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

Table 3

Calculation of an example of the Average DOD value.

Configuration 𝑗	Network configuration*	Probability 𝑃𝑗 of configuration 𝑗	DOD value 𝐷𝑗 on configuration 𝑗	Probability 𝑃𝑗  ×  DOD value 𝐷𝑗
1	1, 2, 3, 4, 5, 6, 7, 8, 9	∏^𝑛𝑖=1(1−𝑆𝑖)	𝐷1	0
2	1, 2, 3, 4, 5, 6, 7, 8, 9	𝑆1∏^𝑛𝑖=2(1−𝑆𝑖)	𝐷2	𝐷2𝑆1∏^𝑣𝑖=2(1−𝑆𝑖)
3	1, 2, 3, 4, 5, 6, 7, 8, 9	1−𝑆1 𝑆2∏^𝑛𝑖=3(1−𝑆𝑖)	𝐷3	𝐷31−𝑆1𝑆2∏^𝑣𝑖=3(1−𝑆𝑖)
⋮	⋮	⋮	⋮	⋮
512	1, 2, 3, 4, 5, 6, 7, 8, 9	∏^𝑛𝑖=1𝑆𝑖	𝐷4	𝐷4∏^𝑛𝑖=1𝑆𝑖

^∗𝑖 means the node 𝑖 is compromised in configuration 𝑗.