Minimizing Total Weighted Tardiness with Drop Dead Dates in Single Machine Scheduling Problem

Authors

  • Abalfazl Zareei
  • Ali Khan Nakhjavani
Abstract:

  This paper deals with minimization of tardiness in single machine scheduling problem when each job has two different due-dates i.e. ordinary due-date and drop dead date. The drop dead date is the date in which jobs’ weights rise sharply or the customer cancels the order. A linear programming formulation is developed for the problem and since the problem is known to be NP-hard, three heuristic algorithms are designed for the problem based on Tabu search mechanism. Extensive numerical experiments were conducted to observe and compare the behavior of the algorithms in solving the problem..

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Single .machine Total Weighted Tardiness with Release Dates Single Machine Total Weighted Tardiness with Release Dates

The single machine total weighted tardiness with release dates problem is known to be strongly NP-hard. With a new lower bounding scheme and a new upper bounding scheme, we get an efficient branch and bound algorithm. In the paper, we first introduce the history of the problem and its computational complexity. Second, the lower bounding schemes and the upper bounding schemes are described in de...

full text

Minimizing Total Tardiness in Parallel-Machine Scheduling with Release Dates

The considered problem is the scheduling of a set of N jobs on M identical parallel machines in order to minimize the total tardiness without any preemption or splitting. Each job has its own processing time, release date and due date. All the machines are considered identical (with same speed) and available during all the scheduling period. This problem is NP-hard. An exact resolution, an Ant ...

full text

Minimizing total weighted tardiness on a single machine with release dates and equal-length jobs

In this paper we look at the problem where we have to schedule n jobs with release dates, due dates, weights, and equal processing times on a single machine. The objective is to minimize the sum of weighted tardiness (1|rj , pj = p| ∑ wjTj in the threefield notation scheme). We formulate the problem as a time indexed ILP after which we solve the LP-relaxation. We show that for certain special c...

full text

Dominance rules for the parallel machine total weighted tardiness scheduling problem with release dates

We address the parallel machine total weighted tardiness scheduling problem with release dates. We describe dominance rules and filtering methods for this problem. Most of them are adaptations of dominance rules based on solution methods for the single-machine problem. We show how it is possible to deduce whether or not certain jobs can be processed by a particular machine in a particular conte...

full text

Minimizing Value-at-Risk in the Single-Machine Total Weighted Tardiness Problem

The vast majority of the machine scheduling literature focuses on deterministic problems, in which all data is known with certainty a priori. This may be a reasonable assumption when the variability in the problem parameters is low. However, as variability in the parameters increases incorporating this uncertainty explicitly into a scheduling model is essential to mitigate the resulting adverse...

full text

Minimizing total tardiness in a stochastic single machine scheduling problem using approximate dynamic programming

This paper addresses the non-preemptive single machine scheduling problem to minimize total tardiness. We are interested in the online version of this problem, where orders arrive at the system at random times. Jobs have to be scheduled without knowledge of what jobs will come afterwards. The processing times and the due dates become known when the order is placed. The order release date occurs...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 21  issue 2

pages  89- 95

publication date 2010-05

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023