Reliability - Redundancy Allocation in Process Graphs

Process graphs (P-graphs) have been proven to be useful in identifying optimal structures of process systems and business processes. The provision of redundant critical units can significantly reduce operational risk. Redundant units and subsystems can be modelled in P-graphs by adding nodes that re...

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Main Authors: Zoltan Sule, Janos Baumgartner, Janos Abonyi
Format: Article
Language:English
Published: AIDIC Servizi S.r.l. 2018-08-01
Series:Chemical Engineering Transactions
Online Access:https://www.cetjournal.it/index.php/cet/article/view/596
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author Zoltan Sule
Janos Baumgartner
Janos Abonyi
author_facet Zoltan Sule
Janos Baumgartner
Janos Abonyi
author_sort Zoltan Sule
collection DOAJ
description Process graphs (P-graphs) have been proven to be useful in identifying optimal structures of process systems and business processes. The provision of redundant critical units can significantly reduce operational risk. Redundant units and subsystems can be modelled in P-graphs by adding nodes that represent logical conditions of the operation of the units. It is revealed in this paper that P-graphs extended by logical condition units can be transformed into reliability block diagrams and based on the cut sets and path sets of the graph a polynomial risk model can be extracted. Since the exponents of the polynomial represent the number of redundant units, the cost function of the reliability – redundancy allocation problem as a nonlinear integer programming model can be formalised, where the cost function handles the costs associated with consequences of equipment failure and repair times. The applicability of this approach is illustrated in a case study related to the asset-intensive chemical, oil, gas and energy sector. The results show that the proposed algorithm is useful for risk-based priority resource allocation in a reforming reaction system.
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spelling doaj.art-c54ba36f4df94a268978efbd63a935882022-12-21T20:18:07ZengAIDIC Servizi S.r.l.Chemical Engineering Transactions2283-92162018-08-017010.3303/CET1870166Reliability - Redundancy Allocation in Process GraphsZoltan SuleJanos BaumgartnerJanos AbonyiProcess graphs (P-graphs) have been proven to be useful in identifying optimal structures of process systems and business processes. The provision of redundant critical units can significantly reduce operational risk. Redundant units and subsystems can be modelled in P-graphs by adding nodes that represent logical conditions of the operation of the units. It is revealed in this paper that P-graphs extended by logical condition units can be transformed into reliability block diagrams and based on the cut sets and path sets of the graph a polynomial risk model can be extracted. Since the exponents of the polynomial represent the number of redundant units, the cost function of the reliability – redundancy allocation problem as a nonlinear integer programming model can be formalised, where the cost function handles the costs associated with consequences of equipment failure and repair times. The applicability of this approach is illustrated in a case study related to the asset-intensive chemical, oil, gas and energy sector. The results show that the proposed algorithm is useful for risk-based priority resource allocation in a reforming reaction system.https://www.cetjournal.it/index.php/cet/article/view/596
spellingShingle Zoltan Sule
Janos Baumgartner
Janos Abonyi
Reliability - Redundancy Allocation in Process Graphs
Chemical Engineering Transactions
title Reliability - Redundancy Allocation in Process Graphs
title_full Reliability - Redundancy Allocation in Process Graphs
title_fullStr Reliability - Redundancy Allocation in Process Graphs
title_full_unstemmed Reliability - Redundancy Allocation in Process Graphs
title_short Reliability - Redundancy Allocation in Process Graphs
title_sort reliability redundancy allocation in process graphs
url https://www.cetjournal.it/index.php/cet/article/view/596
work_keys_str_mv AT zoltansule reliabilityredundancyallocationinprocessgraphs
AT janosbaumgartner reliabilityredundancyallocationinprocessgraphs
AT janosabonyi reliabilityredundancyallocationinprocessgraphs