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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.00221 |
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| _version_ | 1866913236898545664 |
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| author | Brandt, Tabea Büsing, Christina Engelhardt, Felix |
| author_facet | Brandt, Tabea Büsing, Christina Engelhardt, Felix |
| contents | Patient-to-room assignment (PRA) is a scheduling problem in decision support for hospitals. It consists of assigning patients to rooms according to certain objectives, e.g., avoiding transfers and respecting single-room requests. This work presents combinatorial insights about the feasibility of PRA and about the assignment of patients to single rooms. We further compare different IP-formulations for PRA as well as the influence of different objectivs on the runtime. Based on these results, we develop a fast IP-based solution approach which obtains high quality solution. The applicability is verified through a computational study with instances derived from real-world data. Results indicate that large, real world instances can be solved to a high degree of optimality within (fractions of) seconds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00221 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Structural Insights and an IP-based Solution Method for Patient-to-room Assignment under Consideration of Single Room Entitlements Brandt, Tabea Büsing, Christina Engelhardt, Felix Optimization and Control 90C27, 90C10, 90C90, 90B50 Patient-to-room assignment (PRA) is a scheduling problem in decision support for hospitals. It consists of assigning patients to rooms according to certain objectives, e.g., avoiding transfers and respecting single-room requests. This work presents combinatorial insights about the feasibility of PRA and about the assignment of patients to single rooms. We further compare different IP-formulations for PRA as well as the influence of different objectivs on the runtime. Based on these results, we develop a fast IP-based solution approach which obtains high quality solution. The applicability is verified through a computational study with instances derived from real-world data. Results indicate that large, real world instances can be solved to a high degree of optimality within (fractions of) seconds. |
| title | Structural Insights and an IP-based Solution Method for Patient-to-room Assignment under Consideration of Single Room Entitlements |
| topic | Optimization and Control 90C27, 90C10, 90C90, 90B50 |
| url | https://arxiv.org/abs/2401.00221 |