# Formulas - d is variable and order lead-time L is a...

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FORMULAS PERT/CPM : CPM [ ] 1 - = i i EF Max ES ( 0 1 = = i ES ) i i i t ES EF + = [ ] 1 + = i i LS Min LF ( [ ] N N EF Max LF = ) i i i t LF LS - = PERT E ( Activity Time ), t = 6 4 b m a + + ; 2 2 6 - = a b t σ = Path Critical Time Activity E T Time oject E ) ( , ) (Pr ; = Path Critical t T 2 σ σ INVENTORY MODELS : EOQ h o Opt C D C Q 2 = Opt Opt Q D N = D Q t Opt = R = dL (for L < t ) EOQ with Shortages + = b h b h o Opt C C C C D C Q 2 + = b h h Opt Opt C C C Q S Opt Opt b Opt Opt Opt h Opt o Q S C Q S Q C Q D C TC 2 2 ) ( 2 2 min + - + = Economic Lot Size - = p d C D C Q h o Opt 1 2 Max. Inventory Level = ) 1 ( p d Q Opt - Inventory Models with Uncertain Demand and Lead-time Reorder Point = E (Lead-time Demand) + Safety Stock When daily demand (
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Unformatted text preview: d ) is variable and order lead-time ( L ) is a constant. When both daily demand ( d ) and order lead-time ( L ) are variables. Single-Period Inventory Model (Marginal Analysis) P(Demand ≤ Q *) = o u u C C C + Periodic Review (Fixed-time Period) Inventory Model CD) ( 2 min + + = Opt h Opt o Q C Q D C TC L L + Z d R = d 2 2 2 d L Z L d R = L d + + I L t +L) + Z (t d Q = b d b-+...
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