lab 2 y lab 3 de iop

8/19/2019 Lab 2 y Lab 3 de IOP

1/21

ABORATORIO Nro. 2

d) Clasifcar los estados:

Estado DescripciónA La rata está en el compartimento 1

B La rata está en el compartimento 2

C La rata está en el compartimento 4

D La rata está en el compartimento 5

E La rata está en el compartimento 3

P1 =

A B C D

A 00000 00000 00000 10000

B 00000 00000 03333 03333

C 00000 05000 00000 00000D 05000 05000 00000 00000

! 00000 00000 00000 00000

Q =

00000 00000 00000 10000

00000 00000 03300 03300

00000 05000 00000 00000

05000 05000 00000 00000

I - Q =

10000 00000 00000 "1000000000 10000 "03300 "03300

00000 "05000 10000 00000

"05000 "05000 00000 10000

Inv (i - Q) =

2#535 1$%02 0#535 330#$

0#535 1$%02 0#535 130#$

032#& 0$$01 132#& 0#535

1#535 1$%02 0#535 330#$

Inv * R =

0$%#&

0$%#&

0$$34

0$%#&

Absorvente: en el compartimiento 3 se coloca un gato donde es imposible que la rata sa

e) cual es la probabilidad de que la rata uera! si inicialente esta en el co$a probabilidad que la rata uera es de %'


2/21

!

00000

03333

0500000000

10000

I =

10000 00000 00000 00000

00000 10000 00000 00000

00000 00000 10000 00000

00000 00000 00000 10000

R =

00000

03333

05000

00000

ga viva:

partiiento "#


3/21


4/21

ABORATORIO Nro. 2

Ergodica:

a) Describir los estados y hallar la matriz de transicion correspondiente (asumir que la rata se mue

Estado Descripción

A La rata está en el compartimento 1

B La rata está en el compartimento 2

C La rata está en el compartimento 3

D La rata está en el compartimento 4

E La rata está en el compartimento 5

b) Clasificar los estados

" =

A B C D

A 00000 00000 00000 00000

B 00000 00000 03333 03333C 00000 05000 00000 05000

D 00000 05000 05000 00000

E 05000 05000 00000 00000

+ =

05000 05000 00000 00000 00000

01##& 05000 01##& 01##& 00000

00000 02500 041#& 01##& 01##&

00000 02500 01##& 041#& 01##&

00000 00000 01##& 01##& 0###&

, =

03333 05000 00%33 00%33 00000

01### 041## 01%05 01%05 00555

0041& 02&0% 02&0% 020%3 020%3

0041& 02&0% 020%3 02&0% 020%3

00000 00%33 020%3 020%3 05000

=

00000 00%33 020%3 020%3 05000

002&% 020%3 022$1 022$1 03055

01042 0343& 01$44 0225& 0131$

01042 0343& 0225& 01$44 0131$

02500 045%3 0131$ 0131$ 002&%

q. * = 002&% 020%3 022$1 022$1 03055

c) Determinar la probabilidad de que la rata este en cada uno de los correspondientes estados en


5/21

Al to d/a! la rata probableente est0 en1

2&&' !n el comp

20%3' !n el comp

22$1' !n el comp

22$1' !n el comp

3055' !n el comp


6/21

ve diaramente de un compartimiento a otro ( no permanece en el mismo compartimiento dos dias

E

10000

0333300000

00000

00000

q. = 00000 10000 00000 00000

el dia 5 , si en el dia se encuentra en el compartimiento !


7/21

rtimento 1

rtimento 2

rtimento 3

rtimento 4

rtimento 5


8/21

egundos)

00000


9/21


10/21

n lamda mhu0 %$0000 50000

1 %45500 100000

2 %03225 150000

3 30#4 151500

4 &24$11 153015

5 #%%##5 154545

# #54232 15#0$1

& #21520 154

% 5$0444 15$22%

$ 5#0$22 1#0%20

10 532% 1#242$

11 50#232 1#4053

12 4%0$20 1#5#$3

13 45#%&4 1#&350

14 434031 1#$024

15 41232$ 1&0&14

1# 3$1&13 1&2421

1& 3&212& 1&4145

1% 353521 1&5%%&

1$ 335%45 1&#

20 31$052 1&$422

21 303100 1%121#

22 2%&$45 1%302$

23 2&354% 1%4%5$

24 25$%&0 1%#&0&

25 24#%&& 1%%5&4

2# 234533 1$04#0

2& 222%0# 1$23#5

2% 211### 1$42%%2$ 2010%3 1$#231

30 1$102% 1$%1$4

31 1%14&& 2001

32 1&2403 2021&&

33 1#3&%3 2041$$

34 1555$4 20#241

35 14&%14 20%304

3# 140424 2103%&

3& 133402 2124$0

3% 12#&32 214#153$ 1203$# 21#

40 1143 21%$2$

Problema:Considere el proceso de nacimiento y mu"as tasas de naciemiento son :


