Recovery and Resource Allocation Strategies to Maximize Mobile Network Survivability by Using Game Theories and Optimization Techniques

Table 5

Decision variable.

Notation	Description
^⇀𝑎𝑟	Attacker’s budget allocation, which is a vector of attack cost 𝑎𝑟1, 𝑎𝑟2 to 𝑎𝑟𝑖 in round 𝑟, where 𝑖∈𝑉 and 𝑟∈𝑅
^⇀𝑏𝑟	Defender’s budget allocation, which is a vector of defense cost 𝑏𝑟1, 𝑏𝑟2 to 𝑏𝑟𝑖 in round 𝑟, where 𝑖∈𝑉 and 𝑟∈𝑅
𝑎𝑟𝑖	Attacker’s budget allocation on node 𝑖 in round 𝑟, where 𝑖∈𝑉 and 𝑟∈𝑅
𝑏𝑟𝑖	Defender’s budget allocation on node 𝑖 in round 𝑟, where 𝑖∈𝑉 and 𝑟∈𝑅
^⇀𝑧𝑟𝑖	Defender’s node recovery status, which is a vector of repaired status 𝑧𝑟1, 𝑧𝑟2 to 𝑧𝑟𝑖 in round 𝑟, where 𝑖∈𝑉 and 𝑟∈𝑅
𝑧𝑟𝑖	1 if node 𝑖 is repaired by defender in round 𝑟, 0 otherwise, where 𝑖∈𝑉 and 𝑟∈𝑅
𝐴𝑟	Attacker’s attack budget in round 𝑟, where 𝑟∈𝑅
𝐵𝑟	Defender’s defense budget in round 𝑟, where 𝑟∈𝑅
𝐷^⇀𝑎𝑟,^⇀𝑏𝑟	The Average DOD among 𝑟 rounds, considering that it is under the attacker’s and defender’s budget allocations, is ^⇀𝑎𝑟 and ^⇀𝑏𝑟 in round 𝑟, where 𝑟∈𝑅