Errata (1 st Edition)

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1 P Sandborn, os Analysis of Elecronic Sysems, s Ediion, orld Scienific, Singapore, 03 Erraa ( s Ediion) S K 05D Page 8 Equaion (7) should be, E 05D E Nu e S K he L appearing in he equaion in he book does in fac appear in he original reference [], hoever, in he original reference i is mean o indicae a floor funcion, no he variable L Page 5, he line afer Equaion (337), ( in + + )/Y in Y Y should be ( in + + )/(Y in Y Y ) Page 55 Problem 36 should refer o Equaion (330) Page 75 In iem 3) in Secion 94 N U should be NU Page 78 he second line from he boom of he page, 95% should be removed Page 87 In Problem 93 N U should be NU Page 87, Problem 98 in he figure, 9 = x = 50 should be 9 x 50 Page Problem 03, he difference in cos beeen unis 5 and 5 should be $053 Page 48 Problem 0, he problem is missing a repair operaion se-up cos (assume $500 for each case) Page 53 Games po should be GameSop Page 6 he second and hird senences in he paragraph before Equaion (35) should read: he expeced number of firs-ime arrany claims in he inerval (0,] is αf(); if e assume a consan failure rae hen his becomes α(-e -λ ) herefore, he expeced number of arrany claims in an incremenal ime, d, is αλe -λ d (if he failure rae is small, his can be approximaed using αλd Page 8 In iem () in Secion 44, -F( ) should be F( ) Page 9 In he senence before Equaion (53), and should be siched Page 9 Foonoe 4, µ is he ln() should be µ is he mean of ln() Page 30 he definiion of i afer Equaion (63) should be jus he year, no he years unil refresh Page 30 Afer Equaion (65), in he daa for he example case shon in Fig 66 Y R = 0 should be omied he soluion is a funcion of Y R Page 3 he line afer Equaion (67) should read: Solving Equaion (67) for Y R e ge 9 Page 3 he second Equaion (67) should be (68) Page 34 Equaion (68) should be (69) Pages In Problems 6 and 6, DRI 0 should be DR 0

2 Page 376 In Problem 9b, he burden rae should be 06 o be consisen ih he definiion of burden rae in Equaion (3) Page 393 V n = fuure value, no presen value Pages f * (s), m * (s), g * (s) should be f ˆ ( s ), mˆ ( s) and gˆ ( s) respecively Erraa (online Kindle Ediion only) ( s Ediion) Secion 83 M N should be N ou N ou 0 0 N N Secion 33 In Equaion (3), should be

3 larificaions and ommens ( s Ediion) Secion 33 Ofen each process sep ill have is on yield model herefore, he mos general ay o accumulae yield is o calculae he individual sep yields and ake he produc, as opposed o summing he defec densiies hrough he process seps and calculaing he yield from he oal defec densiy (his assumes ha all he seps are governed by he same yield model) Secion 44 In he final paragraph a calculaion is performed o deermine he value of of Machine B from he OO analysis his calculaion resuls in a value of $309/afer, hich is incorrec he problem ih his calculaion is ha he producion penaly is no par of he cos of Machine B and should be removed he producion penaly is included for comparison purposes only ih he producion penaly removed, he effecive cos per afer is $379/5498 = $068 here is sill nearly an order of magniude difference beeen he esimaed equipmen cos from Secion 3 and his esimae (068 >> 0087) Equaion (4) does no accoun for he folloing: salvage value, consumable coss, labor coss associaed ih mainenance, produc invesmen los (scrappage) due o errors caused by his machine, produc repair coss due o errors caused by his machine (his is a large conribuion), and los produc cos (his is also a large conribuion) Equaion (4) aemps o accoun for all he susainmen and he performance cos associaed ih he machine, ih a single facor of 06 uilizaion Page 79 Noe ha he AB oal for Produc B in able 54 is acually $9474 (all he able 54 numbers are rounded o he neares dollar) herefore (in he second line from he boom of he page) he oal AB expendiure for boh producs is: (00)($65)+(950)($9474) = $40,000, hich is exacly he same as he oal expendiure using he A approach Page Equaions (74) and (75) ere previously derived in Secion 3 Secion 76 I is unclear from he ex ha parallel es seps means If he parallel es in Figure 7 effecively represens a single es ha has a differen faul coverage ih respec o o differen defec ypes ( and ), ha are Y ou, ou and S? Assuming ha he oal es cos is jus es and ha defecs and are independen, ie, no pars have boh defecs and In his case, Y in = Y in Y in and Y ou is correcly given by Equaion (754) If e le es = es and es = 0 (of vice versa) hen ou becomes, in es ou fc f c (755) Yin Yin and he oal scrap is P, S c fc Y f Y in in (756) Noe, here are oher possible inerpreaions of a parallel es sep and Figure 7 One alernaive is ha if Figure 70 represens a logical AND, hen Figure 7 could represen a logical OR In his case, he parallel es sep requires a gaekeeper ha sors pars ino eiher es or es (bu no boh) If his is he case hen an addiional parameer is needed ha defines he fracion of he pars sored ino one or he oher es Page 63 Problem 8 Assume ha he process remains a single-pass process, ie, he modules scrapped by he es sep afer reork are scrapped (no diagnosed and reorked again) Page 79 he confidence levels in able 9 are o-sided confidence inervals Page 80 Las line, $44 (77) means ha here are 77 values ha are belo $44

