In the last few years, multi-processor scheduling with interprocessor communication delays has received increasing attention. This is due to the more realistic constraints in modeling parallel processor systems. Most research in this vein is concerned with the makespan criterion. We contribute to this work by presenting a new and simple (2 1 m )-approximation algorithm for scheduling to minimiz...

Due to various factors of uncertainty within production, the key performance indicators connected to production plans are difficult to fulfil. This problem becomes especially serious as emission regulations are enforced, which discourage manufacturers from high emission output and high energy consumption. Thus, this paper proposes a feedback control method for the production scheduling problem ...

A frequently occurring operational problem is one of processing a given number of jobs (commodities) on a specified number of machines (facilities) referred to by various investigators as scheduling, dispatching, sequencing, or combinations thereof (Gupta and Stafford, 2006). In most manufacturing environments, a set of processes is needed to be serially performed in several stages before a job...

We consider the problem of scheduling independent jobs on a constant number of machines. We illustrate two important approaches for obtaining polynomial time approximation schemes for two different variants of the problem, more precisely the multiprocessor-job and the unrelated-machines models, and two different optimization criteria: the makespan and the sum of weigthed completion times. In th...

The scale of data in a MapReduce system is increasing quickly. Thus how to efficiently schedule a set of production jobs has become increasingly important. For a given set of jobs, a well-designed scheduling algorithm can significantly reduce makespan and increase the utilization of clusters. However, there exists very few studies that aim to construct a scheduler that minimizes the makespan of...

We consider the scheduling problems F2 j jCmax and F2 j no-wait jCmax, i.e. makespan minimization in a two machine ow shop, with and without no wait in process. For both problems solution algorithms based on sorting with O(n logn) running time are known, where n denotes the number of jobs [Johnson 1954, Gilmore & Gomory 1964]. We prove that no asymptotically faster algorithms can solve these pr...

The permutation flow shop scheduling problem (PFSP) is one of the most well known and well studied production scheduling problems with strong industrial background. Most scheduling problems are combinatorial optimization problems which are too difficult to be solved optimally, and hence heuristics are used to obtain good solutions in a reasonable time. The specific goal of this paper is to inve...

We consider data analytics workloads on distributed architectures, in particular clusters of commodity machines. To find a job partitioning that minimizes running time, a cost model, which we more accurately refer to as makespan model, is needed. In attempting to find the simplest possible, but sufficiently accurate, such model, we explore piecewise linear functions of input, output, and comput...

Theoretical results about Johnson s problem with stochastic processing times are few. In general, just finding the expected makespan of a given sequence is already difficult, even for discrete processing time distributions. Furthermore, to obtain optimal service level we need to compute the entire distribution of the makespan. Therefore the use of heuristics and simulation is justified. We show...

For a scheduling problem on parallel machines, the power of preemption is defined as the ratio of the makespan of an optimal non-preemptive schedule over the makespan of an optimal preemptive schedule. For m uniform parallel machines, we give the necessary and sufficient conditions under which the global bound of 2 − 1/m is tight. If the makespan of the optimal preemptive schedule is defined by...