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A dynamic control approach for energy-efficient production scheduling on a single machine under time-varying electricity pricing

Journal Article · · Journal of Cleaner Production
 [1];  [2];  [3];  [2]
  1. Univ. of Miami, Coral Gables, FL (United States); Louisiana State University
  2. Yonsei Univ., Seoul (Korea, Republic of)
  3. Louisiana State Univ., Baton Rouge, LA (United States)

This paper proposes a dynamic control algorithm to enable an energy-aware single machine scheduling under the time-varying electricity pricing policy, in which price rates remain fixed day-to-day over the season. The key issue is to assign a set of jobs to available time periods where different electricity prices are assigned, while considering requested due dates of jobs so as to minimize total penalty costs for earliness and tardiness of jobs and total energy consumption costs, simultaneously. As the first contribution of this study, we develop a new mixed integer nonlinear programming (MINLP) model that aims at determining job arrival times and resulting earliness and tardiness of jobs and energy consumption costs for machine idle and normal processing. Second, an efficient heuristic approach based on continuous-time variable control models and algorithm is developed. The proposed heuristic adaptively changes job arrival times and due dates, which finally determine production sequence over the time periods of different electricity prices, machine turn-off, and machine idle with minimum energy consumption costs and just-in-time (JIT) penalty. Energy and JIT performance of the proposed approach is examined using real energy and machining parameters of a HAAS machine and compared to those of the metaheuristic approach. For relatively large size data groups, the proposed approach incurs about higher energy consumption costs on average, which are offset by up to lower JIT costs, resulting in lower total costs on average compared to the metaheuristic approach. Further, the proposed time-scaled heuristic algorithm yields extremely short computational time, which enables production managers to flexibly select proper production strategies and to implement them for different production environments.

Research Organization:
Louisiana State Univ., Baton Rouge, LA (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
Grant/Contract Number:
EE0007709
OSTI ID:
1994151
Journal Information:
Journal of Cleaner Production, Journal Name: Journal of Cleaner Production Vol. 165; ISSN 0959-6526
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

Scheduling on a single machine under time-of-use electricity tariffs journal September 2015
Resource-constrained critical path analysis based on discrete event simulation and particle swarm optimization journal August 2008
Optimizing the production scheduling of a single machine to minimize total energy consumption costs journal March 2014
A generic method for energy-efficient and energy-cost-effective production at the unit process level journal February 2016
Measuring variability on electrical power demands in manufacturing operations journal November 2016
An efficient greedy insertion heuristic for energy-conscious single machine scheduling problem under time-of-use electricity tariffs journal August 2016
Bi-objective optimization of a single machine batch scheduling problem with energy cost consideration journal November 2016
Energy-efficient scheduling for a flexible flow shop using an improved genetic-simulated annealing algorithm journal October 2013
Operational methods for minimization of energy consumption of manufacturing equipment journal September 2007
Energy-aware feedback control for production scheduling and capacity control journal September 2015
Performance of real-time distributed arrival time control in heterarchical manufacturing systems journal April 2000
A framework to minimise total energy consumption and total tardiness on a single machine journal June 2008
Nonlinear dynamics in distributed arrival time control of heterarchical manufacturing systems journal January 1999
Energy-Efficient Production Systems Through Schedule-Based Operations journal January 2013
Single-Machine Sustainable Production Planning to Minimize Total Energy Consumption and Total Completion Time Using a Multiple Objective Genetic Algorithm journal November 2012
Sequencing with Earliness and Tardiness Penalties: A Review journal February 1990

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