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A Max-Plus Algebra Approach to Study Time Disturbance Propagation within a Robustness Improvement Context
Joint Authors
Martínez-Olvera, César
Mora-Vargas, Jaime
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-20
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Industry 4.0 aims to ensure the future competitiveness of the manufacturing industry, where one of the major challenges faced by its implementation is the manufacturing/production system robustness (that is, able to perform in the presence of noise), as they may not be able to absorb input disruptions without bending or breaking.
In this paper we propose to use the Max-Plus algebra approach to study the propagation of manufacturing disturbances (i.e., processing time variations), presenting a case study and performing a sensitivity analysis, with the idea of understanding under which conditions disturbance propagation takes place.
Findings show that the impact propagation depends on where the variation source is located within the manufacturing system.
Two are the main original contributions of this paper: the use of Max-Plus algebra to study the impact propagation of processing time variations and a four-step methodology to derive the equations representing the deterministic manufacturing system.
American Psychological Association (APA)
Martínez-Olvera, César& Mora-Vargas, Jaime. 2018. A Max-Plus Algebra Approach to Study Time Disturbance Propagation within a Robustness Improvement Context. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1205943
Modern Language Association (MLA)
Martínez-Olvera, César& Mora-Vargas, Jaime. A Max-Plus Algebra Approach to Study Time Disturbance Propagation within a Robustness Improvement Context. Mathematical Problems in Engineering No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1205943
American Medical Association (AMA)
Martínez-Olvera, César& Mora-Vargas, Jaime. A Max-Plus Algebra Approach to Study Time Disturbance Propagation within a Robustness Improvement Context. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1205943
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1205943