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Influence of Software and Hardware Failures with Imperfect Fault Coverage on PONs OPEX

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Abstract—Passive Optical Networks (PONs) are one of the preferred technologies to deploy broadband access networks. As time passes, end users presuppose network connectivity to be always available, and expect PONs to be highly dependable. Yet operators, from an economic view, are interested in the costs related to failures. Thus, PONs dependability and associated costs have been extensively studied, but only focusing on hardware failures. Contrarily, this paper performs a thorough analysis of the impact of software failures in failure-related costs.

Based on real empirical data, software failures are thoroughly characterized and classified in four different categories according to their severity. Also, the effect of software failures on the behavior of PON’s fiber protection and recovery mechanisms is detailed. Software failures are included into a Markov cost model, implementing a comprehensive cost framework. This way, the dependability-related costs of PONs are analyzed, accounting for hardware and software failures, as well as for the consequences of software failures on well-known PON protection mechanisms. Moreover, how the testing phase duration and user profile (residential or business) impact these costs is pinpointed.

Index Terms—Failure coverage; Operational Expenditures;

Passive Optical Networks; protection; software failures

I. INTRODUCTION

Due to the rapidly increasing bandwidth demands of new services, network operators are being pushed towards the deployment of broadband access networks. Certainly, Passive Optical Networks (PONs) are widely recognized as the best suited solution for supporting such demands [1]. Amid other features, PONs offer high bandwidth on a per-user basis, as well as scalability and flexibility. PONs also present low energy consumption and are cost-effective as costs are shared among several customers. Hence, PONs and Next-Generation PONs (NG-PONs) are regarded as the most promising solution for future fiber-based access networks [2].

Yet, as end users are starting to take network connectivity for granted, dependable service delivery is also expected from PONs. Consequently, to satisfy the need of reliable access, dependability of access networks has become an important case of interest nowadays. In fact, several protection schemes and dependability analyses for different PONs and NG-PONs flavors can be found in current literature [3], [4], [5].

Commonly, a system’s dependability is assessed by its

A. Fernández and N. Stol are with the Department of Telematics, Norwegian University of Science and Technology, Trondheim, Norway (e- mail: alvarof@item.ntnu.no).

availability. Still, from a financial point of view, an operator is typically more interested in the failure-related costs, known to be part of the operational expenditures (OPEX). Notably, this interest arises as a proper understanding of failure-related OPEX can be used in cost optimization or risk management analyses. Usually, failure-related OPEX cover the cost of repair and extra equipment, payment of penalties and loss of reputation if a large number of users are affected by failures.

However, most of the published PON dependability studies are focused only on hardware, physical faults. Few papers address software dependability or its consequences with respect to OPEX, even though software faults account for an important part of service failures in many systems [6].

Furthermore, software failures also represent impairments to the correct behavior of protection schemes. This is more important as PONs/NG-PONs evolve in complexity, serve more users or are used in e.g. data centers.

Chiefly, this paper provides a comprehensive analysis of the effects of software failures in Time Division Multiplexed (TDM) PONs’ failure-related OPEX. Extending the work in [7], a thorough characterization of Gigabit-capable TDM PONs (GPONs) software failures is performed, based on empirical data [8], [9]. How software failures hinder the performance of fiber protection schemes (i.e. fault coverage) in TDM PONs is also deeply detailed, based on real data [10].

Applying Duane model for software reliability growth [11], the software failure intensity is estimated as a function of the testing time and included in a Markov cost model. Hence, the impact of hardware and software failures, as well as of imperfect fiber protection recovery (due to software) in PON’s failure-related OPEX is analyzed, accounting for the length of the testing phase and the user profile (residential or business).

This paper is organized as follows. First, Sect. II presents the PON architecture and fiber protection scheme. Section III describes the software dependability and failure coverage modelling. Section IV details the Markov cost model used to assess the failure-related OPEX, while results are presented in Sect. V. Finally, Sect. VI gives the conclusions of this work.

