A Generalized Software Fault Classification Model

Transcription

1 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur A Grlz Sofwr Ful Clssfco Mol OMAR SHATNAWI PK KAPUR Dpr of Copur Scc, Al l-by Uvrsy, Mfrq 5, JORDAN Dpr of Oprol Rsrch, Uvrsy of Dlh, Dlh 0007, INDIA rol@lycosco Asrc: - Mos o-hoogous Posso procss NHPP s sofwr rlly growh ols SRGMs prs h lrur ssu h h fuls h sofwr r of h s yp Howvr, hs ssupo s o ruly rprsv of rly I hs osrv h h sofwr cos ffr yps of fuls ch ful rqurs ffr srgs ffr ou of sg-ffor o rov If hs ssupo s o k o ccou, h SRGM y gv slg rsuls Ths ppr proposs grlz ol s o clssfco h fuls h sofwr sys ccorg o hr rovl coplxy Th rovl coplxy s proporol o h ou of sg-ffor rqur o rov h ful Th sg-ffor xpurs r rprs y h ur of sgs rqur o rov h ful fr h flur osrvo / ful solo wh ly w h sgs Thrfor, xplcly ks o ccou h fuls of ffr svry c cpur vrly h growh curvs pg o h vro s g us h s hs h cply o ruc hr o xpol or S-shp growh curvs Such ollg pproch s vry uch su for oc-or progrg sru vlop vros Acul sofwr rlly hv us o osr h propos grlz ol Ky-Wors: - Sofwr grg, Sofwr sg, Sofwr rlly, NHPP, SRGM, Ful svry Irouco Sofwr rlly ollg s vry por u o h fc h s o possl o prouc ful-fr sofwr Th fuls h sofwr occur u o hu prfco Ths fuls fs hslvs rs of flurs wh h sofwr s ru Tsg phs h sofwr vlop procss s cg rovg hs fuls kg h sofwr or rll Thus s vry por o vlu sofwr rlly urg sg phs, s o sofwr ful lyss Mols cocr wh h rloshp w sp of sg h cuulv urs of fuls rov hrough sofwr sg r cll sofwr rlly growh ols SRGMs Bs o o-hoogous Posso procss NHPP, svrl SRGMs hv vlop cus h ols c sly ppl cul sofwr vlop I h sofwr rlly lrur, os rsrchrs ssu cos ful rovl r pr ful rvg hr NHPP s SRGMs [-4] Th s, hy ssu h ll fuls hv qul proly of g rov urg h sofwr sg procss, h r rs cos I rly, h ful rovl r srogly ps o h skll of s s, progr sz sofwr sly [5-8] Through rl xprs lyzs o svrl sofwr vlop procs, hs osrv h h ful rovl r hs hr possl rs s progrsss: crsg, crsg or coss I crss wh h sofwr hs us s rply, showg rlly growh I c lso crs f h sg chqus or rqurs r chg, or w fuls r rouc u o w sofwr furs or prfc uggg Th lrgprocss of s- hs lso su Th lrg s closly rl o h chgs h ffccy of sg urg sg phs Th s h orgzos h hv vc sofwr-procss, srs gh llow o prov yclly hr sg procss s hy lr or ou h prouc Ths coul rsul ful rovl r whch crss oooclly ovr h sg pro Lrg usully fss slf s chgg ful co r To cpur h lrg-procss, h rsrchrs op -p ful rovl r [9-] Th rs of hs ppr s orgz s follows: Sco rvss h sofwr ful clssfco ol xs o forul h propos grlz sofwr ful clssfco ol Scos 4 prs h ho us for prr so, h crr us for vlo slco rspcvly Sco 5 ISSN: Issu 9, Volu 7, Spr 008