11/21

41 10%#5& 22111%

42 103224 223330

43 $%0#3 2255#3

44 $31#0 22&%1%

45 %%502 2300$&

4# %40&& 2323$%

4& &$%&3 234&224% &5%&$ 23&0#$

4$ &20%5 23$440

50 #%4%1 241%34

51 #505& 244252

52 #1%04 24##$5

53 5%&14 24$1#2

54 55&&% 251#53

55 52$%$ 2541&0

5# 50340 25#&12

5& 4&%23 25$2&$

5% 45432 2#1%&1

5$ 431#0 2#44$0

#0 41002 2#&135

#1 3%$52 2#$%0#

#2 3&004 2&2505

#3 35154 2&5230

#4 333$# 2&&$%2

#5 31&2& 2%0

## 30140 2%35#$

(ma Cn =

P0 =

c) Calclar L * +

d) Calclar L, * +, :

e) Costo total del sistema :

L =

L, =

+ =

+, =

- =


12/21

ABORATORIO

Cn10000

1&%000

1504$$0

%05%$&1

405$0%14

1$22$$513

%5#$013#%

35$15%1453

1415$334311

525051%3&$1

1%3131&$$00$

#00&$#&4#230

1%53$31201#%%

53%0$%#30&2#$

14#$035%40$243

3&&22$04%25$%2

$1112$4&3#%03%

20#$$3&&$&3%%&1

4423201514&5%#0

%%$034035$$5&$#

1#%0&4#&55$$43#0

2$%%&41%#4#41210

4$$%$2##4342#0&0

&%#4431%2#21#%20

11#3&512%04%&&$00

1#1$&$%22330200

21205#$4$140$00

2#112&144%%#04#00

3024501234441510032$501#052&200

33&%21&0223%00

3254410$50$2#00

2$50414&0%5%3&200

2515$1501$#2%%400

201&$5325$1142200

15223$%$2#44$%500

10%030$1%0%#0%500

&2105&4$#352&&40

452#%2Õ&5#102#&313104400$#$0

14%4&3440%%0$110

rte con los siguientes tasas medias


13/21

&&5#&4525&%2&$5

3%11#45#1#1#354

1鲳034#

$2312%55231

3132022443%&4&

1204###34&5420

435%23&&$&%3&14%3055141514

4&4#%5435042

142$0%0#&110

404#&%205&1

10&&%##%55$

2&003##124

#3#33002#

141040#%#

2$404151

5#00#

10#3515

1%450%

3010%

04#21

00##&

000$1

00012

00001

00000

34210525105%121000

000000000000002$230&&02#4#1$&00

!&$%#%%

$5!'

