Optimization Ownership for Internet Protocol TV
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- Domenic Sparks
- 5 years ago
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1 340 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr 009 pimizaion wnrship for Inrn Proocol TV Won, Dalsoo, Dparmn of ompur Scinc Informaion, Bawha Womns Univrsiy, Soul,Kora Summary Th Toal os of wnrship (T) for dvloping communicaion srvics compriss from wo pars; APial EXpndiur (APEX) and Praional EXpndiur (PEX). Ths wo yps of coss ar inrrlad and affc any srvic providr s dploymn sragy. In many radiional mhods, slcion of criical lmns of a nw srvic is prformd in a hurisic mannr aimd a rducing only h PEX par of h T which is no ncssarily opimal. In h currn work, h T opimizaion problm of Inrn Proocol TlVision (IPTV) srvic is formulad as a nonlinar programming on. Th soluion of h proposd opimizaion problm can rack h dynamic changs of h T and lad o a im-varying opimal soluion. Simulaion rsuls vrify h dvlopd mhod. Ky words: Inrn Proocol TlVision (IPTV),Toal os of wnrship (T), APial EXpndiur (APEX), Praional EXpndiur (PEX) 1. Inroducion Inrn Proocol TlVision (IPTV) uss IP as h ranspor plaform o snd vido daa o h lvision via high-spd Inrn conncions such as fibr-o-h-x conncions (FTTx) and/or nx-gnraion digial subscribr lins (xdsl). Wih his chnology, consumrs will b in compl conrol of wha, whn, and whr hy wach lvision programming. Morovr, givn h vrsailiy of h IP nwork, consumrs will hav h opporuniy o mbrac a plhora of srvics ha go byond vido daa. Srvic providrs and /opraors hav o minimiz apial Expndiurs (apx) and praional Expndiurs (px), achiv on im srvic launch, dlivr qualiy of srvic ha will driv srvic adopion and dfin an archicur ha provids upward scalabiliy for siz and srvics. A srvic providr considring h dlivry of an IPTV srvic should considr h oal cos of ownrship (T) whn assssing h mris of diffrn srvic dlivry approachs. Toal cos of ownrship (T) is a financial sima dsignd o hlp consumrs and nrpris managrs assss dirc and indirc coss commonly rlad o sofwar or hardwar. I is a form of full cos accouning. Middlwar and ohr sysms ndd o provid vido ar also par of h oal APEX. In a businss cas, APEX can b brokn ino fixd and variabl pars; fixd bing hos coss o build h rquisi sysm and infrasrucur o dlivr h srvics, and variabl bing hos coss incurrd wih individual subscribr ak ras. PE and in hom insallaion ar considrd variabl coss, along wih DSL lin cards, sinc h APEX is incurrd only whn srvic is akn. Idally, fixd APEX should b minimizd sinc i is h a risk invsmn o nr ino h businss. Variabl APEX, alhough dircly rlad o acual srvic ak ra and rvnu, canno b so xcssiv as o prsn a RI (Rurn on Invsmn ha i cras unaccpabl RI. IPTV businss cass as wll as acual dploymns hav shown ha h in hom PE and insallaion coss amoun o 60% or mor of h oal insalld cos for h IPTV sysm [1]. Wih PE and in-hom insallaion rprsning h largs porion of oal insalld cos, i is h ara bs argd for cos rducion. PEX is composd of funds usd by a company o acquir or upgrad physical asss such as propry, indusrial buildings or quipmn.this yp of oulay is mad by companis o mainain or incras h scop of hir opraion. Ths xpndiurs includ vryhing from rpairing a roof o building a brand nw facory. Vido-on-Dmand (VoD) is a subs of h IPTV srvic. Iniial rials hav bn wll rcivd by cusomrs and nwork opraors ar dploying VoD o incras subscribr rvnus and srvic profiabiliy. VoD allows subscribrs o rqus h programming of hir choic, whn hy wan whr hy wan i. I is his flxibiliy ha appals o h broadr cusomr bas whn compard wih rgularly schduld nwork programming of broadcas vido. In mos radiional mhods, h only objciv is o minimiz h PEX par of h T by slcing criical componns of h srvic in a hurisic mannr. Bu, his approach may no ncssarily rsul in opimal soluion for h srvic providrs. For xampl, in dploying h IPTV srvic in Iran, h srvic providrs slc h numbr of h rquird dg srvrs in ordr o minimiz h PEX par of h T []. Bcaus of is saic naur, his mhod dosn considr h inrrlaions bwn PEX and APEX which varis wih im. For xampl, hough choosing a spcific iniial numbr of dg srvrs may b opimal a h firs sags of srvic dploymn, his may no lad o an opimal Manuscrip rcivd Novmbr 5, 009 Manuscrip rvisd Novmbr 0, 009
