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 ൅ ሺš െ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
           ሼš ǡ š ǡǥ š ሽ RU š ଵǣ୐ DQG LQLWLDO PHDQ DQG YDULDQFH        ,I
             ଵ
                      ୐
                ଷ
           Ɋ ǡɐ ଴ ଶ   UHVSHFWLYHO\  WKH  ILUVW  XSGDWH  RI  Ʉ   WKH     ƒ”‰ƒš      ሺ” ȁš ሻ
            ଴
           FRUUHFWHG   SULRU   PHDQ    DQG   YDULDQFH    LV      ୧         ୲୧  ଵǣ୲
                             Τ
           Ɋ ൌሺɊ െ ሺ š   ଵǣ୐ ሻሻ •–† ሺ š ଵǣ୐ ሻ  DQG    ɐ ଵ ଶ  ൌ
            ଵ
                  ଴
             ଶ
           ɐ Τ •–† ሺ š 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    ሺš ୲ାଵ ȁš ሻ ൌ σ ୲ିଵ  ሺš ୲ାଵ ȁš ǡ” ሻ  ሺ” ǡš 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 š  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 š  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  ൌ ሺš ȁš ǡɅሻ ൌ ሺš 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” ǡš ሻ ൌ ሺ” ୲ିଵ ǡš 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” ǡš 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” ȁš 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\  š א ሼͳǡʹǡ͵ሽ  DQG  š א ሼͶǡͷǡ͸ሽ  IRU
                                                              RFFXSLHG VWDWHV
           Ɋ ୲ାଵ  ൌ  ச ౪ ஜ ౪ ା୶ ౪
                   ச ౪ ାଵ
           Ɉ ୲ାଵ   ൌɈ ൅ ͳ
                   ୲
                                             ‹ ,QWHUQDWLRQDO 7HOHFRPPXQLFDWLRQ 8QLRQ
   115   116   117   118   119   120   121   122   123   124   125