G. Ayyappan 1, J. Udayageetha 2
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1 rol Jourl o S ovv hl rh JS olu 5 u SS 47-7 r & SS 47-4 Ol O: hp://oor/4/47-45 wwwrjourlor Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk Ayypp J Uyh pr o h ohrry Er oll uuhrry pr o h ruhlvr Krjr Ar oll uuhrry *orrpo Auhor: J Uyh pr o h ruhlvr Krjr Ar oll uuhrry Ar: Th ppr or TOUTO / / rl rl -uu y wh prory rv Two uor ro r l rrv h y wo p opou oo pro Ur h pr-pv prory rul h rvr prov rl rv o h rrv uor uj o rkow o rvr vo wh rl rrry vo pro h y o py ur orl rv pro h rrvl o v uor rov h pov uor rv ro h y u rvr rkow Th rpr o h l rvr r r o kow ly Ar opl h ly h rpr pro wll r Ar opl vo rpr pro h rvr o o up h y Th ly rpr up ollow rl ruo Th prory uor who h rvr uy r uu h r rv or wh FFS pl Th rrv low-prory uor o h rvr uy o uu lv h rv r jo h or rrl uor Thy ry hr luk or rv ro h or orovr h hh prory uor o wh h rv v hy y jo h l o h uu k uor wh proly p or lv h y wh proly W or lk o our h low prory uor ur rvr uy or l pro Th p oluo r rv y u upplry vrl hu url pl r pr Kywor: rpv rory Quu y h Arrvl rl uu Or o Srvr o v rrvl Sup lk o: 6K Th rrl uu y r hrr uor rrv wh ll rvr r uy lv h y u r o k o h rv ly Th ol ply vl rol opur louo work For pl lpho y uor h rv uy l u o lk o py Suh uor o llow o uu u wll ry hr luk r o ro w rl h lok uor jo pool o u uor ll or Quu ol wh v uor ohrw kow -uu wr r rou y l989 pl wor h rrvl o v uor h h o rov pov orry uor ro h y Th hrr o v rrvl r rrvl o v uor l ll h uor h y roph rrvl o v uor h rov h uor rv rrvl o v uor h l h uor h o uu v rrvl hv rpr vru orr or hor l h ppr w or h v rrvl o yp rl uu ppl louo work wh y opur work hr h r r h ly o rrl y r yr rol Jourl o S ovv hl rh JS 8
2 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rl uu r r y h ur h h rrv uor who h rvr uy jo h rrl or o ry or hr ru A rvw o rrl uu lrur ou Arljo l 994 Y l994 h lr o rv h oh opoo o rrl uu ll o rrl pol // uu ol wh v rkow o h rvr wr u y A l 5 ulk rrvl rrl uu wh urll rvr prory urr w v y J l 8 Krup l 4 l wh h h rrvl rrl - uu urll rvr wh ly rpr hu J l4 ly h h rrvl prory uu ol wh o Opol rv rvr rkow ly Ayypp l6 u h r oluo o o-prpv prory rrl uu y wh v rrvl wo k o vo rkow ly rpr lk r k For prory uu o u uh pr-pv rv ro o-pr-pv rv A rv pl o o-pr-pv o h rv o uor r o rup ul h whol rv rur opl Thu oly h o h rv o o h w uor o h hh prory l l or h rv Ao h uor wh h l h rok y uul rul or low prory uu uh ro-r-rv FFS l-o-r-rv LFS ro orr or rv OS pr-pv rv uu h rv v o o o h uor o h hh prory l pr h y ll Th rv o h low prory uor ly pr-p y h rrvl o uor o hhr prory l Quu wh p uor hv r h o o y rrhr w oruo y urou rrhr h r O o h por work o lk r w u y Hh 957 rrr 957 who wr h r o rou r whh hy u r r wh l rvr rkov rrvl rv r Suh o S 967 r h Quu wh lk r // y h ppr w propo rrl uu ol p wo yp o pov uor v rrvl wh h ol hrr o rvr orl rkow ly rpr roull k lk o roull vo Wh v uor rrv o oly l h uor rv u lo u rvr lur h pro ll "orl rkow" ol wh h hvour o v rrvl u o ly opur work wh vru o rkow u o r orr Th ppr or / / rl rl -uu y wh prory rv Two r or o uor rrv h y wo p opou oo pro Ur h pr-pv prory rul h rvr prov rl rv o h rrv uor uj o rkow o rvr vo wh rl vo Arrv hh prory uor who h rvr uy wh hhlow prory uor r uuprp h low prory rv h r rv or wh FFS pl Th rrv low-prory uor o h rvr uy o uu lv h rv r jo h or rrl uor Thy ry hr luk or rv ro h or h y o py ur orl rv h rrvl o v uor rov h pov uor rv ro h y u h rvr rkow Th rpr o h l rvr r r o kow ly Ar opl h ly h rpr pro wll r W u h h rvr y k vo wh proly u o vo llow hr v l hh prory uor pr h y Ar opl h rv o h low prory uor h rvr k vo wh proly or ou h rv wh proly y Ar opl vo rpr pro h rvr o o up h y Alo h hh prory uor o wh h rv v hy y jo h l o h uu k uor W or lk o our h low prory uor ur rvr uy or l pro Th ury o h ppr ollow So rouo o prory rrl uu rol Jourl o S ovv hl rh JS 9
