Table 1 Parameters for EASO-TDMA

N

The number of ships

i

The index of a ship (1≤i≤N)

j

The index of ship i’s neighboring ships

k

The index of ship i’s subscribing ships

TN

The index of a TDMAframe

MN

The index of a multiframe

SN

The index of a superframe

HN

The index of a hyperframe

TSN

The index of a time slot

T S N _i

The index of time slot reserved by ship i

N _BSMF

The number of multiframes

per superframe for use in a base station

N _Oi

The occupancy number of ship i

N _Fi

The number of failures of ship i

n _R (i,H N)

The number of ship i’s

subscribing ships at hyperframe HF

S e t _R (i,H N)

The set of ship i’s subscribing ships

at hyperframe HF

N _SF (i,H N,S N)

The number of time slots allocated by ship i

at hyperframe HF and superframe SN

N _SFidle (i,H N,S N)

The number of idle time slots scanned by ship i

at hyperframe HF and superframe SN

N _MFidle (i,H N,S N,M N)

The number of idle time slots

scanned by ship i at hyperframe HF,

superframe SN, and multiframe MN

N _TFidle (i,H N,S N,M N,T N)

The number of idle time slots

scanned by ship i at hyperframe HF,

superframe SN, multiframe MN,

and TDMAframe TN