Lagrangian relaxation approach for solving optimal firing sequence problems by decomposition of timed Petri Nets

Tatsushi Nishi, Kenichi Shimatani, Masahiro Inuiguchi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we propose a Lagrangian decomposition and coordination method for solving scheduling problems by the decomposition of timed Petri Nets. The timed Petri Net is decomposed into several subnets so that the subproblem for each subnet can be easily solved. The state space analysis is utilized to determine the decomposition strategy for timed Petri Nets. The Lagrangian decomposition and coordination technique is developed to evaluate the optimality of solution. The proposed method is applied to AGV routing problems and flowshop scheduling problems. The effectiveness of the proposed method is demonstrated by comparing the performance with the conventional method.

Original languageEnglish
Title of host publicationProceedings of SICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology
Pages1585-1590
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
EventSICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology - Tokyo, Japan
Duration: Aug 20 2008Aug 22 2008

Publication series

NameProceedings of the SICE Annual Conference

Other

OtherSICE Annual Conference 2008 - International Conference on Instrumentation, Control and Information Technology
CountryJapan
CityTokyo
Period8/20/088/22/08

Keywords

  • Computational complexity
  • Decomposition
  • Petri Nets
  • Transition firing sequence problem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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