Complete resource pooling of a load-balancing policy for a network of battery swapping stations

Fiona Sloothaak (Corresponding author), James R. Cruise, Seva Shneer, Maria Vlasiou, Bert Zwart

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
66 Downloads (Pure)

Abstract

To reduce carbon emission in the transportation sector, there is currently a steady move taking place to an electrified transportation system. This brings about various issues for which a promising solution involves the construction and operation of a battery swapping infrastructure rather than in-vehicle charging of batteries. In this paper, we study a closed Markovian queueing network that allows for spare batteries under a dynamic arrival policy. We propose a provisioning rule for the capacity levels and show that these lead to near-optimal resource utilization, while guaranteeing good quality-of-service levels for electric vehicle users. Key in the derivations is to prove a state-space collapse result, which in turn implies that performance levels are as good as if there would have been a single station with an aggregated number of resources, thus achieving complete resource pooling.
Original languageEnglish
Pages (from-to)65-120
Number of pages56
JournalQueueing Systems
Volume99
Issue number1-2
Early online date1 Jun 2021
DOIs
Publication statusPublished - Oct 2021

Bibliographical note

Funding Information:
This research is supported by the Netherlands Organisation for Scientific Research through the programs Gravitation NETWORKS Grant 024.002.003, VICI Grant 639.033.413 and MEERVOUD Grant 632.003.002. The work of Seva Shneer is supported by the Mathematical Center in Akademgorodok under Agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation.

Funding

This research is supported by the Netherlands Organisation for Scientific Research through the programs Gravitation NETWORKS Grant 024.002.003, VICI Grant 639.033.413 and MEERVOUD Grant 632.003.002. The work of Seva Shneer is supported by the Mathematical Center in Akademgorodok under Agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation.

Keywords

  • Battery swapping
  • Energy
  • Markov Process
  • Stochastic model applications

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