II. TDMPONARCHITECTURE AND PROTECTION

Plainly, the basic TDM PON architecture is shown in Fig. 1 (a). At the operator’s Central Office (CO), the Optical Line Terminal (OLT) is located, consisting of two elements: OLT ports where fibers are connected and the OLT chassis housing them. Besides, the OLT chassis also hosts the OLT software in charge of the PON correct behavior. At the user’s side, an

Influence of Software and Hardware Failures with Imperfect Fault Coverage on PONs OPEX

Álvaro Fernández, Norvald Stol

(2)

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fibers cover s implies the de een the OLT a s shown in Fi

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l be detected protection fee n the OLT are should be p ervice provisio

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DEPENDABILIT

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t span over d In case of fib at the CO, an eder fiber in or

and the O prepared to pe on after it.

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Y MODELLING

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ous Poisson p testing time (s g in this work e Duane mode PON OLT so ailure intensity

he CO g point,

chassis litting.

with a Finally, h of 20 he RN;

ONUs.

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both a and an rtainly, disjoint ber cut nd the rder to ONUs.

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ssification and forming a mo arer indication the empirical ssified into fo erage critical hly critical bu cise, it marke garding severi orted in [8]

sed on real pro Severity 4 (S4

% of total b sing service d ial errors not l Severity 3 (S3 (57% of tota ereas services nsequently, S3 ved by the OL sidential users Severity 2 (S2)

% of total bug services are st l, no total sto siness and resi Severity 1 (S1

% of total bugs ects cause tota ved by the OL Additionally, th

rkov model is Feeder Fiber Further extend erage is now ined as the pr ceeding upon chanism does ich requires ad n order to estim tection, the r

efly, [10] des ON deployme tching were em tware failures Based on the er protection

prisingly, onl rect service r tection fault c cases medium iness users a

sting time (t) w .

*t0.238842 k in [7] adopt d description. C

ore thorough n of failure con

data reported our categories l bugs”, “hig ugs”. Althoug edly matches

ity) from [9].

will be mode ojects), which 4) defects refe bugs – 0.1 p disruption. Fo leading to failu ) defects map al bugs – 0.

s are not interr 3 defects affe LT (due to b

(without strin ) defects relate gs – 0.31 pro topped and pe oppage occurs idential) are re ) defects refe s – 0.02 proba al stoppage, al T cease being he exact mapp

detailed in Se Protection Fa ding the work w introduced.

robability of t n failure occu s not succeed dditional recov mate the fault results reporte cribes a fault ent, where fe mulated. Afte caused service se results, th

mechanism ly 20% of th restoration. C coverage is fix m criticality fa

are not corre

was found in [

ted a minima Consequently, failure charac nsequences on d in [8], softw s; namely “lo ghly critical b

gh this bug d the software . Purposely, t elled followin

assumes four er to “low pri probability of or example, c ure fall in this p into “averag 57 probability rupted, perform fect a subset bandwidth and ngent demands e to “highly cr obability of oc erformance is h

s, thus only a egarded as dow er to “very hig

ability of occu ll business an g served.

ping of softwa ect. IV.

ault Coverage k in [7], the

In dependab the failure rec

urrence [13].

d, an uncove very actions.

t coverage rega ed in [10] w injection cam eeder fiber cu er restoring co

es not to be co e fault cover can be estim he emulated Consequently, xed as 0.2. B ailures (mappe ectly restored

[7] to follow

al software fa , this paper aim cterization, wi n service deliv ware failures w ow priority bu

bugs”, and “ description is defects taxon the software ng this taxon severity level iority bugs” in f occurrence),

cosmetic fault s category.

ge critical bug y of occurren mance is hinde of business u d delay deman s) are not affec ritical bugs” in ccurrence). Pa

heavily hampe a number of u

wn.