$3

&$53#


14/21

ABORATORIO Nro. 3

*n000000000000002$230&&02#4#1$&00

000000000000052030&&10&10231000

00000000000043$$201#$4055000000

000000000002355#$$1%&13%2200000

000000000011%#500&&%#4000000

00000000005#210#2%&1$5&2$000000

0000000002504&%%&01515&10000000

00000000104$%4#$232&54300000000

00000000413%%%24%332%2&00000000

00000001534#$#510%11000000000

000000053530%3544$%154000000000

0000001&5#1&51##4&&510000000000

000000541$1%3&042$#1$0000000000

0000015&2$03&4544%5#00000000000

0000042$4104$1ȧ&00000000000

00001102##$5#4#%240000000000000

00002##3301#32#4&51000000000000

0000#0505%&5223000000000000

00012$2$35%&31202#0000000000000

00025$%&14$##3#20%0000000000000

0004$12$5222$&4

000%&3#322#%255&%30000000000000

0014#1224%3#&400000000000000

0022$%%33$$$&3$0%00000000000000

003401&34#3250$5&00000000000000

004&34&32%%4&5&2500000000000000

00#1$%5%&$20$%40#00000000000000

00 $4&5%20200%00000000000000

00%%40%500&4$01%#0000000000000000$#315$0353&32&500000000000000

00$%#$&05$0#52&4000000000000000

00$512%$3%%4%5$%%00000000000000

00%#242%$4531$#5&00000000000000

00&3542133$440$00000000000000

005%$%#32%121$0%400000000000000

0044500%$32&015$200000000000000

00315&%2#$4%0503200000000000000

00210&&0##0234#$%00000000000000

00132322#5%22&$#500000000000000000&%13&$434#&030000000000000

000433$$$3040&%&510000000000000


15/21

00022#&35#3%#32&4&0000000000000

00011141&33&33#2210000000000000

0000514$&&1$0%0&324000000000000

0000223%%5230110&13000000000000

00000$155142%520532%00000000000

000003521332525051$#00000000000

0000012&3$4#4&%2&1410000000000000000043350%441313#3%0000000000

00000013%&5420%$$#&1%0000000000

000000041&&312%&%##5$&000000000

000000011%2$055##214$#000000000

000000003150#%&%440143%00000000

000000000&%$33&%1%05&2240000000

0000000001%#0041#&$05%#00000000

00000000004122&2&%$$$5413000000

00000000000%5$505$&54001$500000

000000000001#%544%00#$00000

000000000000310%&3&4$141&050000

000000000000053$3304$04415#0000

00000000000000%%00$210$553$4400

000000000000001350%3%&5%13$4300

0000000000000001$5020%%%13&&400

00000000000000002#4%2#21%0402$2

0000000000000000033%2540$14$&40

00000000000000000040#3&53#2#302

000000000000000000045$212&23$$1

1

!#$

Costo

+$ 5$

+$ '$


16/21

ORIO Nro. 3

n-*n0000000000000000000000000000000

000000000000052030&&10&10231000

000000000000%&$%4033%%110010000

00000000000&0#&0$&5#1414##00000

00000000004&4#0030511145&000000

0000000002%10531435$&%#40000000

000000001502%&3220$0$4200000000

00000000&34%$2%4#2$2&$%00000000

00000003311105$%###2#1000000000

00000013%12$02#%5$&300000000000

00000053530%3544$%1540000000000

000001$31&$2#%31252#00000000000

00000#5030204451554200000000000

00002044&&4%#$0%313000000000000

0000#011&4#%%4&1&24000000000000

0001#5400434&0235$0000000000000

00042#12%2#1223#010000000000000

00102%5$$%$5#$&%%00000000000000

00232&2%45&1#1#4%00000000000000

004$3&55%43#0%&$500000000000000

00$%25$0445$4$52000000000000000

01%34#2&ō&15000000000000000

03214#$44&%240%3000000000000000

052%&31%1$$3$$%%000000000000000

0%1#41#311%022$&000000000000000

11%3#%32211%$310000000000000000

1#11#32%5$455%50000000000000000

20#0%$5%4&145420000000000000000

24&543%020$&25200000000000000002&$31#12025%2500000000000000000

2$#0$11&&1$5%220000000000000000

2$4%$$&10430#5#0000000000000000

2&5$&&2#25022$00000000000000000

242#%$0420154540000000000000000

200553515#144%$0000000000000000

155&5312#44555&0000000000000000

113#%1&&012$%110000000000000000

0&&$%51442%#%3%2000000000000000

0502%2#1012##2#%0000000000000000304&3#$4$&$5214000000000000000

01&35$$&21#31501000000000000000


17/21

00$2$#1#11%3$42#400000000000000

004#&$52%1#%1212$00000000000000

002214401$204&14$00000000000000

000$%50$50124%&13#0000000000000

000411$%142%3423$%0000000000000

0001#1$%12$#1523$00000000000000

00005$%&54%44&%&5#2000000000000000020%0%4051%3054#000000000000

00000#&$%$5#240%3$1$00000000000

0000020%%#5#43$332$$00000000000

000000#032%1%3%$#300000000000

0000001#3%35&%%%&4%0000000000

000000041%34$0435&032$000000000

0000000100442250##$1#4000000000

0000000022#&500344$&4&&00000000

0000000004%132334#22410$0000000

0000000000$#0&053#3%5410%000000

00000000001%030#&&45021%$000000

0000000000031%204$%$3#052100000

00000000000052%0552#5&323#&0000

0000000000000%24011#424#5054000

0000000000000120$12$50#453$$000

000000000000001##%4051&3#53%400

00000000000000021#4%2#1%55%33&0

00000000000000002#4143$%5&0$5$&

000000000000000003030%03$&%33$#

2$%$%%

#%%

+$ &$!

+$ 5'$%'


