Hisoblash uchun formulalar, tugunlarning uzatish koeffitsienti

Ma’lumot uzatish tarmog‘ini imitatsion modellashtirish

1. 
   Bir kanalli, xotirasi cheksiz ommaviy hizmat ko‘rsatish tarmoqlaridagi har bir tugunni AnyLogic dasturi yordamida imitatsion modellashtirish.
   

1. 
   M/E₂/1 – matematik model asosidagi 1-tugunni imitatsion modellashtirish.
   

2. 
   M/U/1 – matematik model asosidagi 2-tugunni imitatsion modellashtirish.
   

3. 
   M/D/1 – matematik model asosidagi 3-tugunni imitatsion modellashtirish.
   

4. 
   M/M/1 – matematik model asosidagi 4-tugunni imitatsion modellashtirish.
   

5. 
   M/E_2 /1 – matematik model asosidagi 5-tugunni imitatsion modellashtirish.
   

6. 
   M/D/1 – matematik model asosidagi 6-tugunni imitatsion modellashtirish.
   

AnyLogic dasturida har bir tugundan olingan natijalar bilan analitik hisoblash orqali topilgan natijalarni solishtirish jadvali.

8-jadval

Tugun xarakteristikalari	1-tugun M/E2 /1	2-tugun M/U/1	3-tugun M/D/1	4-tugun M/M/1	5-tugun M/E2/1	6-tugun M/D/1	Solishtirish
Hizmat ko‘rsatuvchi qurilmadan foydalanish koeffitsienti, (yuklama)y=ρ	0,698	0,7143	0,5958	0,71075	0,7518	0,35145	analitik
	0,669	0,668	0,625	0,706	0,728	0,304	Immitatsiya
Buyurtmalarni navbatda kutishning o‘rtacha vaqti	5,7781	3,8049	1,474	6,143	6,626	0,4064	analitik
	4,242	3,704	0,965	6,015	6,677	0,428	Immitatsiya
Buyurtmalar navbatining o‘rtacha uzunligi	1,0083	0,9059	0,4391	1,7465	1,4233	0,0952	analitik
	0,897	1,018	0,318	2,093	1,413	0,091	Immitatsiya
Tugunda buyurtmalarning bo‘lishining o‘rtacha vaqti	9,7781	6,8049	3,474	8,643	10,126	1,9064	analitik
	7,259	6.275	2,934	8,362	10.181	1.949	Immitatsiya

2. 
   Ommaviy hizmat ko‘rsatish tarmog‘ini AnyLogic dasturi yordamida imitatsion modellashtirish.
   

Hisoblangan analitik va imitatsion yechimlarni solishtirish jadvali.

Tugun xarakteristikalari	1-tugun M/E2/1	2-tugun M/U/1	3-tugun M/D/1	4-tugun M/M/1	5-tugun M/E2/1	6-tugun M/D/1	Solishtirish
Hizmat ko‘rsatuvchi qurilmadan foydalanish koeffitsienti, (yuklama)y=ρ	0,754	0,605	0,658	0,534	0,736	0,391	Immitatsiya (tarmoq)
	0,698	0,7143	0,5958	0,71075	0,7518	0,35145	Analitik
	0,669	0,668	0,625	0,706	0,728	0,304	Immitatsiya (tugun)
Buyurtmalarni navbatda kutishning o‘rtacha vaqti	4,56	1,282	1,049	0,666	1,65	0,262	Immitatsiya (tarmoq)
	5,7781	3,8049	1,474	6,143	6,626	0,4064	Analitik
	4,242	3,704	0,965	6,015	6,677	0,428	Immitatsiya (tugun)
Buyurtmalar navbatining o‘rtacha uzunligi	0,931	0,342	0,352	0,195	0,331	0,069	Immitatsiya (tarmoq)
	1,0083	0,9059	0,4391	1,7465	1,4233	0,0952	analitik
	0,897	1,018	0,318	2,093	1,413	0,091	Immitatsiya (tugun)

9-jadval

10-jadval

Tarmoqda buyurtmalarning bo‘lishining o‘rtacha vaqtining analitik yechimi	=6.5356
Tarmoqda buyurtmalarning bo‘lishining o‘rtacha vaqtining imitatsion yechimi	=7.824

3. 
   Bir kanalli, xotirasi cheksiz ommaviy hizmat ko‘rsatish tarmoqlaridagi har bir tugunni GPSS dasturi yordamida imitatsion modellashtirish.
   