2 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur 6 prov h pplcos of h propos ol o cul sofwr rlly ss c fro rl sofwr vlop procs ol slco rspcvly Ths ppr coclus Sco 7 Sofwr Rlly Mollg Mol Dvlop Mos SRGMs vlop h lrur, ssu h h fuls h sofwr r of h s yp Ths ssupo pls h h ful rovl r pr rg ful s p of h sg h ful rovl sy s lrly proporol o h rg fuls Such ssupo hlps o splfy h prol of ollg provs o cr x plusl rsuls Howvr, hs ssupo s o ruly rprsv of rly I hs osrv h h sofwr cos ffr yps of fuls ch ful rqurs ffr srgs ffr ou of sg-ffor o rov If hs ssupo s o k o ccou, h SRGM y gv slg rsuls To rss hs ssu svrl SRGMs hv vlop h lrur Oh propos h hypr xpol ol, ssug h sofwr cosss of ffr ouls [] Ech oul hs s ow chrcrscs hus h fuls c prculr oul hv hr ow pculrs Thrfor, h ful rovl r for ch oul s o h s H suggs h h ful rovl procss for ch oul c oll sprly h ol ful rovl phoo s h su of h ful rovl procss of ll h ouls Y l propos of xpol ol ssug h h sofwr cos wo yps of fuls ly, spl hr [] Boh fuls r oll sprly ccorgly h ful rovl procss s h su of h wo ols Krr l propos ol wh wo yps of fuls [4] For ch yp, h ful rovl r pr rg fuls s ssu o p Ech ful yp s oll y h Dly S-shp ol [5] Th ol rovl phoo s oll y h suprposo of h wo ols Kur l propos h xpol S-shp ol [5] Ths ol g ssus h h sofwr cos wo yps of fuls ly, spl hr Th rovl of spl fuls s scr y h xpol ol [4] whl h rovl of hr fuls s scr y h Dly S-shp ol [5] Th ol ful rovl procss s g h suprposo of h wo ols Kpur l propos ol wh hr yps of fuls [6], oll y h xpol ol [4], h Dly S-shp ol [5] h hr-sg Erlg ol [7] For ch yp, h ful rovl r s ssu o cos I ll hs vlop ols, h uhors gor h rol of h lrg-procss urg h sg phs y o ccoug for h xprc g wh h progrss of sg To rss hs ssus, w hv rcly propos sofwr ful clssfco ol s o h ssupo h h sg phs cosss of hr procsss ly, flur osrvo, ful solo ful rovl [8] I hs ol, sofwr fuls r clssf o hr yps ly, spl, hr coplx ccorg o h ou of sg-ffor o rov h Th ly w h flur osrvo h susqu ful rovl s ssu o rprs h svry of h fuls Th ol lso corpors logsc lrg fuco urg h rovl phs s s xpc h lrg-procss wll grow wh Th ol ful rovl phoo s h suprposo of h hr procsss Th ol h vl copr wh h wll-slsh NHPP ols clug xpol [4], ly S-shp [5] flco S-shp [6-8] s o cul sofwr rlly Th rsuls wr fou o frly courgg rs of gooss-of-f, prcv vly, rlly vluo surs I hs ppr, h sofwr ful clssfco ol wh hr yps of fuls [8] s rvs furhr x o rprs sofwr sys wh or h hr yps of fuls A ho s op o slc h ur of fuls yp, whch c clu h propos grlz sofwr ful clssfco ol, so h h ol fs prcs h ful rovl procss ssfcorly [] Mol Assupos Flur occurrc, ful co, or ful rovl pho follow NHPP wh vlu fuco GE- Fuls r clssf pg o hr svry ccorgly ffors r o c rov h Ful rovl procss s prfc 4 Ech flur occurs, ly ffor ks plc o c h cus of h flur orr o rov Th ISSN: Issu 9, Volu 7, Spr 008