2 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr soluion for T minimizaion problm as im lapss. Any soluion for minimizing h T mus ak ino h accoun h dynamic characrisics of h problm as im lapss. In h currn work, a mahmaical approach is dvlopd o minimiz h T. Th proposd mhod racks h dynamic changs in h numbr of subscribrs and aks ino h accoun h subscribrs gographical disribuions and im. Th rs of h papr is organizd as follows: In Scion, w hav an ovrviw on h rlad works. In Scion 3, a brif dscripion of h IPTV srvic and is comprising lmns is givn. Scion 4 is abou h T minimizaion problm. A firs h problm is formulad using appropria modls for APEX and PEX pars of ach IPTV lmn, hn, using appropria numrical mhods [3], a cos opimizaion sragy is dvlopd. Scion 5 dscribs simulaion rsuls and w nd h papr wih som concluding rmarks in h Scion 6.. Rlad works Toal cos of ownrship modling is a ool ha sysmaically accouns for all coss rlad o an IT invsmn dcision. T modls wr iniially dvlopd by Garnr Rsarch orporaion in 1987 and ar now widly accpd. Simply sad, T includs all coss, dirc and indirc, incurrd hroughou h lif cycl of an ass, including acquisiion and procurmn, opraions and mainnanc, and nd-of-lif managmn. T analysis has bn dvlopd in a numbr of diffrn mhodologis and sofwar ools sinc A T assssmn idally offrs a final samn rflcing no only h cos of purchas bu all aspcs in h furhr us and mainnanc of h quipmn, dvic, or sysm considrd. This includs h coss of raining suppor prsonnl and h usrs of h sysm, coss associad wih failur or ouag (plannd and unplannd), diminishd prformanc incidns (i.. if usrs ar kp waiing), coss of scuriy brachs (in loss of rpuaion and rcovry coss), coss of disasr prpardnss and rcovry, floor spac, lcriciy, dvlopmn xpnss, sing infrasrucur and xpnss, qualiy assuranc, boo imag conrol, marginal incrmnal growh, dcommissioning, - was handling, and mor. Whn incorporad in any financial bnfi analysis T provids a cos basis for drmining h conomic valu of ha invsmn. Th T concp is widly usd in h auomobil indusry. In his conx, h T dnos h cos of owning a vhicl from h purchas, hrough is mainnanc, and finally is sal as a usd car. omparaiv T sudis bwn various modls hlp consumrs choos a car o fi hir nds and budg. In [] afr xnsiv mark rsarch, an simaion abou h APEX and PEX of ach IPTV componn is drivd from which w hav dvlopd a mahmaical modl for h T of IPTV srvic in Scion IPTV srvic IPTV dscribs a sysm whr a digial lvision srvic is dlivrd using h Inrn Proocol ovr a nwork infrasrucur,which may includ dlivry by a broadband conncion [4]. For rsidnial usrs, IPTV is ofn providd in conjuncion wih VoD and may b bundld wih Inrn srvics such as Wb accss and VoIP. Th commrcial bundling of IPTV, VoIP and Inrn accss is rfrrd o as a Tripl Play. Adding h mobil voic srvic lads o h Quadrupl Play dnominaion. IPTV is ypically supplid by a broadband opraor using a closd nwork infrasrucur. This closd nwork approach is in compiion wih h dlivry of TV conn ovr h public Inrn. This yp of dlivry is widly calld TV ovr Inrn or Inrn Tlvision. In businsss, IPTV may b usd o dlivr lvision conn ovr corpora LANs and businss nworks. Prhaps a simplr dfiniion of IPTV would b lvision conn ha, insad of bing dlivrd hrough radiional formas and cabling, is rcivd by h viwr hrough h chnologis usd for compur nworks. Broadcas IPTV has wo major archicur forms: fr and f basd. This scor is growing rapidly and major lvision broadcasrs worldwid ar ransmiing hir broadcas signal ovr h Inrn. IPTV channls rquir only an Inrn conncion and an Inrn nabld dvic such as a prsonal compur, ipod, HDTV conncd o a compur or vn a 3G cll/mobil phon o wach h IPTV broadcass. A ypical IPTV scnario is dpicd in h Fig.1. Th basic componns of IPTV srvic ar, vido sraming srvrs [5], dg sraming srvrs usd for load balancing purposs, ncodd conn, ranspor and accss QoS-nabld nworks, (Broadband Rmo Accss Srvr), DSLAM (Digial Subscribr Lin Accss Muliplxr), (S Top Box) and ADSL (Asymmric DSL) modms.
