Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems

With the development of industrial manufacture in the context of Industry 4.0, various advanced technologies have been designed, such as reconfigurable machine tools (RMT). However, the potential of the latter still needs to be developed. In this paper, the integration of RMTs was investigated in th...

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Main Authors: Ping Liu, Qiang Zhang, Jürgen Pannek
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/11/2249
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author Ping Liu
Qiang Zhang
Jürgen Pannek
author_facet Ping Liu
Qiang Zhang
Jürgen Pannek
author_sort Ping Liu
collection DOAJ
description With the development of industrial manufacture in the context of Industry 4.0, various advanced technologies have been designed, such as reconfigurable machine tools (RMT). However, the potential of the latter still needs to be developed. In this paper, the integration of RMTs was investigated in the capacity adjustment of job shop manufacturing systems, which offer high flexibility to produce a variety of products with small lot sizes. In order to assist manufacturers in dealing with demand fluctuations and ensure the work-in-process (WIP) of each workstation is on a predefined level, an operator-based robust right coprime factorization (RRCF) approach is proposed to improve the capacity adjustment process. Moreover, numerical simulation results of a four-workstation three-product job shop system are presented, where the classical proportional−integral−derivative (PID) control method is considered as a benchmark to evaluate the effectiveness of RRCF in the simulation. The simulation results present the practical stability and robustness of these two control systems for various reconfiguration and transportation delays and disturbances. This indicates that the proposed capacity control approach by integrating RMTs with RRCF is effective in dealing with bottlenecks and volatile customer demands.
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spelling doaj.art-17138fa638cd4483ba6be61c4ae01c0e2022-12-21T23:18:59ZengMDPI AGApplied Sciences2076-34172019-05-01911224910.3390/app9112249app9112249Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing SystemsPing Liu0Qiang Zhang1Jürgen Pannek2International Graduate School for Dynamics in Logistics, Faculty of Production Engineering, University of Bremen, 28359 Bremen, GermanyInternational Graduate School for Dynamics in Logistics, Faculty of Production Engineering, University of Bremen, 28359 Bremen, GermanyBIBA Bremer Institut für Produktion und Logistik GmbH, Faculty of Production Engineering, University of Bremen, 28359 Bremen, GermanyWith the development of industrial manufacture in the context of Industry 4.0, various advanced technologies have been designed, such as reconfigurable machine tools (RMT). However, the potential of the latter still needs to be developed. In this paper, the integration of RMTs was investigated in the capacity adjustment of job shop manufacturing systems, which offer high flexibility to produce a variety of products with small lot sizes. In order to assist manufacturers in dealing with demand fluctuations and ensure the work-in-process (WIP) of each workstation is on a predefined level, an operator-based robust right coprime factorization (RRCF) approach is proposed to improve the capacity adjustment process. Moreover, numerical simulation results of a four-workstation three-product job shop system are presented, where the classical proportional−integral−derivative (PID) control method is considered as a benchmark to evaluate the effectiveness of RRCF in the simulation. The simulation results present the practical stability and robustness of these two control systems for various reconfiguration and transportation delays and disturbances. This indicates that the proposed capacity control approach by integrating RMTs with RRCF is effective in dealing with bottlenecks and volatile customer demands.https://www.mdpi.com/2076-3417/9/11/2249capacity controljob shop systemsRMTsoperator theory
spellingShingle Ping Liu
Qiang Zhang
Jürgen Pannek
Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems
Applied Sciences
capacity control
job shop systems
RMTs
operator theory
title Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems
title_full Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems
title_fullStr Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems
title_full_unstemmed Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems
title_short Development of Operator Theory in the Capacity Adjustment of Job Shop Manufacturing Systems
title_sort development of operator theory in the capacity adjustment of job shop manufacturing systems
topic capacity control
job shop systems
RMTs
operator theory
url https://www.mdpi.com/2076-3417/9/11/2249
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