A Distributed Flow Rate Control Algorithm for Networked Agent System with Multiple Coding Rates to Optimize Multimedia Data Transmission

Table 1

Mathematical symbols used in modeling and algorithm.

Symbols	Explanation
𝑠	Source node.
𝑝^𝑓𝑖	The 𝑖th fixed nodes.
𝑝^𝑚𝑖	The 𝑖th mobile nodes.
𝐏𝑓	The set of fixed nodes.
𝐏𝑚	The set of mobile nodes.
𝑛𝑓	Number of fixed nodes.
𝑛𝑚	Number of fixed nodes.
𝑟𝑓	Minimum flow rate of fixed node.
𝑟𝑚	Minimum flow rate of mobile node.
𝑢^𝑓𝑖	Upload bandwidth of the 𝑖th fixed node.
𝑢^𝑚𝑖	Upload bandwidth of the 𝑖th mobile node.
𝑢𝑓	Average upload bandwidth of fixed nodes.
𝑢𝑚	Average upload bandwidth of mobile nodes.
u(⋅)	Function of upload bandwidth.
𝑢𝑠	Design size of source node upload bandwidth.
𝑢𝑖^′𝑓	Remaining upload bandwidth of 𝑝^𝑓𝑖 after meeting the flow rate needs of 𝐏𝑓.
𝑢^′𝑠	Remaining upload bandwidth of 𝑠  after meeting the flow rate needs of 𝐏𝑓.
𝑢^′all	All the remaining upload bandwidth of the system after meeting the flow rate needs of 𝐏𝑓.
𝑠^𝑓𝑜𝑖	Multimedia data flow rate size that 𝑠 sends to 𝑝^𝑓𝑖.
𝑠^𝑚𝑜𝑖	Multimedia data flow rate size that 𝑠 transcodes for 𝑝^𝑚𝑖 and sends to 𝑝^𝑚𝑖.
𝑠^𝑡𝑘𝑖	Multimedia data flow rate size that 𝑝^𝑓𝑘 transcodes for 𝑝^𝑚𝑖 and sends to 𝑝^𝑚𝑖.
tr^𝑓𝑖	Total flow rate of multimedia data 𝑝^𝑓𝑖 received.
tr^𝑚𝑖	Total flow rate of multimedia data 𝑝^𝑚𝑖 received.