A First-Order Hybrid Petri Net Model for Supply Chain Management

Dotoli, Mariagrazia; Fanti, Maria Pia; Iacobellis, Giorgio; Mangini, Agostino Marcello

doi:10.1109/tase.2009.2021362

Cited by 48 publications

(23 citation statements)

References 15 publications

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“…The FOHPN formalism was first presented by Balduzzi et al 21 The formalism presented in this paper is based on the review of the above-mentioned paper along with the following two papers: Dotoli et al 15 and Giua et al 22 …”

Section: Fohpn Theorymentioning

confidence: 99%

Modeling and performance analysis of a closed-loop supply chain using first-order hybrid Petri nets

Outmal

Kamrani

Nasr

et al. 2016

Advances in Mechanical Engineering

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Green or closed-loop supply chain had been the focus of many manufacturers during the last decade. The application of closed-loop supply chain in today's manufacturing is not only due to growing environmental concerns and the recognition of its benefits in reducing greenhouse gas emissions, energy consumption, and meeting a more strict environmental regulations but it also offers economic competitive advantages if appropriately managed. First-order hybrid Petri nets represent a powerful graphical and mathematical formalism to map and analyze the dynamics of complex systems such as closed-loop supply chain networks. This article aims at illustrating the use of first-order hybrid Petri nets to model a closed-loop supply chain network and evaluate its operational, financial, and environmental performance measures under different management policies. Actual data from auto manufacturer in the United States are used to validate network's performance under both tactical and strategic decision-making, namely, (1) tactical decision-production policies: increase of recovered versus new components and (2) strategic decision-closed-loop supply chain network structure: manufacturer internal recovery process or recovery process done by a third-party collection and recovery center. The work presented in this article is an extension of the use of first-order hybrid Petri nets as a modeling and performance analysis tool from supply chain to closed-loop supply chain. The modularity property of first-order hybrid Petri nets has been used in the modeling process, and the simulation and analysis of the modeled network are done in MATLAB Ò environment. The results of the experiments depict that first-order hybrid Petri nets are a powerful modeling and analysis formalism for closed-loop supply chain networks and can be further used as an efficient decision-making tool at both tactical and strategic levels. Unlike other researches on modeling supply chain networks that focus on evaluating individually cost, operational, or environmental aspects, the research here shows how first-order hybrid Petri nets can be extended to assess simultaneously operational, financial, and environmental network's performance measures at different managerial decision-making levels. The results particularly are compelling for researchers and industrial practitioners who can use the same methodology in evaluating their network's performance and making educated management decisions based on the performance results and the impact of their selected supply chain and manufacturing strategies.

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Section: Fohpn Theorymentioning

confidence: 99%

Modeling and performance analysis of a closed-loop supply chain using first-order hybrid Petri nets

Outmal

Kamrani

Nasr

et al. 2016

Advances in Mechanical Engineering

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show abstract

“…We describe an example of SC whose target product is a desktop computer system (Dotoli et al, 2008), inspired from a case study reported in (Dotoli et al, 2006;Luo et al, 2001). Figure 1 depicts the SC network, comprising three suppliers, two manufacturers, one distributor, two retailers and one de-manufacturer.…”

Section: An Example Of Scmentioning

confidence: 99%

“…Based on the idea of the bottom-up approach (Zhou & Venkatesh, 1998), this section reviews a modular FOHPN model to describe a SC previously proposed by the authors (Dotoli et al, 2008). Such a method can be summarized in two steps: decomposition and composition.…”

Section: The Sc Modelmentioning

confidence: 99%

“…Hence, the state of the SC model at the beginning of each macro-period is a vector x( k ) that includes the following sub-vectors: -the sub-vector m c ( k ), collecting the markings of the continuous places, i.e., the buffer places and the associated capacity places (absent for infinite capacity buffers); -the sub-vector m d ( k ), collecting the markings of the discrete places, i.e., the places modeling choices, constraints and the operative states of entities; -the timers vector ν( k ), collecting the values of the timers of discrete timed transitions, i.e., -the transitions associated to customer demands or transporters and the transitions modeling -the blockings of supplies or transports due to unpredictable or external events. The following FOHPN modules model the individual subsystems composing the SC (Dotoli et al, 2008). …”

Section: The Sc Modelmentioning

confidence: 99%

“…In this context, First Order Hybrid Petri Nets (FOHPNs) (Balduzzi et al, 2000) are an emerging formalism. This chapter focuses on SC operational management: we employ a FOHPN model recently proposed by the authors (Dotoli et al, 2008) and implement and compare two standard operational management strategies. The model is built by a modular approach based on the bottom-up methodology (Zhou & Venkatesh, 1998): manufacturers are described by continuous transitions, buffers are continuous places and products are continuous flows routing from manufacturers, buffers and transporters.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Operational Management of Supply Chains: A Hybrid Petri Net Approach

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Mangini³

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Constructing an abstract model for ladder diagram diagnosis using Petri nets

Tsai

Teng

2010

Asian Journal of Control

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This paper proposes a method for constructing an abstract model for analyzing and diagnosing electrical circuit ladder diagrams (LDs) using Petri nets, and also supporting network-based monitoring and supervision. This approach converts normal open (NO) and normal close (NC) contacts in the LD into Petri net transitions, and converts devices (e.g. relay coils) in the LD into Petri net places. This study introduces the concepts of composite transitions, composite places, and relevant state to reduce complexity and increase readability of Petri nets for constructing abstract models. The current study constructing diagnosis of fault modeling, introduces simple matrix manipulation and the difference output vector (DOV) to determine the faulty area for diagnosis in the ladder diagram. An LD controller example demonstrates the usable approach.

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A First-Order Hybrid Petri Net Model for Supply Chain Management

Cited by 48 publications

References 15 publications

Modeling and performance analysis of a closed-loop supply chain using first-order hybrid Petri nets

Modeling and performance analysis of a closed-loop supply chain using first-order hybrid Petri nets

Operational Management of Supply Chains: A Hybrid Petri Net Approach

Constructing an abstract model for ladder diagram diagnosis using Petri nets

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