We study the problem of minimizing the weighted number of tardy jobs on a single machine with deterministic machine availability constraints. We show that the cases with resumable and non-resumable jobs (1, hk|ri, nr − a| ∑ wiUi and 1, hk|ri, r − a| ∑ wiUi) can both be modeled as a more general scheduling problem, consisting in selecting and scheduling jobs on parallel machines subject to time ...

In this work the authors addresses the problem of sequencing a set of jobs on a single machine using a genetic algorithm and simulation. The goal is to find the schedule that minimizes the total earliness and tardiness penalties of all jobs, under the assumptions that no pre-emption of jobs is allowed and all jobs are available at time zero. In order to accelerate the search process, the Author...

In this paper, it is investigated how to sequence jobs with fuzzy processing times and predict their due dates on a single machine such that the total weighted possibilistic mean value of the weighted earliness–tardiness costs is minimized. First, an optimal polynomial time algorithm is put forward for the scheduling problem when there are no precedence constraints among jobs. Moreover, it is s...

This paper considers single machine scheduling and due date assignment with setup time. The setup time is proportional to the length of the already processed jobs; that is, the setup time is past-sequence-dependent (p-s-d). It is assumed that a job's processing time depends on its position in a sequence. The objective functions include total earliness, the weighted number of tardy jobs, and the...

This paper addresses the one-machine scheduling problem with earliness-tardiness penalties. We propose a new branch-and-bound algorithm that can solve instances with up to 50 jobs and that can solve problems with even more general non-convex cost functions. The algorithm is based on the combination of a Lagrangean relaxation of resource constraints and new dominance rules.

In this research, Lagrangian relaxation algorithms are proposed for Hybrid Flow-Shop (HFS) scheduling problems. Conventional HFS consists of a series of production stages, each of which has several identical parallel machines and no buffer spaces are considered. Jobs are processed through all stages in the same direction. In the previous researches, they are assumed that the capacity of buffer ...

The single machine scheduling problem with a common due date and nonidentical ready times for the jobs is examined in this work. Performance is measured by the minimization of the weighted sum of earliness and tardiness penalties of the jobs. Since this problem is NP-hard, the application of constructive heuristics that exploit specific characteristics of the problem to improve their performanc...