%PDF-1.5
%
1 0 obj
<>stream
application/pdfJCNJournal of Communications and Networks;2019;21;3;10.1109/JCN.2019.000032Age of informationlarge networksscaling lawsAge of information in multihop multicast networksBaturalp BuyukatesAlkan SoysalSennur Ulukus
Journal of Communications and Networks256 June 201932110.1109/JCN.2019.000032267
endstream
endobj
2 0 obj
<>/ProcSet[/PDF/Text]/Font<>>>
endobj
3 0 obj
<>/ProcSet[/PDF/Text]/Font<>/Properties<>>>/Subtype/Form/BBox[0 0 284 160]/FormType 1/Length 2516/PTEX.InfoDict 21 0 R/Filter/FlateDecode>>stream
xZ$+ʤlmf,Z!ER Kp%B]ȪٮҡSX`{":2ȸ]v_CY_OKJmK!fm=`[\-$ն8Nla.ց)m5-fn ;ԷjCpb#m¾Z)[/Kߺ9\-"Y
bִWQ[QjܖK\^`2VA2_ԑ/?a :N:C1[k
jelNΡmO3DTy@[l ly%qEe`
*dv8EF0:3cRgVjP. !w sͽ`Fgjb5wKrRS<\;
{؇-%܉RېV/[KTO;@δp([g%tՌG
.~a)kJo9 B ODRk@1TL*J
fr5A
Xf,Ddib`]ͪG>HG_Mxu,ArT#x(2yiHF =nXg*jR[0JJ"GY|.Mǽة_O8ەQڋJBceXOECUJŐ|Ġʩ[G5%
"l6҂fHw
dYcw%XT\QuU1ƄcE)6kDsqՅ~K;J
QsTQ5Ḋ1d/y"Ԑ=*xnI\XPc3P132vޕ}VQڊ!,:fI>XA^T\M'U{}*UY(=`*{=L6@R`"!&wcx QLb3Y6C"JLqd'%.55ӡrGEp╂jk}Y
i^)?.A½NPAPzٻ7k.ϛ7yN,B_Rx)q:k'vAquqYA2WgKAkxIً!e/M(?᪬hi
gaіIRK*9faMiCvp
:Km i;%&n31cRƆټ8&*1b5&5y"<"NRVECIdcD8)h ,IT%ZFפG6PSI:NIp_=\r7ċeUIσW5)6ѵLRiDLRdF"-,5uR@J:UZ4^7e#^
bjҭj1$\V}C3uзIt+^*^BRg167k*bDH:a]R1orQ`8!' W3ӡBV+M.{酠l8LdXoNy$iSQ,@gj2]W'9;D33(j+/>;5e67O^]1܊K+nˁAr+Ș"נawGIp1
NA%jƛ@/H+U| `c&GOf=ebΑYNz_ML
+Ķr|#`*2~:χ} ܩŮchNc?&R/IOӦ1A\a}WP1Íae'xcN|78BVO`_L9խFDdP0:0Íbj_
i{
NAϷ9zOרY>3
D>4/7&][h
Ei,+2ux}F
Wwv*ްzTlk'QCg.