4 Page 87 he confidence saed in Problem 96 is a o-sided confidence inerval Page 05 Figure 0 and he paragraph ha surrounds i incorrecly implies ha he learning index from he cumulaive average learning curve can be used o find he midpoin in he uni learning curve his is no correc he learning index for he cumulaive average learning curve and he uni learning curve are in general no he same In order o use he midpoin formula in Equaion (00), he learning index for he uni learning curve mus be found Page 4 he z ha appears in Equaion (4) is a single-sided z-score (he z ha appears in Equaion (9) is o-sided) Page 48 Problem 0 is an Economic Producion Quaniy (EPQ) problem EPQ is a simple exension of EOQ, bu is no covered in haper Page 6 he exac form of Equaions (35)-(37) are (he presen version of hese equaions are valid only for small failure rae): d ( r ) Rb e d θ e d (35) r 0 θ e θ d e (36) p r e θ (37) Page 6-63 Using he exac for of Equaions (35)-(37), he example a he boom of page 6 and he op of he page has a final value of $0486 (and corresponding correcions o he las paragraph in Secion 33) Page 64 he exac form of Equaion (334) is (he presen version of his equaion is only valid for small failure rae): E X ( ) 0 αθ e r e α d r r e r (334) Page 94 m is used in Equaion (5) and associaed discussion o represen he number of backorders his usage of m does no appear in he Noaion Appendix for haper 5 m is also used in his haper o represen he reneal densiy funcion Pages 3-35 he use of a normal disribuion for represening demand is in general inappropriae since he normal disribuion includes values of demand ha are less han 0 he analysis can be done ih any disribuion and a disribuion hich canno have values belo 0 ould be more appropriae for he example chosen Page 3 A disincion should be made beeen Y R and he Y R ha minimizes life-cycle cos he horizonal axis in Fig 66 is Y R ; he Y R appearing in Equaion (67) and he ex afer Equaion (67) is he Y R ha minimizes life-cycle cos Page 3 Equaion (67) is only applicable hen r > 0 (non-zero discoun rae) and r Ro P 0 Q For cases here r = 0 or r Ro < P 0 Q he opimum refresh dae is a Y R = 0

5 Pages 39-3 he Porer model only reas he cos of supporing he sysem up o he refresh, ie, here is no accommodaion for coss incurred afer he refresh In he Porer model, he analysis erminaes a Y R his means ha he ime span beeen he refresh (Y R ) and he end of suppor of he sysem is no modeled, ie, he coss associaed ih buying pars afer he refresh o suppor he sysem o some fuure end-of-suppor dae are no included and are no relevan for deermining he opimum refresh dae Page 335 In able 7, $30,000 is per person Page 337, In Equaion (74), r should be a fracion and D S and M S mus be percenages Page 375, Problem 9, he able describing he o groups appears a he op of page 43 Boh groups use he echnical omplexiy Facors given Page 376, Problem 9b, he informaion o solve his par is no conained in he chaper You mus consul [Ref 98] o obain he appropriae conversion facors

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