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Energy efficiency, robustness, and makespan optimality in job-shop scheduling problems

Published online by Cambridge University Press:  09 June 2015

Miguel A. Salido*
Affiliation:
Instituto de Automática e Informática Industrial, Universitat Politecnica de Valencia, Spain
Joan Escamilla
Affiliation:
Instituto de Automática e Informática Industrial, Universitat Politecnica de Valencia, Spain
Federico Barber
Affiliation:
Instituto de Automática e Informática Industrial, Universitat Politecnica de Valencia, Spain
Adriana Giret
Affiliation:
Instituto de Automática e Informática Industrial, Universitat Politecnica de Valencia, Spain
Dunbing Tang
Affiliation:
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, China
Min Dai
Affiliation:
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, China
*
Reprint requests to: Miguel A. Salido, Instituto de Automática e Informática Industrial, Universitat Politecnica de Valencia, Camino de Vera s/n, Valencia 46071, Spain. E-mail: msalido@dsic.upv.es

Abstract

Many real-world problems are known as planning and scheduling problems, where resources must be allocated so as to optimize overall performance objectives. The traditional scheduling models consider performance indicators such as processing time, cost, and quality as optimization objectives. However, most of them do not take into account energy consumption and robustness. We focus our attention in a job-shop scheduling problem where machines can work at different speeds. It represents an extension of the classical job-shop scheduling problem, where each operation has to be executed by one machine and this machine can work at different speeds. The main goal of the paper is focused on the analysis of three important objectives (energy efficiency, robustness, and makespan) and the relationship among them. We present some analytical formulas to estimate the ratio/relationship between these parameters. It can be observed that there exists a clear relationship between robustness and energy efficiency and a clear trade-off between robustness/energy efficiency and makespan. It represents an advance in the state of the art of production scheduling, so obtaining energy-efficient solutions also supposes obtaining robust solutions, and vice versa.

Type
Regular Articles
Copyright
Copyright © Cambridge University Press 2015 

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