Page 120 - First special issue on The impact of Artificial Intelligence on communication networks and services
P. 120
,78 -2851$/ ,&7 'LVFRYHULHV 9RO 0DUFK
ଶ
)RU WKLV PRGHO WKH SDUDPHWHUV DUH Ʉؔ ሼɊ ǡɐ ሽ DQG ɐ ଶ ൌ ଵ ቂሺɈ ͳሻ ሺ െɊ ሻ ቃ
ଵ
ଶ
୲
୲
WKH PRGHO K\SHU SDUDPHWHUV DUH ୲ାଵ ஒ ౪ ୲ మ ଶ ୲ ୲
ଶ
ଶ
ɅൌሼɊ ǡɐ ǡɈ ǡȽ ǡȾ ሽ $ QHZ YDOXH IRU Ɋ DQG ɐ Ⱦ ୲ାଵ ൌȾ ச ౪ ሺ୶ ౪ ି ஜ ౪ ሻ
୲
୲
୲
୲
୲
୲
୲
୲
ଶሺச ౪ ାଵሻ
DUH VDPSOHG DW HDFK FKDQJH SRLQW 7KH SRVWHULRU RQ Ƚ ൌȽ
ଵ
Ʉ LV XSGDWHG DW HYHU\ QHZ GDWD SRLQW IRU HDFK UXQ ୲ାଵ ୲ ଶ
OHQJWK IRU H[DPSOH IRU D PRGHO ZLWK D WUDLQLQJ VHW
ሼ ǡ ǡǥ ሽ RU ଵǣ DQG LQLWLDO PHDQ DQG YDULDQFH ,I
ଵ
ଷ
Ɋ ǡɐ ଶ UHVSHFWLYHO\ WKH ILUVW XSGDWH RI Ʉ WKH ሺ ȁ ሻ
FRUUHFWHG SULRU PHDQ DQG YDULDQFH LV ୧ ୲୧ ଵǣ୲
Τ
Ɋ ൌሺɊ െ ሺ ଵǣ ሻሻ ሺ ଵǣ ሻ DQG ɐ ଵ ଶ ൌ
ଵ
ଶ
ɐ Τ ሺ ଵǣ ሻ ZKHUH ؔ VWDQGDUG GHYLDWLRQ 7KHQ WKH FKDQJH SRLQW KDV RFFXUUHG UHVHW UXQ OHQJWK
WR ]HUR ൌͲ ,I QRW LQFUHPHQW ൌ ୲ିଵ ͳ
୲
୲
7KH %2/ DOJRULWKP DIWHU WKH WUDLQLQJ LV ZULWWHQ DV
JLYHQ LQ > @ LV DV IROORZV 3HUIRUP SUHGLFWLRQ
,QLWLDOL]H RU FDOFXODWH IURP WKH WUDLQLQJ GDWD VHW ሺ ୲ାଵ ȁ ሻ ൌ σ ୲ିଵ ሺ ୲ାଵ ȁ ǡ ሻ ሺ ǡ ሻ
୲
୲୧
୲
୲
ଵǣ୲
୧ୀଵ
WKH FRUUHFWHG SULRU PHDQ Ɋ WKH FRUUHFWHG SULRU
ଵ
ଶ
YDULDQFH ɐ ǡ WKH GHJUHH RI IUHHGRP Ⱦ WKH UXQ *R WR VWHS
ଵ
ଵ
ଵ
OHQJWK GLVWULEXWLRQ ሺ ሺଵሻ୧ ሻ Ƚ DQG Ɉ
ଵ
6. SIMULATION RESULTS
:KLOH QHZ GDWD LV DYDLODEOH GR
୲
7R HYDOXDWH WKH SHUIRUPDQFH RI WKH %2/ DOJRULWKP
&RPSXWH WKH *DXVVLDQ SUHGLFWLRQ IXQFWLRQ E\ WKH LQ SUHGLFWLQJ 38 FKDQQHO VWDWH DYDLODELOLW\ ZH
VWXGHQW¶V W GLVWULEXWLRQ ZKLFK JLYHV D SRVWHULRU JHQHUDWH D VLPXODWHG GHWHFWLRQ VHTXHQFH FRQVLGHULQJ
SUHGLFWLYH GLVWULEXWLRQ RQ RI VLQJOH XVHU FRJQLWLYH UDGLR V\VWHP ZLWK QRLVH
୲
YDULDQFH ɐ ୳ ଶ DQG 615 ɀ í G% 7KH ORFDO
୳
ଶ
