Figures (5)  Tables (4)
    • Figure 1. 

      Flowchart of the suggested method.

    • Figure 2. 

      Causal diagrams of factors of emergency scenarios $ {{\hat e}}_1^{{{{t}}_1}} $ and $ {{\hat e}}_2^{{{{t}}_1}} $. (a) for $ {{\hat e}}_1^{{{{t}}_1}} $; (b) for $ {{\hat e}}_2^{{{{t}}_1}} $.

    • Figure 3. 

      Evolutions of simulation performance or state values of factors of emergency scenarios $ {{\hat e}}_1^{{{{t}}_1}} $ and $ {{\hat e}}_2^{{{{t}}_1}} $. (a) for $ {{\hat e}}_1^{{{{t}}_1}} $; (b) for $ {{\hat e}}_2^{{{{t}}_1}} $.

    • Figure 4. 

      Causal diagrams of factors of emergency scenarios $ {{\hat e}}_1^{{{{t}}_2}} $, $ {{\hat e}}_2^{{{{t}}_2}} $ and $ {{\hat e}}_3^{{{{t}}_2}} $. (a) for $ {{\hat e}}_1^{{{{t}}_2}} $; (b) for $ {{\hat e}}_2^{{{{t}}_2}} $; (c) for $ {{\hat e}}_3^{{{{t}}_2}} $.

    • Figure 5. 

      Evolutions of simulation performance or state values of factors of emergency scenarios $ {{\hat e}}_1^{{{{t}}_2}} $, $ {{\hat e}}_2^{{{{t}}_2}} $ and $ {{\hat e}}_3^{{{{t}}_2}} $. (a) for $ {{\hat e}}_1^{{{{t}}_2}} $; (b) for $ {{\hat e}}_2^{{{{t}}_2}} $; (c) for $ {{\hat e}}_3^{{{{t}}_2}} $.

    • FactorDescription
      F1 (C)Typhoon Mujigae with estimated maximum sustained winds of 175 km/h near its centre at its peak intensity
      F2 (C)Checking ladder of tank destroyed and a leaking hole with a diameter of about 60 mm at the top of the tank
      F3 (C)Liquefied petroleum gas leakage with pressure of about 0.6 MPa
      F4 (C)Roads blocked by fallen trees, billboards and overturned cars etc.
      F5 (C)Hazardous chemicals nearby may be ignited if the leaking tank explodes
      F6 (C)Rescue workers and the surrounding people threatened by the explosion risk
      F7 (B)Releasing gas pressure with the leaking hole without human intervention
      F8 (B)Diluting the leakage gas by virtue of natural conditions such as wind and rain
      F9 (B)Disaster relief teams travelling and rescuing
      F10 (B)Evacuate the masses and set up security cordons
      F11 (B)Clearing roadblocks and evacuating traffic
      F12 (B)Diluting the air in the leaking area using fire fighting hoses
      F13 (B)Plugging the leaking hole with cork
      F14 (B)Transferring the remaining liquefied petroleum gas to a safety zone from the tank

      Table 1. 

      Influential factors of emergency scenarios at time point $ {{{t}}_1} $ and $ {{{t}}_2} $.

    • F1F2F3F4F5F6F7F8F9F10F11$ {{\text{R}}_{{t_1}}} $
      F1(s0,0)(s1,−0.333)(s0,0)(s3,−0.333)(s0,0)(s0,0)(s0,0)(s2,−0.333)(s-1,0)(s-1,0)(s-2,−0.333)(a1,0.333)
      F2(s0,0)(s0,0)(s1,−0.333)(s0,0)(s0,0)(s0,0)(s1,0)(s0,0)(s0,0)(s0,0)(s0,0)(b2,−0.333)
      F3(s0,0)(s0,0)(s0,0)(s0,0)(s2,-0.333)(s1,0.333)(s0,0)(s0,−0.333)(s0,−0.333)(s0,0)(s0,0)(b2,0)
      F4(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s2,−0.333)(s-1,0)(s0,0)(b0,0.333)
      F5(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s1,−0.333)(s0,0)(s0,0)(s0,−0.333)(s0,0)(s0,0)(b0,0.333)
      F6(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,−0.333)(s-1,−0.333)(s0,0)(b1,−0.333)
      F7(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s1,0)(s0,0)(s0,0)(c0,0.333)
      F8(s0,0)(s0,0)(s0,0)(s0,0)(s-2,0)(s0,−0.333)(s0,0)(s0,0)(s2,−0.333)(s1,0)(s0,0)(c1,−0.333)
      F9(s0,0)(s0,0)(s-1,−0.333)(s-2,0)(s-1,−0.333)(s-1,−0.333)(s0,0)(s1,0)(s0,0)(s1,0.333)(s0,0)(c1,0.333)
      F10(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s-2,−0.333)(s0,0)(s0,0)(s1,0)(s0,0)(s0,0)(c1,−0.333)
      F11(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s1,0.333)(s1,0)(s0,0)(s3,−0.333)(s1,−0.333)(s0,0)(c2,−0.333)

      Table 2. 

