Written while studying the course Advanced Computer Networks: Queuing theory 6 Queueing theory is the mathematical study of waiting lines, or queues.[1] A queueing model is constructed so that queue lengths and waiting time can be predicted.[1] Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a service.

1. dassmate
Date 312 2
Page
L min P
386 3
78
2C-068)
L: w minO
2C1-P
o,99x + O.olx30 0.43min3
0.olx3o 3 0
063 3 O63
0. 1715 14-115

2. classmate
Date 3t.82020
Page.
SO wHAT DID WESEE_LAST_CLASS
RECAP
M/MLlN 4ueve
M/M/0
L
P blo.cking probabit
N
NtI
o
L N/2
M/M/m
s P h
L4 1-P m-p)
Pcob:oh ueLing9
Pa Pm Pmz
L Cn-m)p 2 Cn-m)m"p" p
M/Mm m max m packets n4S1em
mser vers L
memory iesS_arVa memoA(ess Servic

3. sSMAte
Date 31.8.2a
Page 2
(o)pz uDP AAlc-p
A L
I+ An C ult
2 m
ua)=2u )-3uu
1
+

4. elasSMate
Date 21-8. 2026
3Page
M/G M- mmorles arava
C- qeneroseuice PCAL.
One Serer
tsepi time faken fo provicle ervia
to the Customev bumo
CefCrM,tsr isexpontniallyE
distributed)
er Vas Ct
ECtsar) How hat matche
weth L twhen
1-P
L +2
2C-P) fSer cexponentiolll,
distnibutedl..
BAD PoST OFECE
tca 20Sec O.9q prob
30min 0.01 prrb
Onecustomer amva por inor (a 1
CCUhat co be the vg. im Spontby the CUStome th he
post otcRi
On overage hoLo mony_CoStommre Co be hov nthe posS
L,w,us EL1se
Ex 2xP:-

5. classmateata
Page
2 0 x O.gq+_g00X 60 37.8See,
37-8
ser Ex2-(E)
0 0 x 0Qq (&O02 0.61 3 7 . 8 2
1367.6
78 0.626 (0.63)
12.9Y
CU
2.9 min-
A =_LcUstomer/min san 7-8Se
C (2.9 mn
0:63
M/D/
M-mamoyule arrrlal
t sskxecllcenSant Ddteministic gervce
2C1-)

6. lassmate
Date 2 202o
Page
LM/M) L (M/o)
O.11 O 06
O2s0 O.225o.2
O1S
2
49S
50
2PC-et
2-P)L 2C1L
2Ct-P) +
2
C-PLo
M/M2
LD
LqoCil D/D
MlCalL HDL
MM/I
Opproximates MM/

7. lssMAteData
318.0DPage
L="Aw HesVao
QUeUin
Sskem
M/M/
M/M
M/M/ N l
- pN
A
SelN/2
LaM/M/m a
-
(Pm+Pomnt

8. clAssmate- -
Date 3-8 2e
Poge 7-
20Mps 7OMbpSH u D e x e r c s e
2
s0Mbps ISDML- MM/L
toobps
PeOML
tTSDM&ps
tooMLpsM//
MA
1-h-6 & 2-6 _Strotagy
Ohich ane t beter
3 6 2-5-6 9raiag