2026-09-20T00:41:51Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/50715 2023-07-11 col_2142_5131 col_2142_16359 com_2142_5130 com_2142_16358 com_2142_234

Sreenivas, Ramavarapu S. Deverakonda, Vijayalakshmi 2014-09-16T17:25:36Z 2014-09-16T17:25:36Z 2014-08 2014-09-16 2014-08 A Petri net (PN) is said to be live if it is possible to re any transition, although not immediately, from every reachable marking. A liveness enforcing supervisory policy (LESP) determines which controllable transition is to be prevented from ring at a marking, to ensure the supervised Petri net (PN) is live. A LESP is said to be minimally restrictive if the following property is true { if a minimally restrictive LESP prevents the ring of a transition at a marking, then all other LESPs should do the same. We restrict our attention to a class of general Petri nets (PN) structures, where the existence of an LESP for an instance initialized at a marking, implies the existence of an LESP when the same instance is initialized with a larger initial marking. We show that the minimally restrictive LESP for an instance N from this class is characterized by a collection of boolean formulae f tc(N)gtc2Tc , where Tc is the set of controllable transitions in the PN. The literals in tc(N) are true if and only if the token-load of speci c places meet a threshold. Consequently, appropriately placed threshold-sensors, which detect if the token-load of a place is greater than or equal to a predetermined threshold, provide su cient information to implement the minimally restrictive LESP. Item withdrawn by Laura Spradlin (lspradl2@illinois.edu) on 2014-06-24T20:53:16Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Deverakonda_Vijayalakshmi.pdf: 1443216 bytes, checksum: d6baf08efbf1afa454d31681fd35fbf4 (MD5) Made available in DSpace on 2014-09-16T17:25:36Z (GMT). No. of bitstreams: 2 Vijayalakshmi_Deverakonda.pdf: 1443216 bytes, checksum: d6baf08efbf1afa454d31681fd35fbf4 (MD5) license.txt: 4075 bytes, checksum: 3d75fb1ce80d2cf6a10be0081d12a93e (MD5) http://hdl.handle.net/2142/50715 en Copyright 2014 Vijayalakshmi Deverakonda Petri Nets Disjunctive normal formula based supervisory control policy for general Petri nets text Industrial&Enterprise Sys Eng 1422 Industrial Engineering 0127 University of Illinois at Urbana-Champaign Thesis M.S. MS:Industrial Engineerng -UIUC 10KS0127MS