This paper presents new elimination rules for the Single Machine Problem with general earliness and tardiness penalties subject to release dates. These rules, based on a Lagrangian decomposition, allow to drastically reduce the execution windows of the jobs. We measure the efficiency of these properties by integrating them in a Branch-and-Bound. Tests show that instances with up to 70 jobs with...

We study a scheduling problem with deteriorating jobs, i.e., jobs whose processing times are an increasing function of their start times. We consider the case of a single machine and linear job-independent deterioration. The problem is to determine an optimal combination of the due date and schedule so as to minimize the sum of due-date, earliness and tardiness penalties. We give an O(n logn) t...

The weighted earliness tardiness parallel machine scheduling problem is NP hard. It is herein approximately solved using a decentralized multi-agent system (MAS). MAS acts as a moderator of two types of agents: free jobs, and groups of jobs assigned to machines. MAS yields good solutions’ quality in reduced run times as evidenced by the computational results. Most importantly, it can be easily ...

This paper considers the SLK/DIF due window assignment problems on a single machine with general job-dependent positional effect, where actual processing time of job is subject to and effect. Production schedulers may decide outsource/reject some jobs by paying corresponding costs. Based whether accept tardiness jobs, we consider two different objectives under slack assignment, respectively. Th...

We address the single-machine stochastic scheduling problem with an objective of minimizing total expected earliness and tardiness costs, assuming that processing times follow normal distributions and due dates are decisions. We develop a branch and bound algorithm to find optimal solutions to this problem and report the results of computational experiments. We also test some heuristic procedur...

In this paper we give a survey of the most important results on multicriteria scheduling that have appeared in the literature or are to appear. We provide an extensive introduction including two example problems and then discuss the relevant literature. Here we pay special attention to the area of earliness-tardiness scheduling, scheduling with controllable processing times, simultaneous approx...

The one-machine scheduling problem with sequence-dependent setup times and costs and earliness-tardiness penalties is addressed. This problem is NP-complete, so that local search approaches are very useful to efficiently find good feasible schedules. In this paper, we present an extension of the dynasearch neighborhood for this problem. Finding the best schedule in this neighborhood is shown to...