Errata for Second Edition, First Printing

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Errt for Scond Edition, First Printing pg 68, lin 1: z=.67 should b z=.44 pg 71: Eqution (.3) should rd B( R) = θ R 1 x= [1 G( x)] pg 1: Eqution (.63) should rd B( R) = x= R = θ ( x R) p( x) R 1 x= [1 G( x)] = θp( R) + ( θ R)[1 G( R)] pg 15, problm 6: dmnd of 3 pr wk should b dmnd of 6 pr wk pg 15, problm 7: costs $3 pr sht should b costs $15 pr sht pg 16, problm 9: holding costs, h t should b $1 pr month instd of $1 pr month pg 17, problm 11, lin 8: Th nt rvnu from notbook sl should rd Th nt profit from notbook sl pg 17, problm 13: This problm should rd s follows: Jill, th offic mngr of dsktop publishing outfit, stocks rplcmnt tonr crtridgs for lsr printrs. Dmnd for crtridgs is pproximtly 3 pr yr nd is quit vribl (i.., cn b rprsntd using th Poisson distribution). Crtridgs cost $1 ch nd rquir thr wks to obtin from th vndor. Jill uss (Q,r) pproch to control stock lvls. pg 147, Problm 9. Th ld tim for th gr (nd itm) should b 3 priods, for th pinion it should b two priods. Thr should b 1 pinions on hnd. Pg 198, lin -: CT = T pprox should b CT = C pprox Pg 11, Scond Tbl: Th hding Minimum pr Unit should b Minuts pr Unit Pg 11, Problm 6.: Th scond sntnc should rd. Th highly utomtd lin cn run 3 hours pr month nd rquirs on oprtor pr sttion whil running. pg 36, Figur 7.11: Th words bottlnck should b nonbottlnck in th lgnd, which should rd: TH(w): bs cs TH(w): incrsd nonbottlnck rts Thbst(w): bs cs Thbst(w): incrsd nonbottlnck rts pg 44, lin 8 (problm 1) Chng th words, lin bhvs ccording to th bst cs to procss tims r dtrministic (s in th bst cs ). pg 44, lin (problm ) Chng th words, th lins bhvs ccording to th worst cs to ll jobs r procssd t sttion bfor moving (s in th worst cs ).

pg 44, lin 1 (problm 3) Chng th words, lin bhvs ccording to th prcticl worst cs. to procss tims r xponntilly distributd (s in th prcticl worst cs ). pg 45, lin 1 (problm 5) Th problm should rd, Ovr th pst thr months, th old lin hs vrgd 315 prts pr dy, pg 48, lin 1: Littl s lw (TH=CT/WIP) should b Littl s lw (TH=WIP/CT) pg 56, lins 8-9: Thus, both sttions hv nturl CV of c =σ /t =3.35/15.=.5. should b Thus, both sttions hv nturl SCV of c =(σ /t ) =(3.35/15) =.5. = n 1 pg 69, Footnot 1 should rd: This is bcus nu is th drivtiv of, which w n 1 n u n= sw is qul to 1/(1-u). Sinc th drivtiv of th sum is th sum of th drivtivs, nu n 1 is qul to n=1 th drivtiv of 1/(1-u), which is 1/(1-u). Notic tht this is only vlid s long s u<1, which ws lrdy rquird for th quu to b stbl. pg 7, lin 7: xct for th G/G/1 quu should b xct for th M/G/1 quu. pg 77, lin 4 (qution 8.41, first lin) chng c + c WIPnb r should b, WIP nb r c + c u t 1 u u t 1 u + t + t pg 78, lin 13, chng, Howvr, for smll buffrs, WIP will b clos to (but lwys lss thn) th siz of th buffr (tht is, b-1). to Howvr, for smll buffrs, WIP will b clos to (but lwys lss thn) th mximum in th systm (tht is, b). pg 78, Eqution (8.44) should b WIP < min{wipnb, b} pg 78, Eqution (8.45) should b min{wip CT > TH nb, b } Pg 78, Eqution (8.47) on pg 78 should hv trm r s c + c + ( b 1) TH r ( c + c + b 1) c + c + ( b 1) nd not TH ( c + c + b 1) Pg 81, lin 9: $8,538.358 should b $8,538,358

