▁pla cement ▁of ▁the ▁anten nas ▁employed ▁on ▁the ▁second ▁stage ▁of ▁the ▁Sat urn ▁V . ▁This ▁was ▁used ▁to ▁launch ▁the ▁Apol lo ▁space ▁caps ule ▁that ▁land ed ▁the ▁first ▁men ▁on ▁the ▁moon . ▁ ▁Vari ants ▁ ▁The ▁initial ▁goal ▁programming ▁form ulations ▁ordered ▁the ▁unw anted ▁devi ations ▁into ▁a ▁number ▁of ▁priority ▁levels , ▁with ▁the ▁minim isation ▁of ▁a ▁deviation ▁in ▁a ▁ ▁higher ▁priority ▁level ▁being ▁infinitely ▁more ▁important ▁than ▁any ▁devi ations ▁in ▁lower ▁priority ▁levels . ▁This ▁is ▁known ▁as ▁lex ic ographic ▁or ▁pre - empt ive ▁goal ▁programming . ▁Ign izio ▁gives ▁an ▁algorithm ▁showing ▁how ▁a ▁lex ic ographic ▁goal ▁programme ▁can ▁be ▁solved ▁as ▁a ▁series ▁of ▁linear ▁program mes . ▁Lex ic ographic ▁goal ▁programming ▁is ▁used ▁when ▁there ▁exists ▁a ▁clear ▁priority ▁ordering ▁amongst ▁the ▁goals ▁to ▁be ▁achieved . ▁ ▁If ▁the ▁decision ▁mak er ▁is ▁more ▁interested ▁in ▁direct ▁compar isons ▁of ▁the ▁object ives ▁then ▁weight ed ▁or ▁non - pre - empt ive ▁goal ▁programming ▁should ▁be ▁used . ▁In ▁this ▁case ▁all ▁the ▁unw anted ▁devi ations ▁ ▁are ▁multip lied ▁by ▁weights , ▁reflect ing ▁their ▁relative ▁importance , ▁and ▁added ▁together ▁as ▁a ▁single ▁sum ▁to ▁form ▁the ▁achiev ement ▁function . ▁De vi ations ▁measured ▁in ▁different ▁units ▁cannot ▁be ▁sum med ▁directly ▁due ▁to ▁the ▁phenomen on ▁of ▁in comm ens ur ability . ▁ ▁Hence ▁each ▁unw anted ▁deviation ▁is ▁multip lied ▁by ▁a ▁normal isation