New algorithms for minimizing the weighted number of tardy jobs on a single machine

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...

Minimizing the Number of Tardy Jobs in the Single Machine Scheduling Problem under Bimodal Flexible and Periodic Availability Constraints

In single machine scheduling problems with availability constraints, machines are not available for one or more periods of time. In this paper, we consider a single machine scheduling problem with flexible and periodic availability constraints. In this problem, the maximum continuous working time for each machine increases in a stepwise manner with two different values allowed. Also, the durati...

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...

Minimizing the Number of Tardy Jobs

Multi-agent scheduling on a single machine to minimize total weighted number of tardy jobs

We consider the feasibility model of multi-agent scheduling on a single machine, where each agent’s objective function is to minimize the total weighted number of tardy jobs. We show that the problem is strongly NP-complete in general. When the number of agents is fixed, we first show that the problem can be solved in pseudo-polynomial time for integral weights, and can be solved in polynomial ...