?S kϠԆ"`İ\5+Y$8{NƣթxSO5/#wYBrO1.Q?MY~ (V~\W+V,P9y}/_}ANO,OXO&UTFwLnP5S&I )Qy!j?k,E|$m_BQ Aa~~>m"MʑRoB#(:KCe!D,3j/+
Eׇۗvx6'T.^Pb)
Ꮐ=P98m_c_^c*I-~z戚b^23kHّ+;Z:,H]bgt>JBz{Z|oM
endstream
endobj
4 0 obj
<>
endobj
6 0 obj
<>
endobj
5 0 obj
<>
endobj
8 0 obj
<>
endobj
7 0 obj
<>
endobj
10 0 obj
<>
endobj
9 0 obj
<>
endobj
11 0 obj
<>
endobj
12 0 obj
<>
endobj
13 0 obj
<>
endobj
14 0 obj
<>
endobj
16 0 obj
<>
endobj
15 0 obj
<>
endobj
17 0 obj
<>
endobj
18 0 obj
<>
endobj
19 0 obj
<>
endobj
20 0 obj
<>
endobj
21 0 obj
<>
endobj
23 0 obj
<>
endobj
22 0 obj
[742.7 647.8 600.1 519.3 476.1 519.8 588.6 544.1 422.8 668.8 677.6 694.6 572.8 519.8 668 592.7 662 526.8 632.9 686.9 713.8 756 719.7 539.7 689.9 950 592.7 439.2 751.4 1138.9 1138.9 1138.9 1138.9 339.3 339.3 585.3 585.3 585.3 585.3 585.3 585.3 585.3 585.3 585.3 585.3 585.3 585.3 339.3 339.3 892.9 585.3 892.9 585.3 610.1 859.1 863.2 819.4 934.1 838.7 724.5 889.4 935.6 506.3 632 959.9 783.7 1089.4 904.9 868.9 727.3 899.7 860.6 701.5 674.8 778.2 674.6 1074.4 936.9 671.5 778.4 462.3 462.3 462.3 1138.9 1138.9 478.2 619.7 502.4 510.5 594.7 542 557.1 557.3 668.8 404.2 472.7 607.3 361.3 1013.7 706.2]
endobj
26 0 obj
<>
endobj
28 0 obj
<>
endobj
27 0 obj
[556 556 167 333 611 278 333 333 0 333 564 0 611 444 333 278 0 0 0 0 0 0 0 0 0 0 0 0 333 180 250 333 408 500 500 833 778 333 333 333 500 564 250 333 250 278 500 500 500 500 500 500 500 500 500 500 278 278 564 564 564 444 921 722 667 667 722 611 556 722 722 333 389 722 611 889 722 722 556 722 667 556 611 722 722 944 722 722 611 333 278 333 469 500 333 444 500 444 500 444 333 500 500 278 278 500 278 778 500 500 500 500 333 389 278 500 500 722 500 500 444 480 200 480 541 0 0 0 333 500 444 1000 500 500 333 1000 556 333 889 0 0 0 0 0 0 444 444 350 500]
endobj
25 0 obj
<>
endobj
24 0 obj
[639.7 565.6 517.7 444.4 405.9 437.5 496.5 469.4 353.9 576.2 583.3 602.6 494 437.5 570 517 571.4 437.2 540.3 595.8 625.7 651.4 622.5 466.3 591.4 828.1 517 362.8 654.2 1000 1000 1000 1000 277.8 277.8 500 500 500 500 500 500 500 500 500 500 500 500 277.8 277.8 777.8 500 777.8 500 530.9 750 758.5 714.7 827.9 738.2 643.1 786.3 831.3 439.6 554.5 849.3 680.6 970.1 803.5 762.8 642 790.6 759.3 613.2 584.4 682.8 583.3 944.4 828.5 580.6 682.6 388.9 388.9 388.9 1000 1000 416.7 528.6 429.2 432.8 520.5 465.6 489.6 477 576.2 344.5 411.8 520.6 298.4 878 600.2 484.7 503.1 446.4 451.2 468.8 361.1 572.5]
endobj
32 0 obj
<>
endobj
31 0 obj
[682.4 596.2 547.3 470.1 429.5 467 533.2 495.7 376.2 612.3 619.8 639.2 522.3 467 610.1 544.1 607.2 471.5 576.4 631.6 659.7 694.5 660.7 490.6 632.1 882.1 544.1 388.9 692.4 1062.5 1062.5 1062.5 1062.5 295.1 295.1 531.3 531.3 531.3 531.3 531.3 531.3 531.3 531.3 531.3 531.3 531.3 531.3 295.1 295.1 826.4 531.3 826.4 531.3 559.7 795.8 801.4 757.3 871.7 778.7 672.4 827.9 872.8 460.7 580.4 896 722.6 1020.4 843.3 806.2 673.6 835.7 800.2 646.2 618.6 718.8 618.8 1002.4 873.9 615.8 720 413.2 413.2 413.2 1062.5 1062.5 434 564.4 454.5 460.2 546.7 492.9 510.4 505.6 612.3 361.7 429.7 553.2 317.1 939.8 644.7 513.5 534.8 474.4 479.5 491.3 383.7]