ghly critical b urrence). As t nd residential u are failures into e

concept of ility, this term covery mechan

. If the reco ered fault oc

arding feeder will be emplo mpaign carried ut and protec nnectivity, sev orrectly recove age of the fe mated as foll cases resulte the feeder Besides, in 71%

ed as S3 defec d) were repo

(1) ailure ms at ith a very.

were ugs”,

“very s not nomy

bugs nomy

ls.

n [8]

, not ts or s” in nce).

ered.

users nds).

cted.

n [8]

art of ered.

users bugs”

these users o the

fault m is nism overy curs, fiber oyed.

d in a ction veral ered.

eeder lows.

ed in fiber

% of cts – orted.

(3)

He fib cr th pr Fi fe sa co re co ar

I m so no m th (fa m th ar tra Cij

eq Co as pa an PC (S th of of sim an bu an

$/

ou is P

fa wi sp ar de Be

ence, the prob ber failure is riticality failur

e affected us robability of inally, these p

eder fiber fai ame proportion We would li overage of 0.2 sults, it was n overage should re better seen a IV. MARKOV

In order to an model has been

oftware failure o software fail model is especi

e software-ha ault coverage models (reliabil Briefly, two is study, name re associated ansition from

ij (in $). Mo quipment that

onsequently, i Additionally, ssociated to e ayment of the nd payment o CR). Simply, t SH and SS for h

e number of re As for the PC f reputation du f revenue ins

mplicity. Hen nd PRB in $/h usiness users) nd a reputation /h). To accoun utages occur (e introduced (χR

(

,B R K

i F

PCR

Let us consid ilures. State d ith the PON e plitting ratio, 3 re taken from epends on the esides, it is a

bability of an u 0.71. Finally res (correspon sers are not r a S2 uncover probabilities ( ilures) will va n as the softwa ike to remark 2 is unexpecte not possible to

d be taken wit as a worst case

V COST MODEL

nalyze the TD n employed [1 es have been i lures is used ially well suit ardware inter ) in Sect. III lity blocks) du

types of failu ely cost impul

to transition state i to state ore precisely must be boug impulse costs o , cost rates (c each state i. C

repairmen (d of penalties (r

the RCR in a s hardware and epairmen in st CR, it includes ue to failures.

tead of cost, ce, the PCR d h, subscripts , the failed cl n rate gauging nt for an incr e.g. negative p χR and χB). Thu

,i * K

K RR

FCK

der the Marko definition depe elements descr 32 ONUs are m [3] and [15]

fiber length, assumed that t

uncovered S3 y, 9% of the nding to S2 de

recovered). C red feeder fib (which apply ary with the are failure inte that to our a dly low. Due verify it. Sub th care. Thus, e scenario.

L FOR FAILURE

DM PON’s OP 14]. As in [7],

included. Thu as baseline. A ed for this wo raction and

cannot be m ue to independ ure-related cos lses and cost r s in the Ma e j has an asso y, these cost ght to replace only apply to

i – cost per u Cost rates con denoted Repair

referred as Pe state i is propo d software rep

tate i (OCi).

s the cost of pe Yet the latter

it is include depends on the R and B de lients in state g reputation co reased cost of press releases) us, the PCR in

,i* K

K PR

FC

ov cost model ends on the typ

ribed in Sect.

assumed. Fail ]. Notably, th allowing for there is only

failure upon cases caused efects – a num orrespondingl ber failure is only to unco testing time ensity (1).

appreciation, a to the lack of bsequently, thi

results in this

E-RELATED OP PEX, a Marko , both hardwa us, the scenario Also, a Marko

ork. This is be imperfect rec modelled with dence assumpti sts are conside rates. Cost im arkov model,

ociated impuls ts cover the

a faulty comp hardware failu unit time in $/

nsist of two r Cost Rate – enalty Cost R ortional to the pairmen, in $/h

enalties and th r can be seen a ed in the PC e penalty rates enote resident e i (FCR,i and ost (RRR and R

f reputation if ), an impact fa state i follows

K).

with only har pe of failed ele II. Due to th lure and repai he fiber failur different scen one repair cr

feeder d high mber of

ly, the s 0.09.

overed in the a fault f other is fault s work

PEX ov cost are and o with ov cost ecause covery h static

ions.

ered in mpulses i.e. a se cost

extra ponent.

ures.

