Optimal capacity allocation for heavy-traffic fixed-cycle traffic-light queues and intersections
| Autor: | Marko Boon, Guido Janssen, Johan van Leeuwaarden, Rik Timmerman |
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| Přispěvatelé: | Stochastic Operations Research |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
History
Polymers and Plastics Probability (math.PR) Transportation Management Science and Operations Research Heavy traffic Capacity allocation problem Industrial and Manufacturing Engineering Fixed-cycle traffic-light queue Optimal signal settings Queueing theory Optimization and Control (math.OC) FOS: Mathematics Computer Science::Networking and Internet Architecture Business and International Management Mathematics - Optimization and Control Mathematics - Probability Civil and Structural Engineering |
| Zdroj: | arXiv, 2021:2104.04303. Cornell University Library Transportation Research Part B: Methodological, 167, 79-98. Elsevier |
| ISSN: | 2331-8422 0191-2615 |
| Popis: | Setting traffic light signals is a classical topic in traffic engineering, and important in heavy-traffic conditions when green times become scarce and longer queues are inevitably formed. For the fixed-cycle traffic-light queue, an elementary queueing model for one traffic light with cyclic signaling, we obtain heavy-traffic limits that capture the long-term queue behavior. We leverage the limit theorems to obtain sharp performance approximations for one queue in heavy traffic. We also consider optimization problems that aim for optimal division of green times among multiple conflicting traffic streams. We show that inserting heavy-traffic approximations leads to tractable optimization problems and close-to-optimal signal prescriptions. The same type of limiting result can be established for several vehicle-actuated strategies which adds to the general applicability of the framework presented in this paper. |
| Databáze: | OpenAIRE |
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