I am fairly new to optimization modelling but I am encountering a situation in which I supply initial values to my problem and then after I run my optimization those initial values change. This seems counter-intuitive to me though because if the initial values define the starting point of the problem, how then would these values be altered during the optimization process?
This leads me to my question regarding "warm starts". Unfortunately the book I am learning from does not mention what a warm start is, but from what I gather it seems to have something to do with regards to initial values being supplied to solvers. As well, when I Google some variant of what a warm start is, I get a lot of papers on all the various methods to implement them, but not really explaining what they are. If someone would be able to clarify what a warm-start is, and if it's related to my issue, that would be great.