/h) are terms:

RCR) Rate –

salary h) and he cost as loss CR for

s (PRR

tial or FCB,i) RRB in f large actor χ

s:

(2) rdware ement, he 1:32 ir rates re rate narios.

rew. If ther the C also Acc chas clien affe faile and digg disc occu Like clien are A.

C exte com do n OLT occu seve soft failu repa In testi den and

A S1 As m user vari for F resp serv

Fig.

re are two or highest reduct Concerning the o depends on cording to pre ssis affect 16 nts. OLT por ect only 1 clien

ed clients is m d 5000 clients

ging close t connecting a urs far from th ewise, the uni nts for a distr uniformly dist Software Fail Concisely, soft ending the mo mbinations are

not lead to fa T software is ur. Yet, low erity software tware runs on ures if the O air of the OLT n Fig. 2, λsoft

ing time t. Fa oted λOLT_C an d S3 failures pr As for the num failures cause mentioned in rs (residentia iable from 1 a

S3 failures, bu Finally, softwa

pect to S1, S2 vice stoppage,

2. Markov model

more failed e tion in cost in e number of f n the type an evious studies 600 clients, rts and splitte nt. As for feed modelled as a

s. Intentionall to the CO w

large number he CO, the num

iform variable ibution fiber c tributed amon lures Modellin ftware failures odel as shown

not depicted ailed clients, working prop priority failu e failure has n the OLT ch OLT chassis h T chassis assum

ft denotes z(t) ailure and repa nd μOLT_C. Fina robability (0.0 mber of failed e total stoppag

Sect. III, S2 f al and busine

and 400. The ut only affectin are repair rates

and S3 failure a quick restar

l for OLT softwar

lements, the e a shorter time failed element nd number of [5], it is fixed while RN ch ers affect 32 c der fiber failur uniform varia ly, this mode

will cut sev r of clients.

mber of failed e is defined b cut. Business ng the total ser

ng

are included in Fig. 2 (all h for clarity). B they are not perly, any sev ures cannot a already occur assis, there ca has failed. Mo mes to fix soft

in (1), whic air rates of the ally p1, p2 and 02, 0.31 and 0.

clients due to ge, thus affec failures affect ess), modelle same uniform ng business us s are denoted es. As S3 failu rt (5 min., γ3 =

re failures.

element leadin e is repaired fi

ts in each sta f failed elem d as follows.

hassis affect clients and O

res, the numb able between els the fact th veral fibers, Yet if a dig d clients is sma between 1 and

clients (if pre rved clients.

in the analysi hardware-softw Because S4 fail

considered. If verity failures appear if a hi rred. As the annot be softw oreover, hardw tware failures.

h depends on e OLT chassi

p3 relate to S1 .57 respectivel o software failu

cting 1600 cli a subset of se ed as a uni m variable ap sers in this ran

γ1, γ2, and γ3

ures do not lea

= 12 h-1) where ng to irst.

ate, it ments.

OLT 100 ONUs er of 1000 hat a

thus gging aller.

d 100 sent)

is by ware lures f the

may igher OLT ware ware n the

s are 1, S2 ly).

ures, ients.

erved form plies nge.

with ad to e the

(4)

fa fa pr re B.

