A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems

For an automated manufacturing system (AMS), it is a computationally intractable problem to find a maximally permissive deadlock avoidance policy (DAP) in a general case, since the decision on the safety of a reachable state is NP-hard. This paper focuses on the deadlock avoidance problem for system...

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Main Authors: Chao Gu, Zhiwu Li, Abdulrahman Al-Ahmari
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/8687035
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author Chao Gu
Zhiwu Li
Abdulrahman Al-Ahmari
author_facet Chao Gu
Zhiwu Li
Abdulrahman Al-Ahmari
author_sort Chao Gu
collection DOAJ
description For an automated manufacturing system (AMS), it is a computationally intractable problem to find a maximally permissive deadlock avoidance policy (DAP) in a general case, since the decision on the safety of a reachable state is NP-hard. This paper focuses on the deadlock avoidance problem for systems of simple sequential processes with resources (S3PR) by using Petri nets structural analysis theory. Inspired by the one-step look-ahead DAP that is an established result, which is of polynomial complexity, for an S3PR without one-unit-capacity resources shared by two or more resource-transition circuits (in the Petri net model) that do not include each other, this research explores a multiple-step look-ahead deadlock avoidance policy for a system modeled with an S3PR that contains a shared one-unit-capacity resource in resource-transition circuits. It is shown that the development of an optimal DAP for the considered class of Petri nets is also of polynomial complexity. It is indicated that the steps needed to look ahead in a DAP depend on the structure of the net model. A number of examples are used to illustrate the proposed method.
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spelling doaj-art-0a8005156afe45faba5d8321eb3cc9a32025-02-03T05:58:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/86870358687035A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing SystemsChao Gu0Zhiwu Li1Abdulrahman Al-Ahmari2School of Electro-Mechanical Engineering, Xidian University, Xi’an 710071, ChinaSchool of Electro-Mechanical Engineering, Xidian University, Xi’an 710071, ChinaAdvanced Manufacturing Institute, King Saud University, Riyadh 11421, Saudi ArabiaFor an automated manufacturing system (AMS), it is a computationally intractable problem to find a maximally permissive deadlock avoidance policy (DAP) in a general case, since the decision on the safety of a reachable state is NP-hard. This paper focuses on the deadlock avoidance problem for systems of simple sequential processes with resources (S3PR) by using Petri nets structural analysis theory. Inspired by the one-step look-ahead DAP that is an established result, which is of polynomial complexity, for an S3PR without one-unit-capacity resources shared by two or more resource-transition circuits (in the Petri net model) that do not include each other, this research explores a multiple-step look-ahead deadlock avoidance policy for a system modeled with an S3PR that contains a shared one-unit-capacity resource in resource-transition circuits. It is shown that the development of an optimal DAP for the considered class of Petri nets is also of polynomial complexity. It is indicated that the steps needed to look ahead in a DAP depend on the structure of the net model. A number of examples are used to illustrate the proposed method.http://dx.doi.org/10.1155/2017/8687035
spellingShingle Chao Gu
Zhiwu Li
Abdulrahman Al-Ahmari
A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems
Discrete Dynamics in Nature and Society
title A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems
title_full A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems
title_fullStr A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems
title_full_unstemmed A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems
title_short A Multistep Look-Ahead Deadlock Avoidance Policy for Automated Manufacturing Systems
title_sort multistep look ahead deadlock avoidance policy for automated manufacturing systems
url http://dx.doi.org/10.1155/2017/8687035
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