The Brucker-Garey-Johnson algorithm and Hu’s algorithm are based on the idea of the critical path method and were developed for the model with unit execution time tasks, precedence constraints and parallel identical processors. The performance guarantees for these algorithms have been presented in Singh and Zinder (2000a, 2000b). We present upper bounds for the Brucker-Garey-Johnson algorithm ...

This paper is concerned with the problem of scheduling preemptive tasks subject to precedence constraints in order to minimize the maximum lateness and the makespan. The number of available parallel processors is allowed to vary in time. It is shown that when an Earliest Due Date rst algorithm provides an optimal nonpreemptive schedule for unit-execution-time (UET) tasks, then the preemptive pr...

This paper studies the two-machine flowshop scheduling problem with class setups in a no-wait processing environment to minimize the maximum lateness. The jobs are divided into job classes and a setup is required at the initial processing of a job or between the processing of jobs of different classes. In a no-wait environment, a job must be processed from start to finish without interruptions ...

Due to the influence of unpredictable random events, the processing time of each operation should be treated as random variables if we aim at a robust production schedule. However, compared with the extensive research on the deterministic model, the stochastic job shop scheduling problem (SJSSP) has not received sufficient attention. In this paper, we propose an artificial bee colony (ABC) algo...

Energy-aware task scheduling is critical for real-time embedded systems. Although dynamic power has traditionally been a primary source of processor power consumption, leakage power is becoming increasingly important. In this paper, we present two optimal energy-aware polynomial-time algorithms for scheduling a set of tasks with release times, deadlines and precedence constraints on a single pr...

This paper considers two scheduling problems for a two-machine flowshop where a single machine is followed by a batching machine. The first problem is that there is a transporter to carry the jobs between machines. The second problem is that there are deteriorating jobs to be processed on the single machine. For the first problem with minimizing the makespan, we formulate it as a mixed integer ...

The critical path method remains one of the most popular approaches in practical scheduling. Being developed for the makespan problem this method can also be generalized to the maximum lateness problem. For the unit execution time task system and parallel processors this generalization is known as the Brucker±Garey±Johnson algorithm. We characterize this algorithm by introducing an upper bound ...

In this paper we experimentally evaluate the performance of a parametrized branch-and-bound (B&B) algorithm for scheduling real-time tasks on a multiprocessor system. The objective of the B&B algorithm is to minimize the maximum task lateness in the system. We show that a last-in-first-out (LIFO) vertex selection rule clearly outperforms the commonly used least-lower-bound (LLB) rule for the sc...

In this paper we consider the parallel machine scheduling problem of minimizing an objective function of the minmax type, like maximum lateness, subject to release dates, deadlines, and/or generalized precedence constraints. We use a destructive strategy to compute a lower bound. Here we test the feasibility of a decision problem by applying column generation to compute a bound on the number of...

Real-time systems cover a wide application domain. This paper presents an efficient heuristic algorithm for enforcing the schedulability of aperiodic hard real-time tasks arriving simultaneously with precedence constraints and individual deadlines. The proposed co-synthesis algorithm integrates partitioning and nonpreemptive scheduling. Reconfigurable FPGAs are incrementally added when schedula...