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clasSMAate
Date 21: 8.2020
Page
UEUIN GTHEORY_
RECAP
poLsSon process
on pois&on PrOcessS
2 potssooProceseA
birthcleafh proces
Stare n ocostornars/ packeis in Hhe sstem
AlBlc/D/E
A- arrval pracess (A) mean
B Service processs Cmean uD
C senverS
D- t maxek Cusfonarspacketk (bohtersize
E*populafion &ize thct uorl need service
AlBl A/BleD
Eo
MM on Serven
afivalproes
smemes
he service proASA-
s mema le
paiscan arivo orth_ Cexpoantiad Oth Seviea
Yote
elassnateData 24:826
Page
dpC
d
tCo we
willassome dh o
AP tALPE (ltu_p
loadacto
.
C-pP 2x Ct-p) +
aAssMte
Data 2482020
Paga 3-
LpL (1p)p(tP+Ā¢2
L .9 L
0 - 5 4
P:5
S07
L
L
20Mbpt 99 Mbpss
SDMbps
L Lo t Ls tnivy 2 mn
A Lmin
09ost min
elasSmate
Date 2182020
Page .
QS LITTLE'SLALD
L_A avg. ma spent b each pacdet
Qvg.t pockek/Aime
Cvg. H packek|austamers
K=Vz
E EY. Ez X
not aluwauE Costemers Qrived
roein lo,t1):At
avg Rach costomRn sperds w unit of ma
total tme spent o ol the
E D0Stomors thosa uoha arcivedin to,t].
L
Fotal time Spnt by thae
Customers : lt
t Lt Atw
tmtn 2mA g0ee
temy mt 5m
L Au
t lau
alassmate
Data 24 8 2020/
Paga S-
0 . A: 9 customens/min
mins
A 9 Ccostomasmn MloCostornars min.
m i n : Wa twsoe
LL Lsar
L:0.9 9
Wser W
L-
3A=49 castonersmin ioCustorerimin
houo much time coil yo0 penchhe Quetx o averac22
C I min u - Wser min-0:1 0. mn 54Se.
- 1 CUstomermin 2o Customan mn_
Conct She xpectedfime to be Sp@nt in the Queue
P: 0.9
1-P
6.5min18
05-O.05 _o15min 21se2D
elasSmate
Date28-2020
Page
GAl9costormes/min 20 Costdmer/min
cohat is
L:19 tO -L
20 20
2custmers min = loCUstomare/min
O.2
min SO
20 Cust/min
to ceminHOO
wating ime u attng HmR
2e tstmy
A/MLN
AA-
-4 R
P u 'N
lAsSmate
Date 24. 2020
Paga
dt
O N
-P P
1-P
-pN
GUIZ
bloc kine prababilif
mon / hu.
M// MM/m 0n mooodle,_
sla buS: Dehob:theor
mml

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Queuing theory 4

  • 1. clasSMAate Date 21: 8.2020 Page UEUIN GTHEORY_ RECAP poLsSon process on pois&on PrOcessS 2 potssooProceseA birthcleafh proces Stare n ocostornars/ packeis in Hhe sstem AlBlc/D/E A- arrval pracess (A) mean B Service processs Cmean uD C senverS D- t maxek Cusfonarspacketk (bohtersize E*populafion &ize thct uorl need service AlBl A/BleD Eo MM on Serven afivalproes smemes he service proASA- s mema le paiscan arivo orth_ Cexpoantiad Oth Seviea Yote
  • 2. elassnateData 24:826 Page dpC d tCo we willassome dh o AP tALPE (ltu_p loadacto . C-pP 2x Ct-p) +
  • 3. aAssMte Data 2482020 Paga 3- LpL (1p)p(tP+Ā¢2 L .9 L 0 - 5 4 P:5 S07 L L 20Mbpt 99 Mbpss SDMbps L Lo t Ls tnivy 2 mn A Lmin 09ost min
  • 4. elasSmate Date 2182020 Page . QS LITTLE'SLALD L_A avg. ma spent b each pacdet Qvg.t pockek/Aime Cvg. H packek|austamers K=Vz E EY. Ez X not aluwauE Costemers Qrived roein lo,t1):At avg Rach costomRn sperds w unit of ma total tme spent o ol the E D0Stomors thosa uoha arcivedin to,t]. L Fotal time Spnt by thae Customers : lt t Lt Atw tmtn 2mA g0ee temy mt 5m L Au t lau
  • 5. alassmate Data 24 8 2020/ Paga S- 0 . A: 9 customens/min mins A 9 Ccostomasmn MloCostornars min. m i n : Wa twsoe LL Lsar L:0.9 9 Wser W L- 3A=49 castonersmin ioCustorerimin houo much time coil yo0 penchhe Quetx o averac22 C I min u - Wser min-0:1 0. mn 54Se. - 1 CUstomermin 2o Customan mn_ Conct She xpectedfime to be Sp@nt in the Queue P: 0.9 1-P 6.5min18 05-O.05 _o15min 21se2D
  • 6. elasSmate Date28-2020 Page GAl9costormes/min 20 Costdmer/min cohat is L:19 tO -L 20 20 2custmers min = loCUstomare/min O.2 min SO 20 Cust/min to ceminHOO wating ime u attng HmR 2e tstmy A/MLN AA- -4 R P u 'N
  • 7. lAsSmate Date 24. 2020 Paga dt O N -P P 1-P -pN GUIZ bloc kine prababilif mon / hu. M// MM/m 0n mooodle,_ sla buS: Dehob:theor mml