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September 5, 2025MathematicsOpen Access

Generalized Product-Form Solutions for Stationary and Non-Stationary Queuing Networks with Application to Maritime and Railway Transport

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Authors

ГЦГ. Ш. ЦициашвилиInstitute of Chemistry, Far Eastern Branch of the Russian Academy of Sciences

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Implication

The research demonstrates a new model for queuing networks, highlighting service intensity effects on performance and implications for transport systems.

Key Points

A new stationary model shows how service intensity based on customers drastically affects performance in queuing networks.
Non-stationary models reveal significant insights into irregular sea transportation, utilizing product formulas for flow calculations.
The integration of graph-theoretic methods provides a unified approach to stationary and non-stationary queuing networks.
The results indicate that even minor increases in service intensity can lead to substantial reductions in average wait times in queuing systems.

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Г. Ш. Цициашвили (2025) studied this question.

synapsesocial.com/papers/68bb4d196d6d5674bcd009d1 https://doi.org/10.3390/math13172810

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Implication

The research demonstrates a new model for queuing networks, highlighting service intensity effects on performance and implications for transport systems.

Generalized Product-Form Solutions for Stationary and Non-Stationary Queuing Networks with Application to Maritime and Railway Transport

Discussion

Member takes

Implication

Key Points

Cite This Study

Generalized Product-Form Solutions for Stationary and Non-Stationary Queuing Networks with Application to Maritime and Railway Transport

Discussion

Member takes

Implication

Key Points

Cite This Study

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