18/21

(n.s)-*n0000000000000000000000000000000

0000000000000000000000000000000

0000000000000000000000000000000

0000000000000000000000000000000

000000000011%#500&&%#4000000

00000000011242125&43$14#0000000

000000000&5143##10454&120000000

0000000041$$3%$3101&000000000

000000020#$441241##413000000000

0000000$20%#01&$0#4%#&000000000

0000003&4&15%4%14%&0%0000000000

000001404$401331%20100000000000

000004%&&2#5333%##5&00000000000

000015&2$03&4544%5#000000000000

00004&2351540$420#$000000000000

00013232034&%%&0000000000000

00034#22$2122441

000%4&0%22#&0453120000000000000

001$3$403%0$#%04000000000000000

00415&$43$4#1&$3200000000000000

00%35201%&$05&0$300000000000000

015&253%0%2%#041000000000000000

02& &04$3%$%0000000000000000

045$#&$$$4&%15000000000000000

0&143#42&2%2&010000000000000000

1041#41234#4##00000000000000000

1425#&5221%2#330000000000000000

1%31$0&41$#%4%20000000000000000

221021251%&254#000000000000000025042134$1$&0520000000000000000

2##4%205$4

2##3#102%&&&0000000000000000

2501043$4142&010000000000000000

220#2#401%322310000000000000000

1%2%5&1&&$1#0000000000000000

142402%5%4#450$0000000000000000

10420%2%$2%5##00000000000000000

0&1##20244&$&$&3000000000000000

04#312$303&$&%&%00000000000000002%12$5#45$#4%13000000000000000

01#05&$&4250$13%000000000000000


19/21

00%#15$542#%0444000000000000000

0043452#112#300000000000000

00205$$0%ł$2$00000000000000

000$1&$2$443453$220000000000000

0003%4515$$$&%#23%0000000000000

00015141&2$%5&&2340000000000000

00005#053#45043$41$00000000000000001$50&%&$%5$113&000000000000

00000#3%2#$3#13%4$0400000000000

000001$#333&052$&30100000000000

0000005#&&$4#&1&%31%10000000000

0000001543%3&0435#&050000000000

00000003$4##%$0$02%#12000000000

00000000$4%#2125#31$%%400000000

000000002143%1%50&$

00000000045553%1##$#21030000000

0000000000$10141$23#512#1000000

00000000001&0$%05#202&$3%000000

000000000003020250&4#4&2&400000

000000000000501#52502445&4%0000

0000000000000&%34%#4&$&20%&1000

00000000000001150#23240012#&000

0000000000000015%%$5&30%241&500

00000000000000020#334$$5%134150

0000000000000000251$52&24%30#$3

000000000000000002%$30401#11423

2#%$%%

Costo del servidor

Costo de oportunidad del cliente


20/21

lamda - *n0000000000002#0153%553551150000

0000000000043$$201#$40550000000

0000000000353354%&%0&0&33000000

0000000001&$&54%#55#0$#40000000

000000000%#010#$353525440000000

000000003%&102$455$405000000000

00000001#3%&123&&3#$%#000000000

0000000#525010#2$2412%000000000

0000002443&&$0%$$0%500000000000

000000%#0%%451#&035540000000000

000002%5252$0%2$1#5300000000000

00000%%$032211103$&300000000000

00002#0#1$#41&54#$5000000000000

0000&1%#1$5400%31#3000000000000

0001%#3&&34$%1&32&0000000000000

000454##2%53&%24&00000000000000

00104324$1##$20%400000000000000

0022515%$#52500000000000000

0045&0&$#510#$$#&00000000000000

00%&2##452204500000000000000

015#&4%$54%52%%#000000000000000

02#4&$&%0&1%%$1$000000000000000

0420&521524$#305000000000000000

0#2%%40551#45%3&000000000000000

0%%400$5#&00123&000000000000000

11#%%$532503#3&0000000000000000

1453&&2&022$&%20000000000000000

1&00##%34$%%0&00000000000000000

1%&130#&3432&&200000000000000001$3#&45533#$%5#0000000000000000

1%%53$5113%#$050000000000000000

1&2#3&215#1%$310000000000000000

14%#%552%201#%&0000000000000000

12044$55&44355#0000000000000000

0$1&&$1325%21#%$000000000000000

0#5&&%#44#0%53#&000000000000000

044343311#10&430000000000000000

02%11&2$#34$##&$000000000000000

01#$542%%3#11%00000000000000000$40&432&44101#&00000000000000

004$#3$025$$%2&4000000000000000


21/21

0024#3#420&20&22500000000000000

0011500$#2$452&2500000000000000

000505001$1%3$0%0$0000000000000

00020%5&10&1434%0000000000000

0000%1024#%%45%5$34000000000000

00002$#0#214$5$3422000000000000

0000101&53%001$&41&0000000000000000032%$42$&&35424%00000000000

000001000213&&5%%4&&00000000000

0000002%#0###%01$31250000000000

0000000$5#25$&3&0&05000000000

00000001$4&255140#425$000000000

000000004#34511%5$0335%00000000

00000000103&4$%23%5$3%%00000000

00000000021%4#052340%30#0000000

0000000000432#&400450452#000000

00000000000%0#02$3&1$5%30000000

000000000001412352#$$015%400000

000000000000232&&5&2&1#$%#$0000

00000000000003#0%5#43253###2000

0000000000000052#1&%$1#2%34&000

000000000000000&21##33&401051$0

0000000000000000$30$&521331%1&4

0000000000000000112$#4$&3200%$#

0000000000000000012%$2$32%41%50

00000000000000000013%40%215340%

1$#1$2

lab 2 y lab 3 de iop

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