      Collective BTLDRM $ {A_{{t_1}}} $ and assessments $ {{{R}}_{{t_1}}} $ at $ {{{t}}_1} $.

    • F1F2F3F5F6F7F9F12F13F14
      F1(s0,0)(s0,0.333)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0.333)(s0,0)(s0,0)
      F2(s0,0)(s0,0)(s1,0)(s0,0)(s0,0)(s1,0)(s0,0)(s0,0)(s-1,−0.333)(s0,0)
      F3(s0,0)(s0,0)(s0,0)(s1,0.333)(s0,0.333)(s0,0)(s-1,−0.333)(s0,0)(s0,0)(s0,0)
      F5(s0,0)(s0,0)(s0,0)(s0,0)(s-1,0.333)(s0,0)(s-1,0)(s0,0)(s0,0)(s0,0)
      F6(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s-1,0.333)(s0,0)(s0,0)(s0,0)
      F7(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s0,0)(s1,0)(s1,0.333)(s2,0.333)(s0,0)
      F9(s0,0)(s0,0)(s-2,0.333)(s-1,−0.333)(s-1,0.333)(s0,0.333)(s0,0)(s1,−0.333)(s1,0.333)(s1,0.333)
      F12(s0,0)(s0,0)(s0,0)(s-2,0.333)(s-2,0.333)(s0,0)(s0,0)(s0,0)(s2,−0.333)(s0,0)
      F13(s0,0)(s0,0)(s-3,−0.333)(s0,0)(s0,0)(s0,0)(s1,−0.333)(s0,0)(s0,0)(s2,−0.333)
      F14(s0,0)(s0,0)(s0,0)(s-1,0)(s-1,0)(s0,0)(s0,0.333)(s0,0)(s0,0)(s0,0)

      Table 3. 

      Collective BTLDRM $ {A_{{t_2}}} $ at $ {{{t}}_2} $.

    • Time pointEmergency scenarioFactor weightCause-effect classificationOverall performance value
      Cause factorEffect factor
      $ {{{t}}_1} $$ {{\hat e}}_1^{{{{t}}_1}} $F1:0.126; F2:0.057; F3:0.114; F4:0.081; F5:0.083;
      F6:0.102; F7:0.048; F8:0.101; F9:0.192; F10:0.097
      F1; F2; F3F4; F5; F6; F7; F8; F9; F100.389
      $ {{\hat e}}_2^{{{{t}}_1}} $F1:0.134; F2:0.046; F3:0.096; F4:0.070; F5:0.071; F6:0.100;
      F7:0.049; F8:0.089; F9:0.185; F10:0.089; F11:0.074
      F1; F2; F3; F11F4; F5; F6; F7; F8; F9; F100.640
      $ {{{t}}_2} $$ {{\hat e}}_1^{{{{t}}_2}} $F1:0.013; F2:0.072; F3:0.138; F5:0.115; F6:0.085;
      F7:0.109; F9:0.165; F12:0.088; F13:0.138; F14:0.077
      F1; F2; F7; F9; F12; F13F3; F5; F6; F140.663
      $ {{\hat e}}_2^{{{{t}}_2}} $F1:0.014; F2:0.072; F3:0.141; F5:0.119; F6:0.088;
      F7:0.084; F9:0.171; F12:0.093; F13:0.140; F14:0.079
      F1; F2; F7; F9; F12; F13F3; F5; F6; F140.348
      $ {{\hat e}}_3^{{{{t}}_2}} $F1:0.014; F2:0.072; F3:0.141; F5:0.118; F6:0.087;
      F7:0.085; F9:0.173; F12:0.091; F13:0.139; F14:0.080
      F1; F2; F7; F9; F12; F13F3; F5; F6; F140.410

      Table 4. 

      Results obtained by the DEMATEL method.