3 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur ly w h flur osrvo s susqu ful rovl s ssu o rprs h svry of h fuls Th or svr h ful, or h ly 5 Ful rovl coplxy s proporol o h ou of sg-ffor h ur rov h ful Th sg-ffor xpurs r rprs y h ur of sgs rqur o rov h ful fr flur osrvo / ful co wh ly w h sgs 6 Ful rovl r of h frs ful yp s proporoly cos for h rg fuls yps s logsc fuco s s xpc h lrg-procss wll grow wh Mol Noos Il ful-co of h sofwr Typ of ful,,,, Il co of ful-yp Proporoly cos rprss flur r / ful solos / ful rovl r pr ful for ful-yp Logsc lrg-procss fuco,, ful rovl r pr ful for ful-yp M ur of ful rov of yp ur of procsss sgs y Cos prr h logsc lrg fuco 4 Mol Forulo Assug h h sofwr cos ffr yps of fuls o ch yp of ful ffr srgy s rqur o rov h cus of flurs u o h ful W ssu h for yp,,,, ful, ffr procsss sgs r rqur o c/rov h cus of h flur Th -p ful rovl r pr ful for,,, ful-yp, whch s ocrsg S-shp curv cpur h lrg-procss of h sofwr srs gv s Th xpc ur of fuls rov, Δ s proporol o h ur of fuls rg o rov Accorgly w y wr h followg ffrl quos: For For For 4 Solvg h ffrl quos gv,, 4 ur h l coos 00, 00, 00 rspcvly w g 5 Th sofwr ful clssfco ol s h suprposo of h hr NHPP wh vlu fucos gv 5 Thus, h vlu fuco of h suprpos NHPP s GE 0! 6 Th rovl r pr fuls for h frs hr yps of fuls s gv s 7 ISSN: Issu 9, Volu 7, Spr 008

4 W osrv h s cos wh rspc o whl crs oooclly wh o coss rspcvly s Thus, h sy s, ful growh curvs hv slr o h ful growh curv hc hr s o loss of grly ssug h sy s rs o qul o Susug h rgh h s of quo 6, yls o < <, whch s ccorc wh h svry of h fuls [,9] Assug sy, h quo 6 c wr s 0! GE 8 Th prov h prforc of h sofwr ful clssfco ol ws ru o h cluso of hr yps of fuls [8] Ths osrvo rsuls suggs h h cluso of or ful yp h sofwr ful clssfco ol y furhr prov s prforc Th procur follow quos,, 4 c x o forul h propos grlz sofwr ful clssfco ol wh yps of fuls Slrly for, w hv 9 No h h frs suscrp ss for h yp of ful h sco suscrp ss for h ur of procsss sgs rqur o rov h ful fr flur occurrc / ful co s p o h yp of h ful,, f h ful s of h yp k, h wll rov k sgs cus of s coplxy Solvg h ffrl quos,, 4, 9 rspcvly w g! 0 0 Th propos grlz sofwr ful clssfco ol s h suprposo of ll h NHPP wh vlu fucos gv 0 Thus, h vlu fuco of h suprpos NHPP s GE 0! Th lyss follow quo 7 c g ppl Thrfor, ssu Accorgly, quo c rwr s GE 0! Th xpol, ly S-shp, flco S- shp, xpol S-shp, grlz Erlg, sofwr ful clssfco ols gv [4,5,6-8,5,,8] rspcvly, c o fro propos grlz sofwr ful clssfco ol gv quo Thus hgh lghg s pplcly flxly Hr, w s h propos grlz sofwr ful clssfco ol wh,, 4, 5 yps of fuls Ths ols r rfrr o GF-, GF-, GF- 4, GF-5 rspcvly WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur ISSN: Issu 9, Volu 7, Spr 008