de pr sw fib ap fa ra cS

fa th rep

= un is If fa pr th af wo to

Fig

sim of th mu Th pr tra

E

iled process is ilures require rocessor is res load is assume Feeder Fibe To model the epicted in Fig revious states witch, the prot

ber failures ppropriate prob

il, the system Briefly, λFF ( ates of the feed

3 and cS2 are ilures, (0.71 a e fault cove pair rates are γ3 = 12 h-1 a niformly distri drawn. If both

the failure ilure, a secon revious result,

ese are the f ffect only busi orking fiber fa failed users. F

g. 3. Markov mod

V. DEPEN

In this sectio mulation, the f 1 year are pre

e expected c multiplying the he ECR is ass robabilities (p ansition from

(

i

ci

ECR

s reset is assu e a more co set and the s ed to take 30 m er Protection a e fiber protect g. 3 are added are not sho tection or the may be co babilities. If b is regarded as (μFF) and λSw

der fiber and e the probabi and 0.09 respe erage (correct the same as in and μUnc_S2 = ibuted random h fibers fail, th corresponds nd uniform v , is drawn. In failed clients;

iness clients i failures and pr Finally, switch

del for feeder fibe

NDABILITY-RE

on, after solv failure-related esented as exp ost over a gi Expected Co essed from th pi), and the im

state i to state )

*

j ij

Cij

umed to fix the omplex repair software and min. on averag and Fault Cov tion and fault d. For clarity, own. From a

working fiber overed or un both working a

s down.

Sw) denote optical switch ilities of S3 ectively). Also t recovery).

n the previous γ2 = 2 h-1. U m variable betw

his is the numb to an uncove variable, betw n case of S2

whereas S3 in this range.

otection fiber h failures caus

er protection and f

ELATED OPEX ving the Mark d OPEX resul pected costs (in

iven time spa ost Rate (ECR he cost rate of mpulse costs

j (Cij and λij re .

*pi

e failure. S1 a r action wher data reloaded ge (γ1 = γ2 = 2 verage Modell coverage, the , combination fail-free stat r may fail. W ncovered wit and protection the failure (r h respectively.

and S2 unco o, 1- cS3- cS2 =

Uncovered fa s section, i.e.

Upon fiber fail ween 1000 and mber of failed c ered working ween 1000 an

uncovered f uncovered fa Recall that co failures do no se 32 failed cli

fault coverage.

XEVALUATION

kov cost mod lts over a time n $). In steady an is calculat R) by the time each state (ci) and rates of espectively) a

and S2 re the d. This 2 h-1).

ling e states

s with te, the orking th the n fibers

repair) . Also, overed

= 0.2 is failures μUnc_S3

lure, a d 5000 clients.

g fiber nd the failure, failures overed ot lead ients.

N

dels by e span y state, ted by e span.

), their f each as:

(3) In extr (RC to s Bes

A imp extr [3].

whe

$/h.

prot is a rate Yet whi are (χR) fibe scen feed resp leng R clien hard fibe inte with (h) (1).

sche I be s with perc OPE the failu sma (abo beg spot are redu imp

L the soft with fibe case the resp fact (due a 25

ntentionally, t ra equipment CR because of software failu sides, results a As for the para pulse costs, rel

ra equipment), The salary of ereas that of . Because resi tection, they a assigned to re e (discomfort t for business ile the reputat also different ) and 1.2 for b ers allow for narios model der and distr pectively. In s gths are fixed Results are pre

nts. As base dware failures er protection.

ended (making h software fai and the corres

The case la eme always w In Fig. 4, the seen that pen h no business centage of fai EX. Expected

software fail ures are prese all testing tim ove 40000 h inning of the tted and fixed present and a uction in OP portant the larg Let us focus n

OPEX. When tware failures h/without soft er failures (i.e es). Also, the

impact of sof pect to the im t that business e to bandwidth 5% of busines

the presented (regarding im f hardware fail

ures) and pen are presented w ameters, they lated only to h , the prices of f hardware rep software repa idential users are no subjecte sidential users with the oper users a penalt tion rate is 50 t for both typ business (χB).

modelling tw densely popul ribution fiber parse scenario to 18.2 and 1.

