A Hierarchical method to solve one machine multicriteria sequencing problem

نویسندگان

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

doi
10.22034/cmde.2024.61553.2667
چکیده

The problem of minimizing a function of three criteria maximum‎ ‎earliness‎, ‎total of square completion times‎, ‎and total lateness in a ‎hierarchical (lexicographical) method is proposed in this article‎. On one machine‎, ‎n independent tasks (jobs) must planned‎. ‎It is‎ ‎always available starting at time zero and can only do the mono task‎ (job) at a time period‎. ‎Processing for the task (job) $j (j=1,2,...,nj)$‎ ‎is necessary meantime the allotted positive implementation time‎ ‎$p_{tj}$‎. ‎For the problem of three criteria maximization earliness‎, a total of square completion times‎, ‎and total lateness in a hierarchy‎ ‎instance‎, ‎the access of limitation that which is the desired sequence‎ is held out‎. ‎The Generalized Least Deviation Method (GLDM) and a robust‎ ‎technique for analyzing historical data to project future trends are‎ analyzed‎.