3 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk pl opr lrur rvw So l wh ol rpo oo u hl orulo ovr uo o h ol So lu h y oluo o h y So 4 l h oh opoo lw So 5 how h pror ur o h ol So 6 h url rul rph r opu ollow whh h oluo v Follow upo hv ou h uu y : OEL ESTO W or urll l rvr rrl uu ol wh wo yp o uor ly hh prory low-prory uor Th opro o h ol r : Arrvl rrl pro: Two l o uor ly hh prory low-prory uor rrv h y wo p opou oo pro wh rrvl r rpvly L h r orr proly h h o uor rrv h y ur hor rvl o whr > Th rrvl o v > uor ollow oo ruo wh rrvl r Th hh prory uor who h rvr uy uu h rv Th rrv low-prory uor o h rvr uy o uu lv h rv r jo h or rrl uor Th lowprory uor rry or hr rv ro h or h rrl rlly ru wh ruo uo h y uo L h ool proly o oplo o rrl ur h rvl v h h lp rrl o h Srv pro: hh prory uor rrv h low prory uor rv hy pr-p h low prory uor who uro rv hh prory uor o wh h rv v h y jo h l o h uu k uor wh proly p or prly lv h y wh proly p hu h rv o h pr-p low prory uor oly r h oplo o rv o ll hh prory uor pr h y Th rv or h hh prory low prory uor r rllyrrry ru wh ruo uo h y uo rpvly L h ool proly o oplo o h hh prory low prory uor rv ur h rvl v h h lp rv o h rkow : E o v rrvl ur uy pro wll l h y o rk ow rov h uor who urrly rv Th yp o rkow rrr "orl rkow" rol Jourl o S ovv hl rh JS
4 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk ly pr pr ro: Th rok ow rvr o o or rpr ly Thr ly o r h rpr pro Ar h oplo o ly h rpr pro wll r o o r uoly ly r rur ro h rpr h rvr r o rv hh prory/low prory uor Th ly o rpr h rpr pro r rlly ru wh ruo uo y uo r rpvly L h ool proly o oplo o ly rpr ur h rvl v h h lp o h r r o roull o: ll h hh prory uor r rv h h rvr k o roull vo wh proly or ou h rv o h low prory uor wh proly Alo wh vry rv oplo o h low prory uor h rvr y k vo wh proly or ou h rv o h uor wh proly o rlly ru wh ruo uo h y uo v L h ool proly o oplo o vo ur h rvl v h h lp vo o h v v Sup : Ar rur ro vo or rpr pro h rvr k o o up h y o r h y o h rv S up rlly ru wh ruo uo h y uo L h ool proly o oplo o up ur h rvl v h h lp up o h rol Jourl o S ovv hl rh JS lk: h rvr uy or uvll h y rrv low-prory uor hr jo h or wh proly or lk o o jo h or wh proly - l S: Ar o h up hr y uor w h y h rvr r o h rv Ohrw h rvr ply pr h y or h uor o rrv o A oo roly h h rvr vly prov rv o h hh prory uor hr r hh prory uor h uu low prory uor h or lu h o hh prory uor rv wh lp rv
5 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk or h uor o h proly h hr r hh prory uor h uu low prory uor h or lu o hh prory uor rv whou rr o h lp rv o hh prory uor roly h h rvr o vo wh lp vo hr r hh prory uor h uu low prory uor h or o h proly h hr r hh prory uor h uu low prory uor h or whou rr o h lp vo roly h h rvr vly prov rv hr r low prory uor h or lu h o low prory uor rv wh lp rv or h uor o h proly h hr r low prory uor h or lu o low prory uor rv whou rr o h lp rv 4 roly h h rvr o rkow wh lp ly o r rpr hr r hh prory