Ministerul Educaiei,Tineretului i SportuluiUniversitatea Tehnic a MoldoveiFacultatea Calculatoare,Informatic si Microelectronic Catedra :Calculatoare

Lucrare de laborator nr.1

Tema : Lanturi Markov timp discretA efectuat:

stud.gr.TI-144 Rusu DragosA controlat: Oovschi MarianaChisinau 20151.Scopul lucrrii.:Studierea metodelor de redare, descriere, analiz a propriettilor de comportare ale lanturilor Markov timp discret (DLM) si evaluare a caracteristicilor numerice de performant.Lantul ergodic:

1)Parametrii respectivi ai DLM pentru lantul ergodicTabel 1(Ergodic)0123456789101112 Ci

10,20,160,080,070,060,060,040,030,030,030,020,020,0250

200,060,20,080,070,060,050,040,040,030,030,020,0260

30,30,10,080,070,060,050,040,040,030,030,020,020,0263

400,120,120,090,090,070,060,050,050,040,040,030,0375

500,10,070,090,070,060,060,050,050,040,040,040,0485

600,080,110,090,090,090,10,10,10,10,10,10,199

7000,090,110,110,120,120,130,130,130,130,130,13100

800,180,060,120,110,130,140,150,150,160,160,170,17111

900,090,120,120,160,160,180,190,190,20,20,210,21115

100,300,050,050,060,070,070,080,080,080,090,090,09123

110,20,030,080,060,070,070,080,080,080,090,090,090,0997

1200,080,030,050,050,060,060,060,070,070,080,080,08132

PsB0,50,540,460,40,350,30,250,210,20,170,150,130,13

PsR0,50,460,540,60,650,70,750,790,80,830,850,870,87

CsB30,235,429,9927,1117,719,6017,1214,4213,7911,5910,469,119,11

CsR53,751,7258,2265,672,377,182,4386,9289,2191,4792,796,2896,28

Cs83,987,1292,7192,719096,6699,55101,34103,00103,06103,16105,39105,4

Tabel2

(Ergodic modificat)

0123456789101112Ci

10,10,180,080,070,060,050,040,040,030,030,020,020,0250

200,030,110,080,070,060,050,040,040,030,030,020,0260

30,40,10,070,070,060,050,040,040,030,030,020,020,0263

400,110,140,090,090,070,060,040,050,040,040,030,0375

500,140,060,10,070,070,060,050,050,050,040,040,0485

600,120,110,090,10,090,10,10,10,10,10,10,199

7000,080,110,110,120,120,130,130,130,130,130,13100

800,170,060,120,110,130,140,150,150,160,160,170,17111

900,060,120,120,160,160,180,190,190,20,20,210,21115

100,200,050,050,060,070,070,080,080,080,080,090,09123

110,30,020,090,060,060,070,080,080,090,090,090,090,0997

1200,070,030,040,050,060,060,060,060,060,070,080,08132

PsB0,50,560,460,410,350,30,250,210,20,180,150,130,13

PsR0,50,440,540,590,650,70,750,790,80,820,850,870,87

CsB30,237,2530,6128,5923,720,517,1214,9213,7912,4410,469,119,11

CsR53,748,8356,8764,2853,777,182,4386,9289,2191,4792,796,2896,28

Cs83,986,0887,4892,8777,497,599,55101,8103103,9103,16105,4105,4

Lantul ne-ergodic:

2)Parametrii respectivi ai DLM pentru lantul ne-ergodicTabel 1(Ne-ergodic)

013428,9678910Ci

10,20,160,080,080,080,050,040,030,030,020,0250

200,060,10,090,060,050,040,030,030,020,0260

30,30,10,070,070,060,050,040,030,030,020,0263

400,120,10,090,070,050,050,040,030,030,0275

500,060,070,070,050,050,040,030,030,020,0285

600,080,10,090,090,090,090,10,10,10,199

700,050,080,10,110,120,120,120,120,130,13100

800,180,080,10,130,140,150,160,170,170,17111

900,090,130,130,170,170,190,20,20,210,22115

100,30,040,060,070,070,090,090,10,10,110,11123

110,20,060,090,060,060,080,080,090,090,090,0997

1200,080,040,050,050,060,070,070,070,080,08132

PsB0,50,50,420,40,320,250,210,160,150,110,1

PsR0,50,50,580,60,680,750,790,840,850,890,9

CsB28,93228,524,8119,917,414,110,79,997,416,66

CsR56,3106,663,169,3276,982,887,592,99498,74179,6

Cs85,2138,691,694,1396,7100102104104106,2186,2

Tabel2

(Ne-ergodic modificat)

012345678910Ci

10,10,180,080,080,060,040,040,030,030,020,0250

200,030,10,070,060,050,040,030,030,020,0260

30,40,10,070,070,060,050,040,030,030,020,0263

400,110,110,080,070,060,050,040,030,030,0275

500,080,060,070,070,060,040,030,030,020,0285

600,120,10,10,090,090,090,10,10,10,199

7000,090,10,110,120,120,120,120,130,13100

800,170,130,130,130,140,150,160,170,170,18111

900,060,130,120,170,170,190,20,210,210,21115

100,20,060,050,080,070,090,090,10,10,110,11123

110,30,020,050,050,060,080,080,090,090,090,0997

1200,070,030,050,050,060,070,070,070,080,08132

PsB0,50,50,420,370,320,260,210,160,150,110,1

PsR0,50,50,580,630,680,740,790,840,850,890,9

CsB30,232,1527,823,5619,916,114,110,79,997,416,66

CsR53,756,2161,770,3976,982,687,592,995,298,74102

Cs83,9138,691,694,1396,7100102104104106,2186,2

Concluzia: Efectuind lucrarea data de laborator am studiat metodele de redare ,descriere a proprietatilor de comportare ale lanturilor Markov timp discret.Am

acumulat noi cunostinte de lucru in Microsoft Office Excel,am facut cunostinta cu un nou limbaj-QM,.0

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