Ayad M. Ramadan
Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah

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An Exact Solution for a Single Machine Scheduling Under Uncertainty Rebaz Abdulla Sharif; Ayad M. Ramadan
Jambura Journal of Mathematics Vol 5, No 1: February 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (3013.221 KB) | DOI: 10.34312/jjom.v5i1.16156

Abstract

Here we have n jobs on one machine where the processing times are triangular fuzzy numbers. The jobs are available to process without interruption. The purpose is to find a best sequence of the jobs that minimizes total fuzzy completion times and maximum fuzzy tardiness. In this paper a new definition is presented called D-strongly positive fuzzy number, then an exact solution of the problem through this definition is found. This definition opens new ideas about converting scheduling problems into fuzzy cases.