and N f is number ofchips pass wafer, pre-burn-in, and nal test. N v is number of chips delivered to market.DL w , DL p and DL f is defect level after this three test stages. It is assumed that Y DL f ,thus,N v = N f = N(Y + DL f )=NY: (2.40)Only the chips delivered to market can gain revenue, so the cost of eliminated chips musttransfer to the passed chips.There<strong>for</strong>e cost of each stage needs to multiply the factorN pass =N v to include the eliminated chips cost. As shown in the same table, this factor issimplied to 1=Y , 1, and 1 <strong>for</strong> this three test stages.If we use type II cost model, and eliminate training cost of equipment, wafer test costcan be estimated asCt w = Xper tw eqCt w eq Rt w eq + Ct w mtP Tt w =Y + Kt w ; (2.41)Pt w eqwhere Ct w eq is price of wafer test equipment. Rt w eq is depreciative rate, Ct w mt is maintenancecost, and Pt w eq is number of test pins of the test equipment. Moreover, P is chippins and Y is yield. Tt w is average wafer test time of each chip. This time will be estimatedin Time Model. Finally, Kt w is user dened wafer test cost.Similar equations are used to estimate the pre-burn-in and nal cost asCt p = Xper tp eqCt p eq Rt p eq + Ct p mtPt p eqP Tt p + Kt p ; (2.42)and XCt f =per tf eqCt f eq Rt f eq + Ct f mtP Tt f + Kt f ; (2.43)Pt f eq25

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