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Table 1 The rules for constructing the generation matrix

From: Survivable strategy set design for malicious attack propagation in NEMO scenario

Transition state Condition P ij State i to state j
Attack phase i[0] = 1; j[0] = 0 λ 1 (1,1, …,1)→(0,1, …,1)
{1′} i λ 2 (0,1, …,1)→(0,0, …,1)
{1′} j ……
L(i) = L(j) + 1 λ n (0,0, …,1)→(0,0, …,0)
Repair phase i[0] = 0; j[0] = 1′ μ 1 (0,0, …,0)→(1′,0, …,0)
{1} i μ 2 (1′,0, …,0)→(1′,1′, …,0)
{1} j ……
L′(j) = L(i) + 1 μ n (1′,1′, …,0)→(1′,1′, …,1′)
  1. L is the function to calculate the number of “1” in the state; L′ is the function to calculate the number of “1’” in the state; state (1′,…,1′) ≠ state (1,…,1)