A Paradox of Telecommuting and Staggered Work Hours in the Bottleneck Model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916246390308864 |
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| author | Sakai, Takara Akamatsu, Takashi Satsukawa, Koki |
| author_facet | Sakai, Takara Akamatsu, Takashi Satsukawa, Koki |
| contents | We study the long- and short-term effects of telecommuting (TLC), staggered work hours (SWH), and their combined scheme on peak-period congestion and location patterns. In order to enable a unified comparison of the schemes' long- and short-term effects, we develop a novel equilibrium analysis approach that consistently synthesizes the long-term equilibrium (location and percentage of telecommuting choice) and short-term equilibrium (preferred arrival time and departure time choice). By exploiting their special mathematical structures similar to optimal transport problems, we derive the closed-form solution to the long- and short-term equilibrium while explicitly considering their interaction. These closed-form solutions elucidate the discrepancies between the effects of each scheme and uncover a paradoxical finding: the introduction of SWH, in conjunction with TLC, may increase the total commuting costs compared to the scenario with only TLC, without yielding any improvement in worker utility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_08352 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Paradox of Telecommuting and Staggered Work Hours in the Bottleneck Model Sakai, Takara Akamatsu, Takashi Satsukawa, Koki Optimization and Control We study the long- and short-term effects of telecommuting (TLC), staggered work hours (SWH), and their combined scheme on peak-period congestion and location patterns. In order to enable a unified comparison of the schemes' long- and short-term effects, we develop a novel equilibrium analysis approach that consistently synthesizes the long-term equilibrium (location and percentage of telecommuting choice) and short-term equilibrium (preferred arrival time and departure time choice). By exploiting their special mathematical structures similar to optimal transport problems, we derive the closed-form solution to the long- and short-term equilibrium while explicitly considering their interaction. These closed-form solutions elucidate the discrepancies between the effects of each scheme and uncover a paradoxical finding: the introduction of SWH, in conjunction with TLC, may increase the total commuting costs compared to the scenario with only TLC, without yielding any improvement in worker utility. |
| title | A Paradox of Telecommuting and Staggered Work Hours in the Bottleneck Model |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2309.08352 |