uor h uu low prory uor h or o h proly h hr r hh prory uor h uu low prory uor h or whou rr o h lp ly o rpr 5 roly h h rvr uro rpr pro wh lp rpr hr r hh prory uor h uu low prory uor h or o h proly h hr r hh prory uor h uu low prory uor h or whou rr o h lp rpr 6 roly h h rvr up h y wh lp up hr r hh prory uor h uu low prory uor h or o h proly h hr r hh prory uor h uu low prory uor h or whou rr o h lp up 7 roly h hr r o hh prory uor h uu low-prory uor h or h rvr l u vll h y Euo ovr Th Sy Th Koloorov orwr uo whh ovr h ol: ; rol Jourl o S ovv hl rh JS
6 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS ; ; 4 ; 5 ; 6 ; 7 8 ; 9 ; ; ;
7 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS 4 4 ; 5 ; 6 ; 7 8 ; 9 ; ; ; 4 Th ov o uo r o olv ur h ollow oury oo ; 5
8 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk p ; 6 p ; 7 p ; 8 p 9 ; ; ; ; 4 ; ; 6 ; 7 ; 8 ; 4 ; 4 ; 4 4 W u h lly hr r o uor h y h rvr l Th h l oo r 5 9 rol Jourl o S ovv hl rh JS 5
9 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS 6 44 Th roly r FuoF o h ol: A A 45 whr A whh r ovr h rl v y Th Lpl ror o uo v y y k Lpl ror ro o 4 olv h uo w whr Slrly or h oury oo w p y pply ouh hor o 5 w 4 56 y uu 56 rur uo w
10 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS 7 } { } { 5 p 57 } { } { } { } { 5 58 } { } { } { 6 { } 6 whr {
11 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS 8 } 64 { } 65 { } 66 { 4 } 67 { 4 5 } Thor: Th uly < ry u oo or h y o l ur h oo h rl F o h rvr uu or ruo r v y 7 7 } { 7 7
12 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS 9 } { 74 } { 75 } {{ } 76 STEAY STATE AALYSS: LT EHAOU y pply h wll-kow Tur propry l l o h ov uo w o h Sy- S oluo o h ol } { 79 8 } { 8 } { 8
13 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS } {{ } 8 whr } { } { 5 p 84 } { } { } { } { 5 85 } { } { orr o r w u h orl oo For h l h proly r uo o h uu rrpv o h o h y Th uo ro 77 o 8 w o 87 whr { }} {
14 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS {{ { } { }} }}{ { } orr o o h roly o l w u h orl oo r 88 } { E E r { 6 E E } 4 E E } { E E E 4 STOHAST EOOSTO Thor: Th ur o uor h y ur y opo o wo p roly r uo o o whh h F o h uu ruo h prory rrvl ll -uu urll rvr wh ly rpr h ohr h F o h ool ruo o h ur o uor h or v h h y l Th o h oh opoo propry or our ol or ly y how h 89 roo: Th proly r uo o h y h ll prory rrvl - uu urll rvr wh ly rprup lk v y r r 9 {{ T r
15 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk rol Jourl o S ovv hl rh JS { } { }} }}{ { T } r whr } { 5 p T 9 } { 5 T 9 Th proly r uo o h ur o uor h or wh h y l v y 9 Fro uo 9 9 w h 5 THE AEAE QUEUE LETH Th ur o uor h uu h or ur h y oo L L 94 h L L 5 Th Avr W T Th Quu: Avr w o uor h hh prory uu
16 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk L W 95 Avr w o uor h low prory uu L W 96 whr L L hv ou ov uo 5 rulr : : // Quu ol: hr r o prory rrvl o vo o v rrvl o lk o rrl l rrvl E E Th ol ur uy o ll // uu y h h F o h uy v 97 : // Quu ol: hr r o prory rrvl o vo o v rrvl o lk o rrl h rrvl Th ol ur uy o ll // uu y h h F o h uy v 98 Th ov wo rul r o wh h rul o ro Hrr 985 : hr r o prory rrvl o lk o vo { } { } { } { } { } { } { } { } Th rul o wh Krup K Uy hrk K 4 6 UEAL ESULTS orr o h o r prr o h r o h rvr h ulo or proporo o l w opu o url rul W or h rv vo rpr o polly ru o urlly llur h ly o our rul v h ul vlu whh h ly oo w opu h rol Jourl o S ovv hl rh JS