3 34 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr 009 Fig. 1 Typical IPTV srvic scnario Each IPTV componn is associad wih an incurrd APEX and PEX. Som componns such as ranspor nwork ar ou of h srvic providr s conrol and impos only a long-rm PEX on h srvic providr s dploymn sragy and som of h componns such as conn only consis of an iniial APEX and don impos any imporan PEX on h srvic dvlopmn. In h following scions, mahmaical modls for h APEX and PEX of ach IPTV componn ar dvlopd and basd on h proposd modls; a dynamic soluion for h T minimizaion problm is inroducd. 4. Looking a IPTV oal cos of ownrship Thr ar wo approachs o assss h oal cos of ownrship for an IPTV srvic: A hrognous approach,in which mulipl vndors provid diffrn componns of h soluion, ofn wih on or mor sysms ingraors providing h srvics ha bind hs hrognous soluions ino a singl srvic dlivry soluion. In his approach, opraions managmn is ypically layrd on op of h srvic dlivry sysm afr h fac. Mos of h currn IPTV dploymns o da adop his approach. A homognous approach, in which a singl soluions vndor dsigns, builds, ss, validas, and suppors h IPTV srvic dlivry and opraions managmn soluion. Th oal cos of ownrship associad wih an IPTV srvic dpnds on a variy of facors, including: apial xpndiur (APEX) for h srvic dlivry hardwar, sofwar, and nwork infrasrucur. praing xpndiur (PEX) for h dvlopmn, ongoing dlivry, and mainnanc of h srvic dlivry infrasrucur. Som of h PEX will b sar-up coss, such as hos associad wih iniial dploymn, and hos rlad o h ingraion of h IPTV infrasrucur.wih xising businss suppor sysms (BSS), and opraions suppor sysms (SS). hr PEX ar ongoing, including h xpns of day-o-day monioring and managing of h infrasrucur. Sill ohr PEX will aris as h rsul of dcisions o volv h srvic dlivry nwork. Ths xpnss can b sn as projc rlad xpnss, bu dcisions akn upfron abou how h srvic providr will dlivr h IPTV srvic can lad o highr opraions coss, and projcs ha ar mor complx whn i is im o upgrad h srvic dlivry nwork. Ths downsram coss mus b facord ino h T quaion. In addiion o APEX and PEX, srvic providrs can ncounr coss associad wih conn acquisiion. Ths coss can vary basd on rvnu opporuniis a srvic providr can offr a conn providr. Typically, h conn coss ar basd on h numbr of subscribrs. Howvr, h xpandd srvic dlivry opporuniis affordd by IPTV may chang his. If, for xampl, h IPTV srvic offrs subscribrs a chanc o slc alrna camra fds from a sporing vn, h conn providr ha owns hs fds may charg a highr f for conn han i would if subscribrs wr unabl o swich bwn camra fds on hir own. Thrfor, hr may b som variaions in pricing for conn dlivrd ovr IPTV. Howvr, bcaus i is anicipad ha srvic providrs will pass along his yp of addiional conn fs in h form of highr subscripion fs, h n ffc of any conn cos variaions upon T will b ngligibl. onsqunly, conn coss ar no a criical componn in h calculaion of T for h purpos of his aricl. Infrasrucur coss o offr IPTV as a subscribr-orind srvic rquirs invsmn in a plaform o dlivr and manag h srvic. Th srvic providr mus acquir sysms for ncoding and dlivring liv conn as wll as sysms for ncoding, soring, and dlivring vido on dmand (VoD) conn. Th srvic providr mus dploy sysms o manag his conn and is dlivry; i mus also dploy sysms o monior and mainain h nwork, h conn dlivry, and h managmn sysms hmslvs - and ha is jus a high-lvl dscripion of a cnral had-nd insallaion. Thr ar mulipl mro had-nd configuraions o dploy, and hs involv local conn dlivry srvrs, local VD srvrs, local managmn srvrs and mor. T for such a nwork infrasrucur dpnd in par on h srvic dlivry approach ha h providr slcs. A srvic providr, as prviously xplaind, can choos bwn homognous or hrognous approachs. Afr many yars of building voic nworks, h hrognous approach may b familiar o lcos. I
