On Probability Distributions of the Operational Law of Container Liner Ships

Song, Yunting; Wang, Nuo

doi:10.1111/rssa.12442

Cited by 10 publications

(3 citation statements)

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“…As mentioned above, the occurrence of event A will be subject to the schedule. In particular, when the schedule is infinitely restrictive (Song & Wang, 2019),

f false(T_{n}^{dev} false) = \{\begin{matrix} 1, & T_{n}^{dev} = 0 \\ 0, & T_{n}^{dev} \neq 0 \end{matrix})

…”

Section: Analysis Of Deviation Time For Container Liner Shipsmentioning

confidence: 99%

“…Thus, the probability distribution shows the feature of a fixed‐ length distribution. However, given the increasing force of uncertain interference, the constraints of the schedule will start to become relatively weak, especially when the constraints of the schedule are infinitely weakened, this relationship is described in the following equation (Song & Wang, 2019):

f (T_{n}^{dev}) = \{\begin{matrix} λ e^{‐ λ T_{n}^{dev}}, & T_{n}^{dev} \geq 0 \\ 0, & T_{n}^{dev} < 0 \end{matrix})

…”

Section: Analysis Of Deviation Time For Container Liner Shipsmentioning

confidence: 99%

“…In practice, deviation law is applicable to the planning of schedules, which represents a new concept in the field of shipping. Some reports have studied the interarrival law of container liner ships (Song & Wang, 2019) and discussed the operation law among ship groups based on queuing theory. The purpose of this study is to assess time deviation from the point of individual ships.…”

Section: Introductionmentioning

confidence: 99%

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On Probability Distributions of the Time Deviation Law of Container Liner Ships Under Interference Uncertainty

Song

Wang

2020

Journal of the Royal Statistical Society Series A: Statistics in Society

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Container liner shipping is a kind of transportation mode that is operated according to a schedule. Although the goal is to operate container liner ships on time, the actual arrival time and handling time often deviate from the schedule due to uncertain factors. The identification of a proper probability distribution to describe time deviation law will have a significant impact on accurately recognizing the uncertainty of the operation of container liner ships. In view of this problem, this paper discusses the basic characteristics of container liner ships’ operation time, analyses the properties of relevant probability distributions, and selects representative container ports around the world to collect data on the container liner ships’ operation time for statistical verification. The results show that under schedule constraints and interference uncertainty, the time deviation presents a specific state between a fixed length and random distribution that conforms to the properties of an Erlang distribution. Given that container liner shipping follows the same operation rules worldwide, it is reasonable to deduce that the time deviation law could be generalized to other container ports. Finally, the practical value of this study is demonstrated through quantitative evaluation of port congestion degree under various probabilistic models.

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“…As mentioned above, the occurrence of event A will be subject to the schedule. In particular, when the schedule is infinitely restrictive (Song & Wang, 2019),