Table 1 Symbols used in this paper and their definitions

R _T

Node transmission range

C

Total number of available channels

c

Number of possible channels at each node

l

Channel type

L

Total number of channel types

c _l

Number of detected channels of each type at each node index

p

Probability of a particular channel availability at each node

$P_{\mathit{cat},T_l}$

Probability that there is at least one single channel among c channels between two nodes

P _car,c

Probability that there is at least one common channel among all hops in a route

λ

Poisson density of nodes' spatial distribution in the network

R _l

Transmission range of a channel of type l

P _snd

Signal power at transmitting antenna

P _r

Receiving power at distance r

P _STPCH

Signal power threshold for preemptive channel handoff

W _{ch, l}

Warning distance for nodes communicating on a channel of type l

W _link

Warning distance for preemptive local flow handoff region

v _relative

Relative speed

P_CTR, _l

Received power at channel transmission range of type l

SHTH,l

Handoff threshold for the preemptive channel handoff

LHTH

Handoff threshold for the preemptive local flow handoff

P _SLFTH

Signal power threshold for preemptive flow handoff

P _NTR

Power received at the node transmission range, R _l

t _w

Interval from the warning till the break

$t_{\mathit{ava},T_l}$

Channel availability time for the channel of type l

$t_{\mathit{ava},T_l,H_i}$

Channel availability time for the channel of type l available in hop i

t _ava,L

Link availability time

$w_{T_l}{,}_{D_{i-1i}}$

Location weight for case D_{i- 1 i} and channel of type T _l

h _i,l

Possibility of using the channel of type l, detected by both nodes belonging to the hop i (H _i )

${\eta }_{H_i},{}_{C_{\mathit{lz}}}$

Possibility of using the channel z of type l for communicating in hop i

${\xi }_{H_i,{}_T^l}$

Possibility of using the channel of type l for data transmission in hop i

$A{M}_{C_{\mathit{lz}}}$

Channel allocation metric for channel z of type l

$C_{H_i}$

The set of detected channels by the two nodes belonging to the hop i

$C_{H_{i,l}z}$

Channel z of type l belonging to the set of detected channels by the two nodes belonging to the hop i

$C_{H_i,\mathit{usable}}$

The set detected channel that can be used for communication in hop i