1. 
   M/E₂/1 – matematik model asosidagi 1-tugunni imitatsion modellashtirish.
   

Generate (Exponential(1,0,5.73))
Queue Tugun1
Seize Erlang2
Depart Tugun1
Advance (Exponential(2,0,2)+Exponential(3,0,2))
Release Erlang2
Terminate 1
start 100000

GPSS World Simulation Report - Untitledtugun1.2.1

Sunday, February 05, 2017 23:30:37
START TIME END TIME BLOCKS FACILITIES STORAGES
0.000 575050.288 7 1 0
NAME VALUE
ERLANG2 10001.000
TUGUN1 10000.000
LABEL LOC BLOCK TYPE ENTRY COUNT CURRENT COUNT RETRY
1 GENERATE 100003 0 0
2 QUEUE 100003 2 0
3 SEIZE 100001 1 0
4 DEPART 100000 0 0
5 ADVANCE 100000 0 0
6 RELEASE 100000 0 0
7 TERMINATE 100000 0 0
FACILITY ENTRIES UTIL. AVE. TIME AVAIL. OWNER PEND INTER RETRY DELAY
ERLANG2 100001 0.696 4.004 1 100001 0 0 0 2
QUEUE MAX CONT. ENTRY ENTRY(0) AVE.CONT. AVE.TIME AVE.(-0) RETRY
TUGUN1 18 3 100003 30963 1.077 6.195 8.974 0
CEC XN PRI M1 ASSEM CURRENT NEXT PARAMETER VALUE
100001 0 575039.499 100001 3 4
FEC XN PRI BDT ASSEM CURRENT NEXT PARAMETER VALUE
100004 0 575051.764 100004 0 1


TK_OV QTable ch_1,15,15,10
TB_V Table M1,3,15,10
Generate (Exponential(1,0,5.73))
Queue Tugun1
Seize Erlang2
Depart Tugun1
Advance (Exponential(2,0,2)+Exponential(3,0,2))
Release Erlang2
Tabulate TB_V
Terminate 1
start 100000

GPSS World Simulation Report - Untitledtugun1.3.1

Sunday, February 05, 2017 04:43:21
START TIME END TIME BLOCKS FACILITIES STORAGES
0.000 575050.288 8 1 0

NAME VALUE

CH_1 10001.000
ERLANG2 10004.000
TB_V 10002.000
TK_OV 10000.000
TUGUN1 10003.000
LABEL LOC BLOCK TYPE ENTRY COUNT CURRENT COUNT RETRY
1 GENERATE 100003 0 0
2 QUEUE 100003 2 0
3 SEIZE 100001 1 0
4 DEPART 100000 0 0
5 ADVANCE 100000 0 0
6 RELEASE 100000 0 0
7 TABULATE 100000 0 0
8 TERMINATE 100000 0 0
FACILITY ENTRIES UTIL. AVE. TIME AVAIL. OWNER PEND INTER RETRY DELAY
ERLANG2 100001 0.696 4.004 1 100001 0 0 0 2
QUEUE MAX CONT. ENTRY ENTRY(0) AVE.CONT. AVE.TIME AVE.(-0) RETRY
CH_1 0 0 0 0 0.000 0.000 0.000 0
TUGUN1 18 3 100003 30963 1.077 6.195 8.974 0
TABLE MEAN STD.DEV. RANGE RETRY FREQUENCY CUM.%
TK_OV 0.000 0.000 0
TB_V 10.199 8.409 0
_ - 3.000 16552 16.55
3.000 - 18.000 68042 84.59
18.000 - 33.000 13180 97.77
33.000 - 48.000 1970 99.74
48.000 - 63.000 214 99.96
63.000 - 78.000 42 100.00
CEC XN PRI M1 ASSEM CURRENT NEXT PARAMETER VALUE
100001 0 575039.499 100001 3 4

FEC XN PRI BDT ASSEM CURRENT NEXT PARAMETER VALUE

100004 0 575051.764 100004 0 1

2. 
   M/U/1 – matematik model asosidagi 2-tugunni imitatsion modellashtirish.