Public WH Design (Problem 24) K $/yr = ( ) b AC $/slot-yr M - PowerPoint PPT Presentation

Public WH Design (Problem 24) K $/yr = ( ) b AC $/slot-yr M slot ⇒ Demand assumed uncorrelated since it belongs to different customers   N −  M SS  1 ∑ i i = + + M SS     i  2  2   = i 1  −    250 0.06(250) 1 = + + = 4,800 15 636,000 slots      2  2   = ⇒ = = IV SV K i IV 0.05 IV 0,bldg N ,bldg $/y r 0,bldg 0,bldg ′ ′ = ⇒ = ⇒ IV $15.50 TA TA 1.15 TA 0,bldg     A 42 40 7 = ⋅ + = ⋅ + ⇒ TA D ( ) xL D ( ) yD L D ( ) D      2  12  12 2  191

Public WH Design (Problem 24) ( , b cont ) − −       D 1 H 1 + + M NH   N     = L D ( )  2   2      DH − −      H 1  D 1 + + 636,000 4800 H   4800     = ⇒  2   2      DH     18 18 = = = H 5 (building clear-height constraint)      z   42 /12     ( )  ( )   − − A 2 M N 7 2(636,000) 4 800 1 1 * = =  +  = + = D D 7   40 2 NyH 2 2       2(4800) (5)     12 192

Public WH Design (Problem 24) ( , b cont ) ′ ⇒ = ⇒ = ⇒ = ⇒ L 20,503 TA 1,925,573 T A 2,214,409 ′ ⇒ = = = IV $15.50 TA $15.50(2,214,409) $34,323,346 0,bldg ⇒ = = ⇒ K 0.05 IV $1,716 ,16 7 $/y r 0,bl dg K $/yr = = AC $2.70 per slot-yr $/slot-y r M slot 193

Public WH Design (Problem 24) ( , a cont ) ′ = 2 ⇒ TA 2,214,409 ft ′ = = = ⇒ d 2 TA 2 2,214,409 2,104 SC   d 35 SC = + = t 2 4.58   min/mov 616  60  ′ = = H 2(8)5(50) 4000 hr/yr (already using H ) f 2,000,000 mov/yr = = = r 1.25 1.25 625 mov/hr peak ′ H 4000   4.58 = + = +   = + =   m r t 1 r t 1 625 1 48 tr       tr a e peak hr/mov 60   ( ) − ( ) − N 10 eff = − + = − + IV IV SV 1 i 35,000 0.25(35,000) 1 0.05 0 = $29,628 194

Public WH Design (Problem 24) ( , a cont )     i 0.05 = eff = = K IV 29,628 $3,837     tr/yr − − N 10 − + − + 1 (1 i ) 1 (1 0.05)     lab ′ = = c 15.00 H $60,000 $/lab-yr t ( ) lab min/mov = + + + TC m K m 12 c 2.75(2,000,000) $/yr tr $/tr-yr tr $/lab-yr 60 4.58 ( ) = + + + 48(3,837) 48 12 60,000 2.75(2,000,00 0) 60 = ⇒ $4,204,286.27 TC 4,204,2 86.27 $/yr = = = AC $2.10 per move $/mov f 2,000,000 mov/yr 195

Public WH Design (Problem 24) • (c) What are other costs that should be added to each charge to better reflect the true costs of each activity? – most significant missing costs are the facility non-move-related operating costs, which should be added to the slot-year charge • What about average unit cost of $46.75? – only possible impact of unit cost would be for any insurance coverage provided by the warehouse for items stored in the warehouse • Note : Number of slots of max inventory, M , used to determine AC $/slot-yr instead of the total slots in warehouse since unused HCL slots would underestimate cost: × × = Total Slots = L D H 717,605 = M 636,000 = HCL 81,605 196