I'm making my first steps in the optimization field. The problem I'm trying to solve is as follows: I'm a TV channel. I have n programs that I want to schedule, in a 24-hours day. For simplicity, let's assume I have 24 programs, and each is 1-hour long. For each program, I have it's predicted ratings for each hour. For example, for program A:
Program A Ratings:
00:00 2.5%
01:00 2.3%
.
.
.
23:00 3.4%
So I have 24 predictions like that, for each program.
Each program should of course be broadcasted once (constraint), and the goal is to maximize the overall rating. I'm struggling to understand how to write the equation.
I tried to look at "order optimization" - but I don't think this is the right term I'm after.
Any help would be appreciated!!!