4 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr offrs crain aracions, bcaus i nabls a srvic providr o build a srvic dlivry soluion basd on bs of brd componns ha may hav bn fin-und for h dlivry of IPTV. A h sam im, lcos ar familiar wih h downsid of his approach: bcaus bs of brd producs ar so prcisly focusd on doing on hing wll, hy ar ofn buil on spcializd or propriary archicurs ha ar cosly o acquir and suppor. Morovr, individual componn vndors ar unlikly o hav buil hir producs o inrac wih prcisly h collcion of componns in a givn hrognous srvic dlivry configuraion; hr ar simply oo many possibl configuraions and variaions. Bcaus no singl soluions vndor has sd and validad h nir soluion prior o h srvic providr s acquisiion of hs spara componns, h craion of a hrognous soluion rquirs a cosly and im-consuming sysms ingraion and sing ffor. praions and mainnanc coss Toal cos of ownrship involvs mor han h cos of dploying h hardwar and sofwar associad wih h cor srvic dlivry plaform. Mainaining h highs qualiy of srvic (QoS) across a disribud nwork dmands 4-hour suppor. Th annual cos, fully loadd, of a wll qualifid suppor chnician,, rcurring PEX coss can b among h mos imporan o considr whn calculaing T. Rducing T rquirs an approach o IPTV ha nabls a small opraions managmn am o work fficinly. If h srvic providr chooss h hrognous sysms approach, PEX coss may b much highr han if h srvic providr chooss a homognous sysms approach. Thr ar wo ky rasons why his is ru. Bcaus h individual componns in a hrognous soluion ar ypically spcializd or propriary, hy ypically rquir h anion of suppor prsonnl wih spcializd raining and xprinc - who ypically command highr salaris in h markplac. Morovr, bcaus opraions managmn in h hrognous approach is ypically layrd on op of h soluion as an afrhough, h opraions managmn componn may no b abl o provid h lvls of auomaion and fficincy ha would nabl h srvic providr o suppor a larg disribud nwork wih a lan opraions am. An approach o opraions and mainnanc ha nabls a srvic providr o rly on a lanr and lss cosly suppor saff can hav a dramaic impac on T. Soluions ha rly on sandards-basd commodiy hardwar involv lowr APEX han propriary chnologis. Homognous soluions ypically lowr day-o-day IPTV PEX bcaus hy maks h mos of auomaion, provid nd-o-nd monioring and managmn capabiliis, and rly on asily obainabl profssional skills; ompl, fully archicd, packags can lowr cos and risk. Th providrs of homognous soluions hav don h work o dfin and dsign h soluion, nabling h srvic providr o dploy i o subscribrs and hav i bgin gnraing rvnu - in a mar of days, no monhs. Morovr, wih a compl packag ha includs profssional suppor srvics, h srvic providr always knows whr o go if i has a qusion. In a hrognous srvic dlivry nvironmn, hr is no singl rsourc for all h srvic providr s suppor nds and no singl niy o archic and valida h soluion on an ongoing basis. As a providr s IPTV srvic nds and opporuniis volv ovr im, h dvloprs of homognous packags can mak h changs asir and lss cosly. Thy can anicipa how a srvic providr can volv srvic dlivry and prpar bs pracics guidlins in advanc o hlp h srvic providr ransform is srvic dlivry infrasrucur. Wih h soluion providr acing o valida h nir srvic dlivry nvironmn, h srvic providr can b confidn ha whn an upda or nhancmn is mad o h soluion, vry par of h soluion ha could b affcd by h chang has bn sd and validad alrady. Ulimaly, a srvic providr s goal is o dlivr a compiiv srvic ha can hlp i incras is rvnus and subscribr bas a h lows possibl cos. Wih a comprhnsiv archicur and guidlins, ingrad sysms managmn srvics, and flxibl dploymn opions, homognous, compl, IPTV soluions can b dsignd o hlp h srvic providr m hir goals. 