Ɏ ୲ ሺ୰ሻ ൌ ሺ ȁ ǡɅሻ ൌ ሺ ȁɊ ǡɐ ǡȾ ǡɈ ሻ ൌ HQHUJ\ GHWHFWLRQ GHFLVLRQ LV PDGH DIWHU
୰
୲
୲
୲
୲
୲
୲
ቀɊ ǡ ஒ ౪ ச ౪ ቁ REVHUYLQJ VDPSOHV :H HPSOR\ HTXDWLRQ
ଶ ౪ ୲ ౪ ச ౪ ାଵ WR JHQHUDWH WKH WLPH VHULHV WKDW FDSWXUHV WKH
మ
VLPXODWHG GHWHFWLRQ VHTXHQFH
6WXGHQW¶V W GLVWULEXWLRQ SUREDELOLW\ GHQVLW\
IXQFWLRQ )LJXUH VKRZV WKH SHUIRUPDQFH RI WKH %2/
)RU ൌͳ WR െͳ FRPSXWH JURZWK DOJRULWKP LQ SUHGLFWLQJ WKH WLPH VHULHV WKDW LV
SUREDELOLWLHV JHQHUDWHG WR FDSWXUH WKH SULPDU\ XVHU FKDQQHO VWDWH
GHWHFWLRQ VHTXHQFH IRU VLQJOH XVHU ³VHQVLQJ QRGH´
ሺ ǡ ሻ ൌ ሺ ୲ିଵ ǡ ଵǣ୲ିଵ ሻ Ɏ ୲ ሺ୰ሻ ൫ͳ െ FRJQLWLYH UDGLR QHWZRUN ZLWK D UDQGRPO\ GLVWULEXWHG
ଵǣ୲
୲୧
ሺ ሻ൯ FKDQQHO RFFXSDQF\ RYHU ൌ ͵ͷͲ WLPH SRLQWV DIWHU
୲
WUDLQLQJ WKH DOJRULWKP RIIOLQH RYHU D VHW RI WUDLQLQJ
REVHUYDWLRQV ൌ ͳͷͲ WLPH SRLQWV ZH XVH
ZKHUH ZH DVVXPH WKDW WKH KD]DUG IXQFWLRQ PLOOLVHFRQG DV WLPH SRLQW KHUH )RU WUDLQLQJ WKH
ሺ ሻ ൌ ɉ ିଵ ZKHUH ɉ LV D WLPHVFDOH SDUDPHWHU DOJRULWKP ZH XVH Ɋ ൌ ʹ DQG ɐ ଶ ൌͳ WKH
୲
ଵ
ଵ
FKDQJH SRLQW SUREDELOLWLHV WLPHVFDOH SDUDPHWHU ɉ ൌ ʹͲͲͲ Ƚ ൌͳ DQG Ɉ ൌ
ଶ
Τ
ଵ
Ⱦ ൌͳ ɐ ଵ ,Q )LJ WKH WRS SORW VKRZV WKH
VLPXODWHG GHWHFWLRQ VHTXHQFH VLJQDO ZKHUH
ሺ ǡ ሻ ൌ σ ୲ିଵ ሺ୰ ౪ ǡ୶ భǣ౪ ሻ ͳͷͲ RI WKH VLPXODWHG GHWHFWLRQ VHTXHQFH VLJQDO
୲୧
ଵǣ୲
୧ୀଵ
ିଵ
XVHG IRU WUDLQLQJ WKH K\SHU SDUDPHWHUV Ʌ DQG WKH
UXQ OHQJWK GLVWULEXWLRQ UHPDLQLQJ ͵ͷͲ LV XVHG IRU WHVWLQJ WKH DOJRULWKP
7KH PLGGOH SORW VKRZV WKH JHQHUDWHG WLPH VHULHV WR
ሺ ȁ ሻ ൌ ሺ୰ ౪ ǡ୶ భǣ౪ ሻ ൌ ౪ ሺ୰ ౪ ǡ୶ భǣ౪ ሻ FDSWXUH WKH SULPDU\ XVHU FKDQQHO VWDWH GHWHFWLRQ
ଵǣ୲
୲୧
ሺ୶ భǣ౪ ሻ σ సభ ሺ୰ ౪ ǡ୶ భǣ౪ ሻ VHTXHQFH ZLWK WKH UDQGRP GLVWULEXWLRQ IRU LGOH VWDWHV
୲
୲
8SGDWH VXIILFLHQW VWDWLVWLFV UHSUHVHQWHG E\ א ሼͳǡʹǡ͵ሽ DQG א ሼͶǡͷǡሽ IRU
RFFXSLHG VWDWHV
Ɋ ୲ାଵ ൌ ச ౪ ஜ ౪ ା୶ ౪
ச ౪ ାଵ
Ɉ ୲ାଵ ൌɈ ͳ
୲
,QWHUQDWLRQDO 7HOHFRPPXQLFDWLRQ 8QLRQ