Algorithms for minimizing the number of tardy jobs for reducing production cost with uncertain processing times

Minimizing the Number of Tardy Jobs with Chance Constraints and Linearly Associated Stochastically Ordered Processing Times

We consider the single-machine sequencing model with stochastic processing times and the problem of minimizing the number of stochastically tardy jobs. In general, this problem is NP-hard. Recently, however, van den Akker and Hoogeveen found some special cases that could be solved in polynomial time. We generalize their findings by providing a polynomial solution for any stochastically ordered ...

Minimizing the number of tardy jobs with stochastically-ordered processing times

We consider the single-machine sequencing model with stochastic processing times and the problem of minimizing the number of stochastically tardy jobs. In general, this problem is NP-hard. Recently, however, van den Akker and Hoogeveen found some special cases that could be solved in polynomial time. We generalize their findings by providing a polynomial time solution for any stochastically ord...

Minimizing the Number of Tardy Jobs

Start Project Y43-mat Combinatorial Approximation Algorithms Minimizing the Number of Tardy Jobs on a Single Machine with Batch Setup times Minimizing the Number of Tardy Jobs on a Single Machine with Batch Setup Times

This paper investigates a single-machine sequencing problem where the jobs are divided into families, and where a setup time is incurred whenever there is a switch from a job in one family to a job in another family. This setup only depends on the family of the job next to come and hence is sequence independent. The jobs are due-dated, and the objective is to nd a sequence of jobs that minimize...

New Algorithms for Minimizing the Weighted Number of Tardy Jobs On a Single Machine

In this paper we study the classical single machine scheduling problem where the objective is to minimize the weighted number of tardy jobs. Our analysis focuses on the case where one or more of three natural parameters is either constant or is taken as a parameter in the sense of parameterized complexity. These three parameters are the number of different due dates, processing times, and weigh...