A goal programming approach for a multi-objective multi-choice assignment problem

Abstract

In this paper, we study a multi-objective multi-choice assignment problem considering cost and time objectives subject to some realistic constraints including multi-job assignment. We assume that the decision-maker provides multiple aspiration levels regarding both cost and time objectives using discrete choices as well as interval values. To obtain efficient allocation plans, we use multi-choice goal programming methodology to solve the assignment problem. The proposed methodology is illustrated through numerical examples.

Keywords:

• assignment problem
• multi-objective optimization
• multi-choice goal programming
• membership function

Acknowledgments

We are thankful to the Editor-in-Chief, Associate Editor, and anonymous referees for their valuable comments and suggestions to improve presentation of the paper. The first author acknowledges the Research and Development Grant received from University of Delhi, Delhi, India.