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Table 2 Notation in MPMH-MRMC

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

Symbol

Description

R 0

The number of radios of a node in the network

N

The number of nodes

P s

Set of selected paths of all flows

H

Set of links in P s

l pi

The i-th link of the p-th path

\({l_{pi}^{x}}\)

The x-th tuple link of link l pi

w pi

The initial weight of link l pi

\({w_{pi}^{t}}\)

The remaining weight of link l pi in the t-th pairing

t pi

The transmitter of link l pi (tuple link \({l_{pi}^{x}}\))

r pi

The receiver of link l pi (tuple link \({l_{pi}^{x}}\))

\(\textbf {R}_{{t_{pi}}}^{t}\)

Set of unused radios of transmitter t pi in the t-th pairing

\(\textbf {R}_{{r_{pi}}}^{t}\)

Set of unused radios of receiver r pi in the t-th pairing

F p

The hop number of the first unscheduled link of the p-th path

\({\textbf {P}_{muh}^{t}}\)

Set of unvisited paths with the largest number of unscheduled links

\(\textbf {P}_{u}^{t}\)

Set of unvisited paths in the t-th pairing

H t

Set of links in the t-th pairing

\(\textbf {H}_{0}^{t}\)

Set of tuple links in the t-th pairing

δ t

Number of time slots of the t-th pairing

\({I_{pi}^{x}}\)

The cumulative interference level of tuple link \({l_{pi}^{x}}\)