Abstract

This paper presents an algorithm for the enumeration of the set of all efficient solutions for a linear multiple objective program. The procedure first finds whether an efficient solution exists for a given linear multiple objective program and then determines an initial efficient basic solution. In a second step the set of all efficient basic solutions and of all efficient extreme rays is established. Finally, the set of all efficient solutions is constructed as a union of a minimal number of convex sets of efficient solutions. The procedure developed in this paper will be illustrated by a numerical example.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

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.