5. Problm Formulaion In ordr o minimiz h T (APEX+PEX) of an IPTV srvic, w hav dvlopd in a hurisic mannr, h mahmaical modls associad wih h APEX and PEX of ach componn which is involvd in h srvic. In pracic, dvlopmn of a comprhnsiv modl for minimizing h oal cos of ownrship of an IPTV srvic is vry difficul. In his scion w ignor som paramrs dscribd in prvious scion o mak h mahmaical modling possibl. DSLAM,, ADSL modm, Edg Srvr, Main srvr ar among h dvics which oghr build an IPTV soluion. In his scion, mahmaical modls for APEX and PEX of hs componns ar prsnd. To do so, w firs mak an simaion of h iniial cos of ach componn individually basd on h rsarch accomplishd in []. Th iniial cos of, ADSL modm, DSLAM,, main srvr, dg srvr, conn and infrasrucur ar dnod by x DSLM,
5 344 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr 009 x NT rspcivly. Tabl 1 shows h iniial cos of h dvics normalizd by h iniial cos of ADSL modm. Tabl 1: Iniial cos of IPTV dvics normalizd by ADSL modm cos Dvic os Dvic os x 3.33 x 176 x 1 x xdslm 18 xnt x 10 x 100 I mus b mniond ha h abov normalizd valus in abl (1) ar obaind from a survy on h prics of ach IPTV componn which was invsigad abou h Iran s IT mark in []. In ordr o covr h dynamic naur of h mniond componns of h T, h mahmaical modls for APEX and PEX ar chosn o b funcions of im, numbr of subscribrs n and numbr of dg srvrs m. In h following quaions, paramrs bginning wih rprsn APEX and hos bginning wih rprsn PEX.Th APEX and PEX ar modld as follows: = -0 ( ) zn ( x + ( y x ) ) 1 = -0 ( ) ( x + ( y x ) 1 ( ) 0 DSLM ( DSLM DSLM 1 DSLM ( ) 0 ( 1 ( ) 0 ( ( ) ( ) 0 ( 1 NT NT zn zm = ( x + y ) sn ( p q ) u ( v w ) (1) () (3) (4) (5) (6) (8) (7) Whr w hav [6]: y = 0.8x ; y = 0.8x ; 7 y = 0.11y NSTR ; = ; = ; z 1 = z = z = ; u = ; p = q = s 1; = =1.1; w = 0.1 v ; Th valu of 0 and 1 for ach dvic is considrd as 0.1x. As w s in h abov quaions, h APEX of ach IPTV componn is a dcrasing funcion of h numbr of subscribrs n and an incrasing funcion of im bcaus i is assumd ha h APEX can b rducd as h rqus (n) incrass and can b incrasd for h sak of inflaion as im ( volvs. Th PEX of ach IPTV componn is assumd iniially o b null and can incras as im and numbr of subscribrs incras. From rsarch adopd in [6], h PEX associad wih Infrasrucur par of h nwork is assumd o b a dcrasing funcion of m and an incrasing funcion of boh n and. Finally, T for an IPTV srvic is: n Tm, = n( + ) + n( + ) + θ (9) ( DSLM + DSLM + + ) + NT + ( + ) + m( + ) + + Whr, x is h smalls ingr numbr which is grar han or qual o x and θ is h numbr of DSLAM pors. In his papr w hav assumd ha θ =18. In h currn work, w hav rid o rack h changs which ar imposd on h opimal T as im volvs by rgulaing h numbr of dg srvrs m as a funcion of im. By work prsnd in [6] i is rsuld ha h numbr of dg srvrs can b rgardd as a major paramr affcing h T of h IPTV soluion. Thus, h objciv is o choos h opimal valu of m so ha h T is minimizd. Th so-calld T minimizaion can b formulad as h following nonlinar programming problm [7]: * m = arg min T m, (10 m 0 ) An appropria numrical approach is usd o solv h problm for h opimal m and his mhod lads o h im-varying minimizd T [3]. ;
