Minimum Squared Load Assignment Problem (MSLAP)

The objective of the Minimum Squared Load Assignment Problem (MSLAP) is to find an assignment of a set of tasks with agent-dependent positive processing times to a set of agents that minimizes the total sum of squared workloads over all agents. Each task has to be assigned to exactly one agent and each agent has to perform at least one task.

Download of problem instances: MSLAP-Instances
by Philipp Schulze and Rico Walter

References:
Schulze, P.; Walter, R. (2023): A note on the exact solution of the minimum squared load assignment problem. Computers & Operations Research (revised and resubmitted).