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Table 1 Notation in problem formulation

From: SINR-based scheduling in multi-path multi-hop multi-radio multi-channel mmWave WPANs

Symbol Description
K The number of pairings in a schedule
V The number of flows in the network
M v The number of paths of the v-th flow
H vp The number of hops of the p-th path of the v-th flow
d v The traffic demand of the v-th flow
d vp The traffic demand distributed to the p-th path
l vpi The i-th link of the p-th path of the v-th flow
c vpi The transmission rate of link l vpi
L uqj The set of tuple links of link l vpi
\({l_{vpi}^{x}}\) The x-th tuple link of link l vpi
t vpi The transmitter of link l vpi (tuple link \({l_{vpi}^{x}}\))
r vpi The receiver of link l vpi (tuple link \({l_{vpi}^{x}}\))
\(a_{vpi}^{k}\) A binary variable to indicate whether link l vpi is scheduled in the k-th pairing
\(a_{vpi}^{xk}\) A binary variable to indicate whether tuple link \({l_{vpi}^{x}}\) is scheduled in the k-th pairing
\(\textbf {R}_{{t_{pi}}}\) The set of radios of node t vpi
C The set of channels in the network
\({W_{vpi,uqj}^{x,y}}\) The interference level of tuple link \({l_{vpi}^{x}}\) caused by \({l_{uqj}^{y}}\)