Table 3 Evaluation index system for multi-ship collision avoidance decision-making.

From: Deep reinforcement learning model for Multi-Ship collision avoidance decision making design implementation and performance analysis

Index Category

Index Name

Calculation Method

Weight

Justification

Collision Risk

Average Collision Risk

\(\:\frac{1}{NT}\sum\:_{t=1}^{T}\sum\:_{i=1}^{N}{R}_{i}^{t}\)

0.3

Primary safety concern in maritime navigation

Navigation Efficiency

Average Speed Deviation

\(\:\frac{1}{NT}\sum\:_{t=1}^{T}\sum\:_{i=1}^{N}\parallel\:{v}_{i}^{t}-{v}_{i}^{des}\parallel\:\)

0.2

Critical for maintaining schedules and economic operation

COLREGs Compliance

COLREGs Violation Rate

\(\:\frac{1}{NT}\sum\:_{t=1}^{T}\sum\:_{i=1}^{N}\left(1-C\left({s}_{i}^{t},{a}_{i}^{t}\right)\right)\)

0.2

Legal requirement for maritime navigation

Energy Consumption

Average Energy Consumption

\(\:\frac{1}{NT}\sum\:_{t=1}^{T}\sum\:_{i=1}^{N}{E}_{i}^{t}\)

0.15

Environmental and operational cost factor

Decision Stability

Average Decision Change Rate

\(\:\frac{1}{NT}\sum\:_{t=1}^{T}\sum\:_{i=1}^{N}\mathbb{I}\left({a}_{i}^{t}\ne\:{a}_{i}^{t-1}\right)\)

0.15

Impacts crew comfort and equipment wear