Table 5 Optimal values of each objective and path set.

From: Multi-objective route optimization for electric vehicle hazardous materials transportation in uncertain environments

Single optimal solution

Objective function

Path number

Path set

\(Z_{1}\)

\(Z_{2}\)

\(Z_{3}\)

\(Z_{1}\)

0.523

5795.78

0.563

1

0–22-6–23-10-[30]-0

2

0–26-9–13-[30]-0

3

0–21-17–28-[29]-0

4

0–24-2–8-12–1-[32]-0

5

0–20-25–18-[32]-0

6

0–27-14–15-19-[29]-0

7

0–3-16–11-5–4-[31]-7–0

\(Z_{2}\)

0.714

4653.67

0.472

1

0–7-22–25-18-[32]-10–13-[30]-0

2

0–14-19–28-17–15-8-[29]-0

3

0–4-21–5-20-[30]-0

4

0–16-3–26-11–9-[30]-0

5

0–27-24–2-12–1-[32]-6–23-[30]-0

\(Z_{3}\)

0.602

6449.55

0.621

1

0–7-28–15-17–8-[29]-0

2

0–20-10–13-[30]-0

3

0–14-19–12-2-[29]-0

4

0–3-9–11-5–26-4-[31]-0

5

0–21-24–1-[32]-0

6

0–16-25–22-27-[29]-0

7

0–6-23–18-[32]-0