In this paper we present the Preemptive Minimize Maximum Lateness algorithm, an optimal parallel algorithm that schedules jobs for execution on a single processor machine with preemption. Each job is described by a release time, a deadline and a processing time. A job is considered late if it does not complete by its deadline and its lateness is defined as the difference between its completion ...

In this paper, we analyze approximation algorithms for two types of scheduling problems. The first is the n jobs scheduling problem with due dates on m identical machines to minimize the maximum lateness. For this problem n/m/I/Lmax, we propose two approximation algorithms and derive their worst case bounds. The second is the 2 x n flow shop scheduling problem with due dates to minimize the max...

Despite existing various integer programming for sequencing problems, there is not enoughinformation about practical values of the models. This paper considers the problem of minimizing maximumlateness with release dates and presents four different mixed integer programming (MIP) models to solve thisproblem. These models have been formulated for the classical single machine problem, namely sequ...