5 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur Prr Eso Tchqu Th xu lklhoo so MLE ho s us o s h prrs of h propos grlz sofwr ful clssfco ol gv quo Sc ll h ss us r gv h for of prs,x,,,k, whr x s h cuulv ur of fuls c y 0< < < < k s h ccuul sp o rov x fuls Th Lklhoo fuco L for h ukow prrs wh h vlu fuco s gv s k x x L Prr, x x x! Th MLE of h SRGM prrs c o o y xzg quo wh rspc o h cosrs: 0, 0<<, 0 4 Mol Vlo To chck h vly of h propos grlz sofwr ful clssfco ol o scr h sofwr rlly growh, hs s o four sofwr rlly ss o fro rl sofwr vlop procs Th frs s DS-I h collc urg 0 wks of sg 0,000 CPU hours wr ulz o of four or rlss of h sofwr proucs T Copurs Copy, Los Aglos CA, 00 fuls wr c urg h pro [] Th sco s DS-II h collc urg ys of sg rl oor corol sofwr sys coss of ou 00 ouls, o vrg hs KLOC wr FORTRAN, 48 fuls wr c urg h pro [] Th hr s DS-III h collc urg ohs of sg co, corol couco sofwr sys of sz 7K LOC wr y CENTRAN ALC, 657 fuls wr c urg h pro [0] Th fourh s DS-IV h collc urg 5 ohs of sg fs, grou s rr sofwr sys of sz 4K LOC wr y Jovl, 0 fuls wr c urg h pro [0] Th prforc of SRGM ug y s ly o f h ps sofwr ful goossof-f o prc ssfcorly h fuur hvor of h ful rovl procss fro prs ps hvour prcv vly [,] 4 Th Gooss-of-F Crr 4 Th Su of Squr Error SSE Ths rcs surs h sc of ol s vlu fro h cul, f s k SSE ˆ x 4 GE whr k s h ur of osrvos, ˆ s h s cuulv ur of fuls y o fro h f vlu fuco x s h ol ur of fuls rov y Lowr vlu of SSE cs lss fg rror, hus r gooss-of-f 4 Th Akk Iforo Crro AIC Ths rcs surs h ly of ol o xz h lklhoo fuco h s rcly rl o h gr of fro urg fg, f s AIC log Mx of L N 5 whr N s h ur of h prrs us h ol L lklhoo fuco Lowr vlu of AIC cs or cofc h ol hus r f prcv vly 4 Coffc of Mulpl Dro R Ths rc surs h prcg of h ol vro ou h ccou for y h f curv I rgs vlu fro 0 o W f hs coffc s h ro of h Su of Squrs SS rsulg fro h r ol o h fro cos ol surc fro, h s rsul SS R 6 corrc SS Sll vlus c h h ol os o f h wll 4 Th Prcv Vly Crro Prcv vly s f s h cply of h SRGM o r h ful rovl pho fro prs ps ful rovl Ths cply s sgfc oly wh h ful rovl pho r chgg [] Suppos h w hv fou x k fuls y h sg k Th ful rovl up o k,, h sofwr rlly s ruc o r us o s h prrs of h SRGM Th ur of fuls rovls y k c prc y h SRGM copr o h rpor ful rovl hs,, x k GE ISSN: Issu 9, Volu 7, Spr 008

