Project: System reliability

A telotometificatiot complatry aims to construct $=$ new glass filre network that slowuld cover a laret

geograplical area. The compotiy lats altecaly decided that this acswok should have a madular design. Thest is$,$

local networks will be cotesceled mulually. We will study the feliability of this $[$ibre gltass network. Design your

oun specadsheet model for your seliability calculutions.

The lncal nctworks

Various ltryours ate under consideration. Dependiag on the region sinc$,$ a beal nerwok mey corbist or$3,4,5$ or

$6$ modes. We will examine the following layoul optiots.

Figure $1\mathrm{.}1.$ L$.$apout optines for the boeal nerworks.

For the local netwotks, we assume that the nodes are $100\%$ reliakie. The reliakelify of the filhre gltbs cables ate

$a=1$ idcrtical and cqual wo $p.$

The main network

The wotal network conkibs of the $13$ local net works tlent are mulually connected by spoctial iaterregiotal cables.

Various besie shapes fie the main net work arc heing corsidered. rigure R$\mathrm{.}2.$ Lay wut spituns ler the main netwurh $($each mete rcprosents a lacal nctwerh$).$

The nctwork is $"$up$"$ if thare is an leat vne path comnceting cach pair of flocall rodbe in the netu urk. Son, wo

nocd buth the reliubility of each local netw urk and the reliahility of the imlerreviural eahles $($denotod hy q$)$ tos

calculate the systets reliability of the fill net work.

Qucstions abeat lecal netuurh rellialhaty

dislrihulion: BINOMIDIST$($mumber$\_$x$.$triahsprebahility$\_$s$.$cumalative$)$; wes the EXCFL help function fiur

details.

Pavriove $1.$

the rellakility for theoe local netoworks in aspecalsheet for $p.0\mathrm{.}9,0\mathrm{.}95$ ind $0\mathrm{.}99.$

Pavalive $2.$

What do the layout oplions $3$B$,4$B$,$ SB ind $6$B for the lincal nctwork $($F$$gure $2.J)$ ham e in commtson? $($Calculate

the reliahitity for theee local nefworks in a spectabheet for $p.0\mathrm{.}9,0\mathrm{.}95$ ind $0\mathrm{.}99.$

Pavaiove $3.$

Give the minimal path vectorx and minimal cel vectors for layout option $4$C: $($Figars $/1.).$ Fiplain huw the

to make calculatiots by nore$).$

Pavalioe $4.$

Explain hew pivotal deostipooition can be uned se calculate the relithility uf local net work $4$C$.($Fegurv: I.I$).$

Pasainio $5.$

Add formelas foe the reliablify of local network $4$C $($Figure $/.$I$)$ to your spredubheet. Calculate the reliability

Pavaing $6.$

spritadsheet and ealculare the reliahility of each loeal retwork type for $p,0\mathrm{.}9,0\mathrm{.}95$ and $0\mathrm{.}92.$

Qucstbus abeat the averall nctwerk reliability

Pasciove $7.$

Calculuse in your spreadbheet the system relidhility for each of the five everall network layouls $($Fagare $1\mathrm{.}2)$

asouming for the time beiry that all beal netw orks are $100\%$ reliable and that the interropiorsal comneteisu

reliahility oquals $9.0\mathrm{.}99.$

$($Q$6$&$7$only$))$