17 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk ollow l vlu For Tl p For Tl p For Tl p Tl E o o vrou uu hrr rol Jourl o S ovv hl rh JS 4 L Tl E o o vrou uu hrr L Tl E o o vrou uu hrr L Tl lrly how h lo r h rrvl r o hh prory uor h rvr l r whl h ulo or vr uu lh or oh hh prory low prory uor r lo r Tl lrly how h lo r h rrvl r o low prory uor h rvr l r h ulo or vr uu lh or low prory uor r r S h ppr oru ur pr-pv prory rul h rrvl o low prory uor o o h rv o hh prory uor Thror h vr uu w o hh prory uor lwy o L L L W W W W W W
18 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk Tl how h lo r rv r l r whl h ulo or uu w o oh hh prory low prory uor r r 6 rphl Suy W plo h ov rphlly o llur h ly o our rul F rphlly rpr h o hh prory rrvl r ovr h l pro uu lh o h ol lr ro h ur h rrvl r r wh rp o ll ohr prr h uu lh o oh prory uu uy pro r u l r F rphlly rpr h o low prory rrvl r ovr h l pro uu lh o h ol lrly how h lo r h rrvl r o low prory uor h rvr l r h ulo or vr uu lh or low prory uor r r Thouh hr o p o hh prory rrvl h vr uu w o hh prory uor lwy o F rphlly rpr h o rv r ovr h l pro uu lh o h ol u o r rvr r h uu lh o hh low prory uor r r h proporo o l o h rvr r ulo or or uy pro r rol Jourl o S ovv hl rh JS 5
19 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk 7 OLUSO h ppr w ly / / rrl uu wh v uor prory ur o roull vo hul uj o h rvr rkow rpr up v o h o lk o rv y or or opl y y lo prol o r Elly rkow rpr y v uor rrv h rvr whh rov h uor rv wh h rvr uy For h ll rrl ry h ry u oo or h y o l o Th jo ruo o h ur o uor h uu h ur o uor h or rv o w o h oh opoo lw url pl hv rr ou o orv h r o h ur o uor h y or vry prr vlu EFEEES Ayypp Thhlv 6 Tr Aly o / / Quu ol wh rl rory Srv v Arrvl Two k o o rkow ly pr lk Fk o STE: hl Thory ol ol 6 o A oro 5 A l-rvr rrl uu wh rl rrl roull hul Appl h opuo Arljo J Fl 994 Soh opoo or rrl uu Top h A J 6 -poly or // urll rrl -uu wh prpv ru ul-rv J Opr So h huhry L Tplo J 98 A Fr our ulk Quu: Joh Wly & So w York u houhury Ju-hu K A h rrvl rrl uu wh rl rrl ur roull vo hul or urll rvr ly rpr Appl hl oll l E 989 o url work wh v pov l prou or oluo url opu ro Hrr 985 Ful o Quu Thory: Eo Wly w York 9 o rou A prory rrl uu wh v rrvl urll rvr ulpl vo Appl hl oll J hru hrv 8 ulk Arrvl rl Quu wh Urll Srvr rory Surr: rol Jourl o Opro rh ol 5 o 4:4 59 Jwl K 968 rory Quu A pry hu J Ak J 4 h Arrvl rory Quu ol wh So Opol Srv Srvr rkow rol Jourl o Opro rh ol o 4 - Krup K Uy hrk K 4 h rrvl rrl -uu urll rvr ly rprrol Jourl o ovv rh S Er Tholoyol Suh o S 967 Quu wh lk r // y rk To L Lyu Zh 7 A // rl -Quu wh rl rl T Work rkow h opu Appl 5 6 Y T 994 A pproo ho or h // rrl uu wh rl rrl EurJOpr ol rol Jourl o S ovv hl rh JS 6
20 Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk AUTHOS OAHY rayypp proor h pr o h ohrry Er oll H h opl h Al uvry hv yr o h pr H h pulh or h ppr rpu jourl pulh or h ppr ol rol or H r o r r Quu hory lly Aly vory ol JUyh proor pr o h ruhlvr Krjr Ar oll Sh h opl ohrry Uvry hv 6 yr o h pr o: Ayypp J Uyh " Tr Soluo o / / rl uu y wh rory rv o roull o roull Fk v rrvl rkow ly rpr Sup lk " rol Jourl o S ovv hl rh vol 5 o p hp://oor/4/47-45 opyrh: 7 Auhor Th op- rl ru ur h r o h rv oo Aruo L whh pr urr u ruo rprouo y u prov h orl uhor our r r rol Jourl o S ovv hl rh JS 7
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