### Solving a multicriteria problem in a hierarchical method

Document Type : Research Paper

Author

Mathematics Department, College of Science, Diyala University, Diyala, Iraq

Abstract

The problem of minimizing a function of three criteria maximum earliness, the sum of completion times and maximum lateness in a hierarchical method is presented in this paper. A set of n independent jobs has to be scheduled on a single machine that is continuously available from time zero onwards and that can handle no more than one job at a time. Job $j (j=1,2, \ldots,n)$ requires processing during a given positive uninterrupted time $p_j$. An algorithm to find the best possible solution is proposed for the problem of three criteria maximum earliness, the sum of completion times and maximum lateness in a hierarchical case.

Keywords