6 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur W c chck h prcv vly y ulg h rlv prco rror RPE vlus gs h sg progrss ro / k prc for sofwr rlly Th rlv prco rror RPE s f s ˆ GE k xk RPE 7 xk whr ˆ GE s h prc cuulv ur of fuls y k Th RPE wll pproch zro s pprochs k If h RPE vlus r posv/gv, h ol s o ovrs/urs h fuur ful rovl pho Nurs closr o zro ply or ccur prco Th rlv rror s s o ccpl f s wh ±0 prc [] 4 Mol Slco Crr Th sofwr rlly h coprso crr us rlr r ppl o chck h prforc of h propos grlz sofwr ful clssfco ol Th r ruc o ffr proporos us o s h prrs of h ols ur coprso For ch ruco, o vlu SSE RPE r o [] For gv ol, hs vlus y vry fro o po o ohr To sur h prforc of h ols ur coprso ll ovr h rucos, h followg crr r us Avrg Su of Squr Error ASSE SSE ASSE 8 whr s h ur of rucos SSE s h SSE of h h s ruco Avrg Rlv Prco Error ARPE RPE ARPE 9 whr RPE s h solu vlu of h RPE of h h s ruco 5 D Alyss Mol Coprsos Th sofwr rlly h coprso crr rs of gooss-of-f prcv vly f rlr Sco 4 r ppl o chck h prforc of h propos grlz sofwr ful clssfco ol f quo wh yps of fuls As h ur of ful yps y o lrg, ollg ch ful yp vully s o prcclly possl Howvr, f h fuls clssf o sllr ur of groups, whr ch group cos h fuls of coo chrcrscs, h ur of fuls c ruc Thrfor, w hv s hs propos grlz ol for oly fv yps of fuls Th s, h ols ur coprso r GF-, GF-, GF-4, GF-5 h ss h prsc of,, 4, 5 yps of fuls rspcvly 5 Frs Sofwr Dvlop Proc Th rsuls of h prr so h gooss-of-f rcs rs of SSE, AIC, R of h ols ur coprso r gv Tls rspcvly O pplyg GF-, h ol rvls h prsc of wo yps of fuls whr h ory r of yp Accorgly, h ful rovl pho r scr y coo of yps O pplyg GF-, h ol rvls h prsc of wo yps of fuls whr h ory r of yp Accorgly, h ful rovl pho r scr y coo of yps O pplyg GF-4, h ol rvls h prsc of hr yps of fuls whr h ory r of yp 4 Accorgly, h ful rovl pho r scr y coo of yps,, 4 O pplyg GF-5, h ol rvls h prsc of wo yps of fuls whr h ory r of yp 5 Accorgly, h ful rovl pho r scr y coo of yps 5 Th uro of s usfs h so of hgh coplxy ful-yp whch rqur or sg-ffor o rov I s clr fro Tl h h rsuls of h goossof-f rcs r sgfcly provg wh h rouco of or yps of fuls Tl Prr Eso Rsuls DS-I Mols ur Prr Eso Coprso 4 5 GF GF GF GF Tl Gooss-of-F Rsuls DS-I Mols ur Coprso Crr Coprso SSE AIC R GF GF GF GF ISSN: Issu 9, Volu 7, Spr 008

7 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur Th rsuls of h SSE RPE of h ols ur coprso for ffr rucos of h s r gv Tls 4 rspcvly I s osrv h h vlus vry fro o ruco o ohr Ovrll h vlus r sgfcly provg wh h rouco of or yps of fuls I s osrv h h vlus vry fro o ruco o ohr I s clr fro Tl 4 h h vlus ovrss h ful rovl procss xcp wh h sg progrss ro s ou 80% o pplyg GF-, 70% 60% o pplyg GF- GF- urss h ful co procss Tl SSE Mrc Rsuls DS-I Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Tl 4 RPE% Mrc Rsuls DS-I Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Sco Sofwr Dvlop Proc Th rsuls of h prr so h gooss-of-f rcs rs of SSE, AIC, R of h ols ur coprso r gv Tls 5 6 rspcvly O pplyg GF-, h ol rvls h prsc of wo yps of fuls whr h ory r of yp Accorgly, h ful rovl pho r