Pg 84, Problm 3: Th words on-hlf minuts should b 1.5 minuts. Pg 84, Problm 3, prt c: Th words, using both mchins A nd B. should b for both mchin A nd mchin B. pg 84, problm 6, prt c: chng th word bttry to sttion Pg 86, Problm 1, prt d. Rplc ii. Comput n uppr bound on th WIP in th systm. iii. Comput n pproximt uppr bound on th totl cycl tim. iv. DELETE THIS PART. v. Prt v bcoms prt iv. Commnt on rducing vribility s strtgy. pg 37, lin : With lot splitting, it is bout hours should b With lot splitting it is bout 7 hours. Not tht th plot in Figur 9.5 for th cs with lot splitting (CT split, s = 5 hours) is lso incorrct. Th corrct figur is blow. pg 37, lin 4: nd 11 hours with lot splitting should b nd 14 hours with lot splitting. Not tht th plot in Figur 9.5 for th cs with lot splitting (CT split, s =.5 hours) is lso incorrct. Th corrct figur is blow. pg 37, lin 3: prts without lot splitting nd fiv prts with lot splitting) should b prts for both th cs without lot splitting nd th cs with lot splitting) pg 37, Figur 9.5 Rplc with: 9 8 7 6 Avg. Cycl Tim 5 4 CTnon-split s=5hr CTsplit s=5hr CTnon-split s=.5hr CTsplit s=.5hr 3 1 1 3 4 5 6 Lot siz

pg 336, problm 5, prt c, th scond sntnc should b: Wht is th vrg cycl tim whn th btch sizs r ll qul to 1 (ssum c = 1)? pg 337, problm 9: Itm A rrivs t rt of 1 pr hour (not 3 pr hour). pg 358, lin 6: $63.3 should b $64. pg 358, lin 8: 5 prcnt should b 6 prcnt pg 364, problm 5 (b) i: c (1)=.5 should b c (1)=.5 ii: c (3)=.5 should b c (3)=.5 pg 364, problm 5(c): so tht t ()=1.5 should b so tht t ()=.5 pg 386, Equtions (1.1), (1.), (1.3) should rd σ.5 σ = = =.1118 X n 5 LCL = µ 3σ = 1 3(.1118) = 9.96646 UCL = µ + 3σ = 1 + 3(.1118) = 1.3354 (1.1) (1.) (1.3) pg 386, Figur 1.1: This figur plots rror brs nd outcoms for smpl siz of n=1, instd of n=5 s citd in th xmpl in th txt blow. Th plot with n=5 should look lik th following: 1.1 1.8 Out of control (mn shift) 1.6 1.4 UCL 1. X br 1. 9.98 9.96 LCL 9.94 9.9 Assignbl cus vrition 9.9 5 1 15 5 3 35 4 Smpl Numbr pg 41, Figur 13.4 should show moving vrgs not xponntil smoothing. Th corrct figur is:

7 Dmnd 6 5 4 3 A(t) f(t): m=3 f(t): 1 1 3 4 5 6 7 8 9 1 11 1 13 14 15 16 17 18 19 Month pg 45, Eqution (13.13) should rd f ( t + τ ) = [ F( t) + τt ( t)] c( t + τ N), t + τ = N + 1,..., N pg 46, lin : nonssonl forcst should b nonssonl forcst for priod t+τ pg 46, lin : ssonlity fctor c(t) should b ssonlity fctor c(t+τ-n) pg 448, problm (c): prdict th closing pric for August 1,? should b prdict mor ccurtly th closing pric for August 1,? pg 479, qution 14.3. Th scond = sign should b + sign so th qution should rd: ˆ µ ( n) = αyn + (1 α)[ ˆ( µ n 1) + Tˆ( n 1)] pg 48, lin 1: λ =.4 should b γ =.4 pg 486, problm 3: Componnt 1 of typ B jobs tks four nd on-hlf hours to rct th bottlnck should b Componnt 1 of typ B jobs tks four nd on-hlf hours to rch th bottlnck pg 55, Eqution 15.7, th d j in th dnomintor should b r j. pg 56, lin 13, 3 shop dys should b 43.7 shop dys pg 56, lins 6-8 should rd Using ths btch sizs rsults in n vrg cycl tim of 33.1 dys, dcrs of ovr 4 prcnt. Doing complt srch ovr ll possibl btch sizs shows tht this is clos to th optiml solution of 17, 17, 11 rsulting in 3.6 dys for vrg cycl tim. pg 577, problm 6: w will cll X nd Y should b w will cll A nd B. Also, in tbls, ll mntions to product X should b to product A nd ll mntions to product Y should b to product B. pg 636, lin -3: sttion (numbr 4) hs th lowst utiliztion should b sttion (numbr 4) hs th scond lowst utiliztion

pg 677: Th following rfrncs r missing Kingmn, J.F.C. 1961. Th Singl Srvr Quu in Hvy Trffic. Procdings of th Cmbridg Philosophicl Socity 57: 9-4. Mdhi, J. 1991. Stochstic Modls in Quuing Thory. Boston, MA: Acdmic Prss.