Abstract
The multidimensional assignment problem (MAP), also known as multi-index assignment problem, is a natural extension of the assignment problem. A MAP deals with the question of how to assign elements from s disjoint sets with n 1 ,…,n s items on each. A MAP with s dimensions is called a sAP. Local search heuristics and Memetic algorithms have been proven to be the most effective techniques to solve MAP. In this work we use an exact technique that outperforms some local searches and Memetic algorithms on several instances of MAP. Then, we design a heuristic that uses repeatedly our exact technique in order to provide high quality solutions for harder types of instances of MAP. We perform an experimental evaluation of our exact technique and of our heuristic and we show its effectiveness against more complex local searches and some Memetic algorithms for MAP.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.