scr y coo of yps O pplyg GF-, GF-4 GF-5, hy ols ruc o GF- Th uro of s usfs h so of low coplxy ful-yp I s clr fro Tl 6 h h rsuls r o provg wh h rouco of or h wo yps of fuls Tl 5 Prr Eso Rsuls DS-II Mols ur Prr Eso Coprso 4 5 GF GF GF GF Tl 6 Gooss-of-F Rsuls DS-II Mols ur Coprso Crr Coprso SSE AIC R GF GF GF GF Th rsuls of h SSE RPE of h ols ur coprso for ffr rucos of h s r gv Tl 7 8 rspcvly I s osrv h h vlus o o vry fro o ruco o ohr I s clr fro Tl 8 h h vlus ovrs h ful rovl procss Tl 7 SSE Mrc Rsuls DS-II Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Tl 8 RPE% Mrc Rsuls DS-II Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Thr Sofwr Dvlop Proc Th rsuls of h prr so h gooss-of-f rcs rs of SSE, AIC, R of h ols ur coprso r gv Tls 9 0 rspcvly O pplyg GF-, h ol rucs o GF- O pplyg GF-, h ol rvls h prsc of hr yps of fuls whr h ory r of yp Accorgly, h ful rovl pho r scr y coo of yps,, O pplyg GF-4, h ol rvls h prsc of hr yps of fuls whr h ory r of yp 4 Accorgly, h ful rovl pho r scr y coo of yps,, 4 O pplyg GF-5, h ol rvls h prsc of wo yps of fuls whr h ory r of yp 5 Accorgly, h ful rovl pho r scr y coo of yps,, 5 Th uro of s usfs h so of hgh coplxy ful-yp I s clr fro Tl 0 h h rsuls r sgfcly provg wh h rouco of or yps of fuls ISSN: Issu 9, Volu 7, Spr 008

8 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur Tl 9 Prr Eso Rsuls DS-III Mols ur Prr Eso Coprso 4 5 GF GF GF GF Tl 0 Gooss-of-F Rsuls DS-III Mols ur Coprso Crr Coprso SSE AIC R GF GF GF GF Th rsuls of h SSE RPE of h ols ur coprso for ffr rucos of h s r gv Tls rspcvly I s osrv h h vlus vry fro o ruco o ohr Th vlus of GF-5 r h lows xcp for ruco 70% Ovrll h vlus r sgfcly provg wh h rouco of or yps of fuls Th vlus of h ols ur coprso ovrss h ful rovl procss xcp wh h sg progrss ro s ou 70% o pplyg GF- 60% xcp for GF-5 urss h ful rovl procss Tl SSE Mrc Rsuls DS-III Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Tl : RPE% Mrc Rsuls DS-III Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Fourh Sofwr Dvlop Proc Th rsuls of h prr so h gooss-of-f rcs rs of SSE, AIC, R of h ols ur coprso r gv Tls 4 rspcvly O pplyg GF-, h ol rvls h prsc of wo yps of fuls whr h ory r of yp Accorgly, h ful rovl pho r scr y coo of yps O pplyg GF-, h ol rucs o GF- O pplyg GF-4, h ol rvls h prsc of hr yps of fuls whr h ory r of yp Accorgly, h ful rovl pho r scr y coo of yps,, O pplyg GF-5, h ol rucs o GF- 4 Th uro of s usfs h so of hgh coplxy ful-yp I s clr fro Tl 4 h h rsuls r provg wh h rouco of or yps of fuls Tl Prr Eso Rsuls DS-IV Mols ur Prr Eso Coprso 4 5 Β GF GF GF GF Tl 4 Gooss-of-F Rsuls DS-IV Mols ur Coprso Crr Coprso SSE AIC R GF GF GF GF Th rsuls of h SSE RPE of h ols