esented for di elines, the c s) are shown, w

If there is no g cS3 and cS2 i lures are pres sponding softw abeled as “FF works as intend results for de nalties accoun s clients. This

ilures affect s dly, increasing

lure rate) red ent. Although mes, is less im hours). Particu e testing phas d. After severa are more diffic EX due to i ger the percent

ow on the im n business cli in OPEX (i.e ftware) is big

e. comparing higher the per ftware failures mpact of feede s users are eas

h and delay de ss users, the i

d results are b mpulse costs) lures), softwar nalties (relati with 95% conf are defined a hardware failu f the compone pairmen (SH) i airmen (techni

are not willin ed to penalties s (PRR = 0), rator) is fixed ty of 100 $/h 0 $/h (RRB). T

pes, fixed to Finally, differ wo types of lated areas, w rs are 3.75 os (suburban o 8 Km. respect ifferent percen

ases with no with or withou o software, pr

in Fig. 3 equa ented for diffe ware failure in FProt.” assum ded (for referen

nse scenarios nt for most of

s is explained several client g the testing t duces the cos this reduction mportant for la ularly, this i se, software f al hours of te cult to identify

ncreased testi tage of busine mportance of so

ients are prese e. comparing

ger than the unprotected rcentage of bu s (the higher th er fiber failure ily affected by emands) justif impact of soft

broken down ), hardware re re repair (RCR ing to the P fidence interva as follows. Fo ures (purchasin ents are taken

is fixed to 190 icians – SS) i ng to pay extra s. Thus, no pen but the reputa d to 30 $/h (R is assumed (P The impact fac

1.1 for reside rent length fo scenarios. D with the length and 0.375 or rural areas) tively.

ntages of busi o software ( ut (“Unp.”) fe rotection work al to 0). The c ferent testing t

ntensity (h-1) mes the protec

nce purposes) are shown. It f the OPEX, d because a l ts, dominating time (i.e. redu sts when softw

n is noticeable arge testing t s because at failures are e sting, fewer f y and fix. Yet ing time is m ess users.

oftware failur ent, the impac

unprotected c impact of fe and FF prote usiness, the hi he difference es). Certainly y software fail fies this. Still, ftware failures

into epair R due CR).

als.

r the ng of from 0 $/h, is 80 a for nalty ation RRR).

PRB), ctors ential or the Dense hs for Km.

), the iness (only eeder ks as cases times from ction ).

t can even large g the ucing

ware e for times t the easily faults t, the more es in ct of cases eeder ected igher with y, the lures

with s and

(5)

fe ph fe so ca fe (e wi un im OP pr OP re tre do th su re fib as (fo les alw re

Fi

eder fiber fail hases. Also int eder fiber fa oftware failure ase, both effec Moreover, Fi eder fiber failu specially in b ith short fibe ncovered failu mportance of in

PEX analysis rotection with

PEX, even wi al analysis sho

Finally, Fig.

ends identified ominate the O e testing time ubstantially. E duction due to Necessarily, bers, making t ssociated to fe

or any percent ss relevant. A ways higher th levance as the

Decidedly, a

ig. 4. Expected co

lures becomes teresting is the ailures contri es, independen ts are similar f ig. 4 shows th ures do not co business-free ers, associate ures become ev

ncluding softw s. An idealiz hout software,

ith a high perc ows that this c

5 depicts the d before can b OPEX in spar

above 40000 Especially wit o increasing th the OPEX res this type of fa feeder fiber fa tage of busine Although the i han that of so e percentage o as feeder fibe

ost per client in de

comparable f e fact that, wit ibute more to ntly of the test

for short testin hat in dense sc ontribute exces areas). Main d failures ar ven rarer. Let ware failures i zed analysis, , may lead to centage of bu conclusion ma results in spar be also seen.

rse scenarios.

hours does no thout business he testing time

sults are high ailures more co

ailures now d ess), whereas s impact of fee oftware failure f business use ers are more

ense scenarios for

for very long t th no business o the OPEX ing time. Yet ng times.

