The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has a number of agents and a number …

Aug 28, 2024 · This section presents an example that shows how to solve an assignment problem using both the MIP solver and the CP-SAT solver. In the example there are five workers …

With the constraint, half-way through the list you are on a particular person, having used up a set of people, considering at every step whether to switch or not to the remaining. Try assigning …

May 16, 2022 · You then assign "agents" to "tasks" using binary variables, and add constraints that preclude assigning a "group agent" to a task and also assigning one of the group's …

To show the efficiency of this method I'll consider some numerical examples for balanced and unbalanced assignment problems, and also for minimization and maximization assignment …

Feb 23, 2016 · An optimization problem is one where we have an “objective function” (which tells us what our goals are) and one or more “constraint functions” (which tell us what the rules …

For optimization problems, there are no well-defined goal nodes. X1, X2, ... , Xn . Xi has an associated domain of possible values. which specify legal combinations of values for these …

A constrained optimization problem is an optimization problem that also has hard constraints specifying which variable assignments are possible. The aim is to find an optimal assignment …

Aug 6, 2018 · Assume there are M M items and N N people with M ≥ N M ≥ N. A single item can be assigned to more than one person; however, item i i cannot be assigned more than di d i …

Dec 1, 2014 · Find a solution which minimizes cost i.e. which gives each customer a dish that is as high on their preference as possible. Additionally, each dish belong to a certain cuisine …