You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
62 lines
2.4 KiB
62 lines
2.4 KiB
// Simple peer-to-peer file distribution protocol based on BitTorrent
|
|
// gxn/dxp Jan 2006
|
|
|
|
ctmc
|
|
|
|
// N=4 clients, K=6 blocks to be downloaded
|
|
// Actually there are N+1=5 clients, one of which has all blocks initially
|
|
|
|
// Rate of block download for a single source
|
|
const double mu=2;
|
|
|
|
// Rate of download of block i:
|
|
// A client can download from the single client which starts with all blocks
|
|
// or from anyone that has subsequently downloaded it.
|
|
// Total number of concurrent downloads for each block is 4.
|
|
formula rate1=mu*(1+min(3,b11+b21+b31+b41));
|
|
formula rate2=mu*(1+min(3,b12+b22+b32+b42));
|
|
formula rate3=mu*(1+min(3,b13+b23+b33+b43));
|
|
formula rate4=mu*(1+min(3,b14+b24+b34+b44));
|
|
formula rate5=mu*(1+min(3,b15+b25+b35+b45));
|
|
formula rate6=mu*(1+min(3,b16+b26+b36+b46));
|
|
|
|
// client 1
|
|
module client1
|
|
|
|
// bij - has client i downloaded block j yet?
|
|
b11 : [0..1];
|
|
b12 : [0..1];
|
|
b13 : [0..1];
|
|
b14 : [0..1];
|
|
b15 : [0..1];
|
|
b16 : [0..1];
|
|
|
|
// Downloading of each block (see rate computations above)
|
|
[] b11=0 -> rate1 : (b11'=1);
|
|
[] b12=0 -> rate2 : (b12'=1);
|
|
[] b13=0 -> rate3 : (b13'=1);
|
|
[] b14=0 -> rate4 : (b14'=1);
|
|
[] b15=0 -> rate5 : (b15'=1);
|
|
[] b16=0 -> rate6 : (b16'=1);
|
|
|
|
endmodule
|
|
|
|
// construct remaining clients through renaming
|
|
module client2=client1[b11=b21,b12=b22,b13=b23,b14=b24,b15=b25,b16=b26,b21=b11,b22=b12,b23=b13,b24=b14,b25=b15,b26=b16] endmodule
|
|
module client3=client1[b11=b31,b12=b32,b13=b33,b14=b34,b15=b35,b16=b36,b31=b11,b32=b12,b33=b13,b34=b14,b35=b15,b36=b16] endmodule
|
|
module client4=client1[b11=b41,b12=b42,b13=b43,b14=b44,b15=b45,b16=b46,b41=b11,b42=b12,b43=b13,b44=b14,b45=b15,b46=b16] endmodule
|
|
|
|
// labels
|
|
label "done1" = b11+b12+b13+b14+b15+b16 = 6; // client 1 has received all blocks
|
|
label "done2" = b21+b22+b23+b24+b25+b26 = 6; // client 2 has received all blocks
|
|
label "done3" = b31+b32+b33+b34+b35+b36 = 6; // client 3 has received all blocks
|
|
label "done4" = b41+b42+b43+b44+b45+b46 = 6; // client 4 has received all blocks
|
|
label "done" = (b11+b12+b13+b14+b15+b16)+(b21+b22+b23+b24+b25+b26)+(b31+b32+b33+b34+b35+b36)+(b41+b42+b43+b44+b45+b46) = 24; // all clients have received all blocks
|
|
|
|
// reward: fraction of blocks received
|
|
rewards "frac_rec"
|
|
true : ((b11+b12+b13+b14+b15+b16)/6)/4;
|
|
true : ((b21+b22+b23+b24+b25+b26)/6)/4;
|
|
true : ((b31+b32+b33+b34+b35+b36)/6)/4;
|
|
true : ((b41+b42+b43+b44+b45+b46)/6)/4;
|
|
endrewards
|