cenarios, unco ssively to the O nly, this is be re uncommon

t us now rema in dependabili , e.g. feeder o almost neg usiness users. S ay be misleadin rse scenarios,

First, penaltie Second, incr ot reduce the O s users, the e is almost triv her due to the ommon. Thus dominate the O

software failur der fiber failu es, the latter ga ers increases.

prone to fa

r different percent

testing users, X than

in this overed OPEX ecause n, thus

ark the ity and fiber gligible Still, a ng.

where es also reasing OPEX OPEX vial.

larger s, costs OPEX res are ures is ains in

ailures,

unc not thes are Rea Km prof failu dep prot soft

A pres obje dire also sche for wor soft rese liter for cost app para reco

tages of business

overed failure very relevan se failures in t

included. This ach PONs (LG m.) have gaine

fitable evoluti ures will bec

endability an tection schem tware must be

A detailed failu sented in this ect of the stud ect impact of t o how they a

emes in PONs completeness rk include a d tware failures earch due to rature. Beside analyzing failu t models the

licable to an ameters, capt overy that cann

clients with varyi

es in dense sce t in a busine the OPEX is s result is espe G-PONs, exten d interest late ion of PONs. W come more l nd OPEX of mes. Thus, u taken into acc VI. CON

ure-related OP paper. Softwa dy, with a twof these failures i affect the pe s. Also, hardw . Based on rea detailed charac s in PONs, w the lack o es, a compreh ure-related OP eory has bee ny PON techn turing dynam

not be handled

ing testing time (s

enarios gain in ss-free scenar significant wh ecially import nding the fibe ely as a possi With this fiber likely to occ future PONs uncovered fai count and con

NCLUSIONS

PEX analysis are failures ha fold focus. Na in OPEX has erformance of ware failures h al data, the co cterization an which proves

f this inform hensive metho

PEX in PONs, en proposed.

nology by co mic interaction d by static mo

software failure in

n importance.

rio, the impac hen business u tant because L er reach up to ible economic r reach, uncov ur, hindering s even with ilures because

sidered.

of PONs has ave been the m amely, not only

been assessed f fiber protec have been inclu ontributions of nd classificatio useful in fu mation in cu od and framew

, based on Ma This metho orrect tailorin ns and impe odels.

ntensity).

Still ct of users Long- o 100 c and vered g the

fiber e of

been main y the d, but ction uded f this on of urther urrent work arkov od is ng of erfect

(6)

re bu fa pr of Re no sp it ot fa PO re lim PO th Si pr m in so ac

[1]

[2]

Fi

Decidedly, s lated OPEX o usiness users a ilures domina rotection, softw f the OPEX, in

egarding impe ot increase the parse deploym does contribu ther failures.

ilures should ONs. Also, i duces the eff mited for testin

Finally, this ON flavors an e imperfect re imilarly, dupli rotection. Yet may markedly h

teresting to as oftware failur ccompanied by

] F. Effenberge Commun. Mag ] G. Kramer, M optical access the IEEE, Vol ig. 5. Expected co

oftware failur of PONs, esp are present. Y ate the OPEX ware failures s ncreasing with erfect recovery e OPEX rema ments, as fibers

ute to the OP Hence, this not be neglec ncreasing the fect of softwa ng times great results call f nd protection ecovery impai icating the OL as software hinder this pro ssess for whic res become n y a feasibility/

REFE er et al., “An in

g., Vol. 45, Issue M. De Andrade, R s networks: archit l. 100, pp. 1188 – ost per client in sp

res heavily in ecially in den et in sparse sc X, and it can still account fo h the percentag

y due to softw arkably in den

s become mor PEX, albeit in work also sh cted when asse e duration of are failures. Y ter than 40000 for extending schemes. In irment must b LT is also seen failures tend otection schem ch failure inte negligible, y /economic ana

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Referanser

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