ur coprso for ffr rucos of h s r gv Tls 5 6 rspcvly I Ovrll h vlus r sgfcly provg wh h rouco of or yps of fuls I s clr fro Tl 6 h h vlus ovrss h ful rovl procss xcp wh h sg progrss ro s ou 70%, 80%, 90% o pplyg GF- GF- urss h ful rovl procss Tl 5: SSE Mrc Rsuls DS-IV Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF Tl 6: RPE% Mrc Rsuls DS-IV Mols ur Tsg Progrss Ro Coprso 60% 70% 80% 90% GF GF GF GF ISSN: Issu 9, Volu 7, Spr 008

9 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur 6 Mol Slco As scuss rlr Sco 5, h propos grlz sofwr ful clssfco ol ws l prov goo f prcv vly for ll sofwr rlly ss I s osrv h for ch s o vrso of h propos grlz ol wh spcfc coo of fuls yps s slc Th GF-5 c slc o ol DS-I DS-III, whl GF- s slc o ol DS-II DS-IV Th prol s h h ol slco s o o sp procss I so css, hr ws corco w h gooss-of-f h prcv vly Also, w hv osrv h usg h propos grlz ol wh hghr ur of fuls provs h gooss-of-f h prcv vly so css s DS-I DS-III whl os o hlp ohr cs s DS-II DS-IV I hs sco, w slc h s grlz sofwr ful clssfco ol wh opu u ur of fuls yps Th ol slco hoology s spl W hv o slc fro h ols ur coprsos, h o h provs h u vlus of ASSE ARPE Tl 7 shows h h vlus of h ASSE r crsg wh h crs ur of fuls yps whl ARPE r crsg wh h crs ur of fuls yps xcp for GF- Sc h ARPE of h propos grlz sofwr ful clssfco ol wh fv yps of fuls, GF-5 s wh h ccpl lvl, c slc for h frs sofwr vlop proc Th slco of hs ol os o cssrly h hr r fv yps of fuls h sofwr, u s h h sofwr sys cos fuls of yp fv, hghly coplx fuls, s Tl hus hghlghg s flxly Tl 7: Ovrll Prforc Rsuls DS-I Mols ur Ovrll Prforc Crr Coprso ASSE ARPE% GF GF GF GF Tl 8 shows h h vlus of ASSE ARPE r h s sp of crsg h ur of yps of fuls Thus, h propos grlz sofwr ful clssfco ol wh wo yps of fuls, GF- c slc for h sco sofwr vlop proc Tl 8: Ovrll Prforc Rsuls DS-II Mols ur Ovrll Prforc Crr Coprso ASSE ARPE% GF GF GF GF Tl 9 shows h h vlus of ASSE r crsg wh h crs ur of fuls yps whl ARPE vlus r vry clos o ch ohr I s clr h h propos grlz sofwr ful clssfco ol wh fv yps of fuls, GF-5 c slc for h hr sofwr vlop proc Tl 9: Ovrll Prforc Rsuls DS-III Mols ur Ovrll Prforc Crr Coprso ASSE ARPE% GF GF GF GF Tl 0 shows h h vlus of ASSE ARPE r crsg wh h crs ur of fuls yps I s clr h h propos grlz sofwr ful clssfco ol wh four yps of fuls, GF-4 c slc for h fourh sofwr vlop proc Tl 0: Ovrll Prforc Rsuls DS-IV Mols ur Ovrll Prforc Crr Coprso ASSE ARPE% GF GF GF GF Cocluso Th uf ollg pproch op llows h propos grlz sofwr ful clssfco ol o flxl spl Th flxly s chv y ollg h rovl of ch ful yp y spcfc growh curv ccorg o h ful rovl coplxy Th ocv of h uf ollg pproch s o prov ffc, rll, wly pplcl ol Flly, w lv h h pproch follow hs ppr wll hlp o gr x lg h choc of fg h sul ol for prculr sg vro ISSN: Issu 9, Volu 7, Spr 008