endobj
30 0 obj
<>
endobj
29 0 obj
[777.8 277.8 777.8 500 777.8 500 777.8 777.8 777.8 777.8 777.8 777.8 777.8 1000 500 500 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 1000 1000 777.8 777.8 1000 1000 500 500 1000 1000 1000 777.8 1000 1000 611.1 611.1 1000 1000 1000 777.8 275 1000 666.7 666.7 888.9 888.9 0 0 555.6 555.6 666.7 500 722.2 722.2 777.8 777.8 611.1 798.5 656.8 526.5 771.4 527.8 718.7 594.9 844.5 544.5 677.8 762 689.7 1200.9 820.5 796.1 695.6 816.7 847.5 605.6 544.6 625.8 612.8 987.8 713.3 668.3 724.7 666.7 666.7 666.7 666.7 666.7 611.1 611.1 444.4 444.4 444.4 444.4 500 500 388.9 388.9 277.8]
endobj
36 0 obj
<>
endobj
35 0 obj
[826.4 295.1 826.4 531.3 826.4 531.3 826.4 826.4 826.4 826.4 826.4 826.4 826.4 1062.5 531.3 531.3]
endobj
34 0 obj
<>
endobj
33 0 obj
[333 333 570 570 570 500 832 667 667 667 722 667 667 722 778 389 500 667 611 889 722 722 611 722 667 556 611 722 667 889 667 611 611 333 278 333 570 500 333 500 500 444 500 444 333 500 556 278 278 500 278 778 556 500 500 500 389 389 278 556 444 667 500]
endobj
38 0 obj
<>
endobj
37 0 obj
[833.3 777.8 694.4 666.7 750 722.2 777.8 722.2 777.8 722.2 583.3 555.6 555.6 833.3 833.3 277.8 305.6 500 500 500 500 500 750 444.4 500 722.2 777.8 500 902.8 1013.9 777.8 277.8 277.8 500 833.3 500 833.3 777.8 277.8 388.9 388.9 500 777.8 277.8 333.3 277.8 500 500 500 500 500 500 500 500 500 500 500 277.8 277.8 277.8 777.8 472.2 472.2 777.8 750 708.3 722.2 763.9 680.6 652.8 784.7 750 361.1 513.9 777.8 625 916.7 750 777.8 680.6 777.8 736.1 555.6 722.2 750 750 1027.8 750 750 611.1 277.8 500 277.8 500 277.8 277.8 500 555.6 444.4 555.6 444.4 305.6 500 555.6 277.8 305.6 527.8 277.8 833.3 555.6 500 555.6 527.8 391.7 394.4 388.9 555.6 527.8 722.2 527.8 527.8 444.4 500 1000 500 500]
endobj
40 0 obj
<>
endobj
39 0 obj
[446.4 446.4 569.5 877 323.4 384.9 323.4 569.5 569.5 569.5 569.5 569.5 569.5 569.5 569.5 569.5 569.5 569.5 323.4 323.4 323.4 877]
endobj
42 0 obj
<>
endobj
41 0 obj
[556 556 167 333 667 278 333 333 0 333 570 0 667 444 333 278 0 0 0 0 0 0 0 0 0 0 0 0 333 278 250 333 555 500 500 1000 833 333 333 333 500 570 250 333 250 278 500 500 500 500 500 500 500 500 500 500 333 333 570 570 570 500 930 722 667 722 722 667 611 778 778 389 500 778 667 944 722 778 611 778 722 556 667 722 722 1000 722 722 667 333 278 333 581 500 333 500 556 444 556 444 333 500 556 278 333 556 278 833 556 500 556 556 444 389 333 556 500 722 500 500]
endobj
59 0 obj
<>/ProcSet[/PDF/Text]/Font<>>>
endobj
60 0 obj
<>/ProcSet[/PDF/Text]/Font<>>>/Subtype/Form/BBox[0 0 995 659]/FormType 1/Length 3441/PTEX.InfoDict 78 0 R/Filter/FlateDecode>>stream
xM$
+
dI 0`gnkā989}IZƺ$D_t#onƖ9rӍLs:j=LWL-K~|Z|[RN{:U^u֙i[g:N{:gJwM/)xz5i|qdY,#$}9:_ׇu>q/Tҩwqxzw{
2w>GU{/l.u/_V9{=.$x/v=OUҸ<ԏl98ḿ>ygiaAZ #`mN}CL0s!e
&FU1&;TD皚vhbjnw8[ܭa6sQ[/G4/
F