[loa_in_]

As I understand work, an unfilled company job has a

    total normalised workload: w


    c  requirements: r_c(person skill_c, time)

    number of positions to fill: n


    where

        time[now, infinity] integrated:

            sum over i:= 1 to c:

                involvement of person ×

                r_i(person skill_i)

        = w


    (solving for total involvement × requirement = total normalised workload,

    because it's a boundary of inequality (>=100% of w))

That is applicable to set of all living people at the moment L

    finds out about posting: A subset of L

    would accept: B subset of L


    beta(person) := how much of required workload will this person fill after integrating their (involvement x requirement) over their time there


     time: 0 to inf (now until end of the universe)

     involvement(t): -inf to inf (work units)

     requirement_i(t): [0, 1] (in units inverse to work units)


     (a capable and willing person who's not conscious will have involvement=0,

     someone who only would work on weekends for a place that's closed on weekends will have person skill_attendance>0 on weekends, but requirement_attendance>0 only on workdays, a disjoint set)


    a person with beta=1 fills the position until the position ceases to exist

    basically nobody has beta=1, that happens probably only if trade becomes obsolete or position is e.g. to paint a specific room)


    remaining workload after parting ways (company closed, person dead and/or universe ended): 

    w_r = w - beta(w)

    if w_r = 0 then they never have to hire anyone for this position ever again

    otherwise the hiring process repeats with w=w_r

Here, there's a start to formalizing the problem if someone is willing to look into this. It's my half an hour armchair take on this, because I figured it is all I can do. even if it's not anything at all, I tried and enjoyed the process.

I think my main point is, hiring processess seem to be very far from addressing the basic parameters of actual process of working somewhere in my view.

Let's get GPT-4 onto this maybe