2017
DOI: 10.1109/tac.2017.2677859
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A Necessary and Sufficient Condition for a Resource Subset to Generate a Strict Minimal Siphon in S 4PR

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Cited by 98 publications
(42 citation statements)
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“…Traditional Petri nets are popularly used to model, simulate, control, and analyze automated manufacturing systems (AMSs). Existing traditional Petri net studies assumed one or more of the following: (1) the system configuration is recognized and does not change throughout the operation, (2) there is no addition of new machines and no removal of old machines, and machine failures are not addressed, (3) rework is not required, and (4) products to be manufactured are identified, their process routes are specified, and the addition of new products is not applicable [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. This means that traditional Petri net models do not undergo dynamic configurations, such as processing failures and rework, machine breakdowns, addition of new machines, addition of new products, removal of old machines, or change processing routes induced by the competitive global market.…”
Section: Definition Of Intelligent Colored Token Petri Netsmentioning
confidence: 99%
“…Traditional Petri nets are popularly used to model, simulate, control, and analyze automated manufacturing systems (AMSs). Existing traditional Petri net studies assumed one or more of the following: (1) the system configuration is recognized and does not change throughout the operation, (2) there is no addition of new machines and no removal of old machines, and machine failures are not addressed, (3) rework is not required, and (4) products to be manufactured are identified, their process routes are specified, and the addition of new products is not applicable [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. This means that traditional Petri net models do not undergo dynamic configurations, such as processing failures and rework, machine breakdowns, addition of new machines, addition of new products, removal of old machines, or change processing routes induced by the competitive global market.…”
Section: Definition Of Intelligent Colored Token Petri Netsmentioning
confidence: 99%
“…A scoring system deployed the control node, based on migration overhead and the energy reduction, and is further developed to decide the optimal consolidation plan from all candidate ones. Wang et al (2017) discussed the underlying problem of deciding necessary and sufficient Condition for effective resource mapping. Beloglazov et al (2011Beloglazov et al ( , 2013 proposed heuristic-based and statistical-measure-based approaches to dynamically decide threshold values to trigger consolidation activities.…”
Section: Related Workmentioning
confidence: 99%
“…We intend to work on the following topics as our future research: (1) more, for example, throughput, mobility, and consolidation overhead should be considered; (2) Petri nets [19][20][21][22] can be used as an alternative model formalism to facilitate structural reduction techniques and reduce computational complexity; (3) dynamic VM-PM-mapping strategies should be considered and modeled instead of static ones assumed in this article where PMs are equally likely to host incoming VM instances. According to a dynamic mapping strategy, the cloud management unit decides the mapping plan based on the utilization and working status of each PM at run time.…”
Section: Conclusion and Further Studiesmentioning
confidence: 99%