Nurse Scheduling Help

[nishatian1]

Hello !

I am currently studying a course "Intro to Management Sciences" in which we were assigned to do a project on "Nurse Scheduling". We visited a nearby hospital and tried to gather information but they only shared a little info while they told us that further information could not be provided due to confidentiality.
Attached is the model we tried to create. We have to optimally schedule each nurse so that our cost could be minimized and maximum available of nurses is ensured. Our decision variables are more than 200 so we have used opensolver to solve it but even after putting all the constraints we are not getting a feasible solution.

Shift 1 Timing: 0700-1200
Shift 2 Timing: 1200-1700

Objection Function: Cost minimization
Decision Variables: Individual Nurse Shift (Binary)
Constraints:
Minimum Working Days in a week : 5 (10 shift)
Maximum Consecutive Shifts: 2
Maximum Off Shifts: 4 (2 days)
Maximum Morning (Shift 1)Shifts: 7
Minimum Morning (Shift 1)Shifts: 2
Maximum Evening (Shift 2) Shifts: 2
Minimum Evening (Shift 2) Shifts: 2

I have been able to add only first constraint (Min Working Days One)
If someone could help me solving this model. That would be quite helpful.

File Link: https://www.dropbox.com/s/6ftqv783h49rkz5/proj.xlsx?dl=0

Thanks

 

[NdNoviceHlp]

Welcome to the Board! Please review the posting guidelines. I'm pretty sure we don't do home work here. Please have someone U know review your post and see if they understand it... I don't. As a nurse with some familiarity with the topic, I should be able to understand your needs. This is an XL forum. Please indicate here what U have done and what help U need... the more specific U are, the more likely U will get the help U want. I have/will not look at your link. Having said all of that I would also like to add that U may arrive at a wonderfully efficient lowest cost schedule with the maximum available nurses but if the schedule sucks the nurses won't work it... staff illness will go up, retention will go down and U won't be able to recruit nurses to the positions available. So, trying to re-invent the wheel may be a whole lot of effort for disasterous results. Things usually are the way they are for a reason. Using solver seems like it may work or you could use VBA to randomly generate potential outcomes until it randomly arrives at a solution that fits within all of your desired constraints. HTH. Dave