Block Diagram-Based Modeling of Manufacturing Systems Using Max-Plus Algebra

被引：0

作者：

Imaev, Aleksey ^{[1
]}

Judd, Robert P. ^{[2
]}

机构：

[1] Ohio Univ, Sch Elect Engn & Comp Sci, Athens, OH 45701 USA

[2] Ohio Univ, Chair Ind & Manufacturing Syst, Cooper Ind Prof, Athens, OH 45701 USA

来源：

2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年

关键词：

TIMED EVENT-GRAPHS; SHOP SYSTEMS; OPTIMIZATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A novel approach to modeling of manufacturing systems is proposed. The model is based on block diagrams. The block can be a single machine, a single part or a factory. The interconnection of blocks in the block diagram correspond to routing of parts and resources through the manufacturing subsystems. The model is hierarchial - a network of blocks can be combined into one block that has the same input/output structure. The model is described using max-plus algebra, which provides means for calculating system's performance characteristics.

引用

页码：4711 / +

页数：2

共 50 条

[41] A note on the characteristic equation in the max-plus algebra
De Schutter, B
De Moor, B
LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 261 : 237 - 250
[42] Linear matrix period in max-plus algebra
Gavalec, M
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 307 (1-3) : 167 - 182
[43] Automation of block assignment planning using a diagram-based scenario modeling method
Hwang, In Hyuck
Kim, Youngmin
Lee, Dong Kun
Shin, Jong Gye
INTERNATIONAL JOURNAL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING, 2014, 6 (01) : 162 - 174
[44] Bus schedule modelling in Bandung, Indonesia, using max-plus algebra
Sugiarto, I.
Permana, F. J.
Yosep, A.
INTERNATIONAL CONFERENCE ON INNOVATION IN ENGINEERING AND VOCATIONAL EDUCATION 2019 (ICIEVE 2019), PTS 1-4, 2020, 830
[45] Towards Geometric Control of Max-Plus Linear Systems with Applications to Manufacturing Systems
Hardouin, Laurent
Lhommeau, Mehdi
Shang, Ying
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 1149 - 1154
[46] A cryptographic algorithm using wavelet transforms over max-plus algebra
Subiono, Joko
Cahyono, Joko
Adzkiya, Dieky
Davvaz, Bijan
JOURNAL OF KING SAUD UNIVERSITY-COMPUTER AND INFORMATION SCIENCES, 2020, 34 (03) : 627 - 635
[47] Forecast of Train Delay Propagation Based on Max-Plus Algebra Theory
Ma, Hui
Qin, Yong
Han, Guoxing
Jia, Limin
Zhu, Tao
PROCEEDINGS OF THE 2015 CHINESE INTELLIGENT SYSTEMS CONFERENCE, VOL 1, 2016, 359 : 661 - 672
[48] A uniform synchronization problem over max-plus algebra
Datti, AbdulKadir
Aminu, Abdulhadi
AFRIKA MATEMATIKA, 2021, 32 (3-4) : 567 - 576
[49] Computing an eigenvector of a Monge matrix in max-plus algebra
Gavalec, Martin
Plavka, Jan
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2006, 63 (03) : 543 - 551
[50] Ordered Structures of Polynomials over Max-Plus Algebra
Wang, Cailu
Xia, Yuanqing
Tao, Yuegang
SYMMETRY-BASEL, 2021, 13 (07):

← 1 2 3 4 5 →