Timeline for Custom Nurse Rostering Problem
Current License: CC BY-SA 4.0
25 events
| when toggle format | what | by | license | comment | |
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| Jan 24, 2020 at 20:51 | vote | accept | Overflow 404 | ||
| Jan 24, 2020 at 20:51 | vote | accept | Overflow 404 | ||
| Jan 24, 2020 at 20:51 | |||||
| S Jan 24, 2020 at 20:51 | history | bounty ended | Overflow 404 | ||
| S Jan 24, 2020 at 20:51 | history | notice removed | Overflow 404 | ||
| Jan 24, 2020 at 20:50 | vote | accept | Overflow 404 | ||
| Jan 24, 2020 at 20:51 | |||||
| Jan 19, 2020 at 18:55 | answer | added | Kuifje | timeline score: 3 | |
| Jan 18, 2020 at 19:45 | history | edited | TheSimpliFire♦ | CC BY-SA 4.0 |
Improved TeX formatting
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| Jan 18, 2020 at 19:37 | history | edited | TheSimpliFire♦ | CC BY-SA 4.0 |
Improved TeX formatting
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| S Jan 18, 2020 at 18:08 | history | bounty started | Overflow 404 | ||
| S Jan 18, 2020 at 18:08 | history | notice added | Overflow 404 | Draw attention | |
| Jan 18, 2020 at 11:19 | comment | added | Overflow 404 | @dhasson I would like to penalize the difference between the maximum workload and the minimum one | |
| S Jan 17, 2020 at 13:22 | history | suggested | dhasson | CC BY-SA 4.0 |
Fixed LaTeX inequality symbols
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| Jan 17, 2020 at 13:19 | review | Suggested edits | |||
| S Jan 17, 2020 at 13:22 | |||||
| Jan 17, 2020 at 10:47 | history | edited | Overflow 404 | CC BY-SA 4.0 |
added 1453 characters in body
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| S Jan 17, 2020 at 5:52 | history | suggested | dhasson |
Added tag. I also suggest creating a new "rostering" tag for this category of problems (can't add it myself).
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| Jan 17, 2020 at 2:55 | review | Suggested edits | |||
| S Jan 17, 2020 at 5:52 | |||||
| Jan 16, 2020 at 22:00 | comment | added | prubin♦ | Your objective function is actually a constant ($31 (n_{\mathrm{Morning}} + n_{\mathrm{Afternoon}} + n_{\mathrm{Night}})$). | |
| Jan 16, 2020 at 19:49 | comment | added | dhasson | OK, you would prefer a perfect balance between the nurses' shifts. But how would you like to model the fulfilment of that condition? For example, some alternatives could be 1) penalizing the deviation from an average of nurse workload or 2 ) penalizing the difference between the maximum workload and the minimum one? | |
| Jan 16, 2020 at 19:47 | comment | added | dhasson | So you'd like the "Rest at the weekend and on holiday have to be balanced between all nurses" constraint to comprise long term, further than a month (the model's planning horizon)? To consider the situation you write, you could create an additional parameter, which indicates if the nurse worked the last day of the previous month (like a border condition). This parameter must comply with all the model's constraints such that each month's schedule gets consistently coupled with the next month's solution. You'll also need new constraints to link the variables with this border condition. | |
| Jan 16, 2020 at 17:00 | history | edited | TheSimpliFire♦ | CC BY-SA 4.0 |
Improved TeX formatting
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| Jan 16, 2020 at 15:31 | comment | added | Overflow 404 | Mmm but how can I assure, for example, that if nurse $ x $ work on 31 December of year $ x $ then in the year $ x + 1 $ she doesn't work? I woulda perfect balancing | |
| Jan 16, 2020 at 15:07 | comment | added | dhasson | Hi, welcome to OR.SE. Yes, with those variables you'll be able to model the constraints mentioned at your post. But depending on how you want to model the one about balanced rest on weekends and holidays between all nurses, it could be helpful to create some auxiliary variables and/or slack variables. As you want to plan for a whole month I guess the problem instance could become large, in that case you should consider using standard approaches like column generation. You could also experiment replacing the equality constraint (on the 3 equalities you wrote) by greather-than-equal constraints. | |
| Jan 16, 2020 at 14:41 | comment | added | Stradivari | Original: math.stackexchange.com/questions/3505141/… | |
| Jan 16, 2020 at 14:05 | review | First posts | |||
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| Jan 16, 2020 at 14:02 | history | asked | Overflow 404 | CC BY-SA 4.0 |