6 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr Simulaion W hav usd h scnario dpicd in h Fig. which is similar o on adopd in [6] for dploymn of h IPTV srvic in Iran. In ordr o minimiz h oal cos (T) of h IPTV srvic, h minimizaion was prformd wih rspc o m (numbr of dg srvrs). In ohr words, in quaion 9, w hav o drmin h opimal valu of m so ha h oal cos in his quaion is minimizd for a spcific numbr of subscribrs n and im. Tim mans h numbr of yars which hav lapsd sinc IPTV srvic was firs dployd (=0). In h scnario, i is assumd ha h nd-usrs ar disribud uniformly in a circular gographical rgion and for ach n /θ usr hr xis a and a DSLAM. Each dg srvr can b conncd o a las on DSLAM for sraming mor dmanding conns. Firs, w supposd ha h numbr of subscribrs is consan and is qual o 5000 (n=5000). Thn w calculad h m ha minimizs h oal cos a h firs yar of srvic dploymn or =0. Th diagram of h oal cos vrsus m for n=5000 and =0 is shown in Fig.3. n=5000 subscribrs and =10 yars. As h Fig.4 shows h opimal m is 53. Th Figs.5 and 6 show h diagrams of oal cos for h cass (n=500000, =0) and (n=500000, =10). pimal m in hs cass is 1159 and 1163 rspcivly. Figs.3-6 show ha h valu of m which minimizs h oal cos of IPTV changs as ihr h numbr of subscribrs or im changs. Fig. 4 T for n=5,000 and =10 Fig. Simulad IPTV srvic scnario Fig. 5 T for n=500,000 and =0 Fig. 3 T for n=5,000 and =0 As i is clar from Fig.3, oal cos is minimum a m=49. To s h ffc of im on h opimal m (h m which maks oal cos minimum), w again calculad h opimal m for Fig. 6 T for n=500,000 and =10
7 346 IJSNS Inrnaional Journal of ompur Scinc and Nwork Scuriy, VL.9 No.11, Novmbr 009 To s h ffc of im mor clarly, w skchd h diagram of h oal cos for n=5000 during h mporal priod of = [0 1 0]. Fig.7 shows h rsul. A las o s h changs of opimal m vrsus im and numbr of subscribrs, w hav calculad h opimal m for n= [ ] subscribrs and = [0 1 0] yars. Th rsul is shown in Fig.8. Fig. 7 pimal numbr of dg srvrs vs. im Fig.9 shows h variaions occurring in h T of IPTV dploymn wih incrasing im and numbr of subscribrs. Fig. 8 pimal numbr of dg srvrs vs. im and numbr of subscribrs 6. onclusion Though IPTV and VD srvics ar vry araciv o h nd usrs, hy ar highly xpnsiv and his has causd hm o b dvlopd wih a vry slow pac. Minimizing h T (APEX+PEX) of hs srvics is a challng o all IPTV and VD srvic providrs. In an IPTV scnario on of h major facors ha drmin h cos of h srvic is h numbr of dg srvrs. W usd an algorihm o minimiz h T using slcion of an opimal numbr of dg srvrs in a ypical IPTV scnario. This lads o h lows cos of srvic dploymn. Th proposd algorihm has provd o b qui fficin and dynamic in minimizing h T of IPTV as h numbr of subscribrs incrass and im lapss. Rfrncs [1] Zhon chnologis, In-hom ripl play dlivry, whi papr, 004, USA. [] Iran Tlcom Rsarch nr (ITR), Invsigaing h chnical, rgulaory and businss rquirmns of AS (Advancd ommunicaion Srvics) dploymn in Iran, chnical rpor, 006. [3] Lunbrgr, D.G., Linar and Nonlinar Programming, nd Ed. Addison-Wsly Publishing ompany, [4] ATIS IIF s IPTV Archicur Rquirmns, ATIS [5] Inrn Sraming Mdia Allianc (ISMA) Implmnaion Spcificaion V. April 005. [6] Invsigaing h chnical aspcs of dvloping IPTV srvic in IRAN, chnical rpor, Iran Tlcom Rsarch nr, 006. [7] Brskas, Dimiri P. (1999). Nonlinar Programming: nd Ediion. Ahna Scinific Won, Dalsoo rcivd h B.E. dgr in ompur Scinc from Soonsil Univrsiy in H also rcivd his M.S dgr in ompur Scinc from Soongsil Univrsiy in H has workd as an xcuiv dircor in h Hyundai Informaion Tchnology o. from 1996 o 00. His rsarch inrs includs Nwork Digial Imag Procssing, Imag, Nwork Scuriy, and Vido Broadcasing ovr Nwork. H is currnly wih Bawha Womns Univrsiy as a faculy mmbr. Fig. 9 T vs. im and numbr of subscribrs
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