10 WSEAS TRANSACTIONS o COMPUTERS Or Shw PK Kpur Rfrcs: [] X M, Sofwr Rlly Mollg, Worl Scfc, 99 [] Kpur PK, Grg RB Kur S, Coruos o Hrwr Sofwr Rlly, Worl Scfc, 999 [] Ph H, Sofwr Rlly, Sprgr- Vrlg 000 [4] Gol AL Okuoo K, T Dp Error Dco R Mol for Sofwr Rlly ohr Prforc Msurs, IEEE Trscos o Rlly, Vol 8, No, 979, pp 06- [5] Y S, Oh M Osk S, S-shp Rlly Growh Mollg for Sofwr Error Dco, IEEE Trscos o Rlly, Vol, No 5, 98, pp [6] Oh M, Iflco S-shp Sofwr Rlly Growh Mol, I: Osk S Hoy Y s Sochsc Mols Rlly Thory, Sprgr-Vrlg, Brl, 984 [7] B S, Blozr P, Pro E, Pozz M Scol A, A Flxl Mollg Approch Sofwr Rlly Growh, I Goos G Hrs I s, Sofwr Rlly Molg Ifco, Sprgr- Vrlg: Brl, 988, pp 0-40 [8] Kpur PK Grg RB, A Sofwr Rlly Growh Mol for Error Dco Phoo Sofwr Egrg Jourl, Vol 7, No 4, 99, pp 9-94 [9] Kuo S, Hug H Lyu MR, Frwork for Mollg Sofwr Rlly usg vrous Tsg-Effor Ful-Dco Rs, IEEE Trscos o Rlly, Vol 50, No, 00, pp 0-0 [0] Ph H, Nor L Zhg X, A Grl Iprfc Sofwr-Duggg Mol wh S-shp Ful Dco R, IEEE Trscos o Rlly, Vol 48, No, 999, pp [] Kpur PK, Gup Au, Shw Or Yvll VSS, A Dscr NHPP Mol for Sofwr Rlly Growh wh Iprfc Ful Duggg Ful Gro, Irol Jourl of Prforly Egrg, Vol, No 4, 006, pp - 4 [] Oh M, Sofwr Rlly Alyss Mols, IBM Jourl of Rsrch Dvlop, Vol 8, No 4, 984, pp [] Y S, Osk S Nrhs H, Sofwr Rlly Growh Mols wh Two Typs of Errors, Rchrch Opéroll / Opros Rsrch RAIRO, Vol 9, No, 985, pp [4] Krr N, Kpur PK Grovr PS, A S- shp Sofwr Rlly Growh Mol wh Two Typs of Errors, Mcrolcrocs Rlly, Vol 0, No 6, 990, pp [5] Kur M, Y S Osk S, Sofwr Rlly Assss for Expol S- shp Rlly Growh Phoo, Copurs Mhcs wh Applcos, Vol 4, No /, 99, pp 7-78 [6] Kpur PK, Yous S Agrwl S, Grlz Erlg Sofwr Rlly Growh Mol, ASOR Bull, Vol 4, No, 995, pp 5- [7] Khoshogofr TM, Nohoogous Posso Procss for Sofwr Rlly Growh, Procgs of h Irol Cofrc o Copuol Sscs COMPSTAT, Cophg, Drk, 988, pp -4 [8] Kpur PK, Shw Or Yvll VSS, A Sofwr Ful Clssfco Mol Souh Afrc Copur Jourl, Issu, 004, pp -9 [9] Kpur PK, Brh AK Shw Or, Why Sofwr Rlly Growh Mollg shoul Df Errors of Dffr Svry, Jourl of h I Sscl Assoco, Vol 40, No, 00, pp 9-4 [0] Brooks WD Moly RW, Tchcl Rpor, Ro Ar Dvlop Cr, Nw York, 980 [] Mus JD, Io A Okuoo K, Sofwr Rlly, McGrw-Hll, 987 [] Juhog G, Hogw L, Xozog Y, Chg ZD, A Sofwr Rlly T Srs Growh Mol wh Kl Flr, WSEAS Trscos o Copurs, Vol 5, No, 006, pp -8 [] Juhog G, Hogw L, Xozog Y, A Sofwr Rlly T Srs Growh Mol Trsfor fro Gol-Okuoo Mol, WSEAS Trscos o Sgl Procss, Vol, No, 005, pp 9-46 [4] Juhog G, Hogw L Xozog Y, A Sofwr Rlly Growh Mol Bs o T Srs Nolr Alyss, WSEAS Trscos o Sgl Procss, Vol, No, 005, pp ISSN: Issu 9, Volu 7, Spr 008