2000
DOI: 10.1016/s0928-4869(00)00021-5
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Real time scheduling of batch systems

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Cited by 17 publications
(15 citation statements)
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“…In a Petri net, distributed states are modelled with discrete tokens, which can be interpreted as processed units distributed over the plant (e.g., [74]). The popularity of Petri nets in industrial automation can also be attributed to the fact that the international standard for sequential function charts, which are used to design PLDs, is based on them [75].…”
Section: Logical Control In Artefactsmentioning
confidence: 99%
“…In a Petri net, distributed states are modelled with discrete tokens, which can be interpreted as processed units distributed over the plant (e.g., [74]). The popularity of Petri nets in industrial automation can also be attributed to the fact that the international standard for sequential function charts, which are used to design PLDs, is based on them [75].…”
Section: Logical Control In Artefactsmentioning
confidence: 99%
“…This process will be executed by the token player algorithm [19]. For example, we consider the following sequent: …”
Section: Proving a Linear Logic Sequentmentioning
confidence: 99%
“…The heuristic search for the scheduling is based on generating and checking the markings of the reachability tree. The main limitations of these branch and bound algorithms are the problem of the state space explosion, and the problem of obtaining an optimal solution in real-time (Julia and Valette, 2000).…”
Section: Related Workmentioning
confidence: 99%
“…For instance, in Lloyd (1994, 2000) , a p-timed Petri net (duration associated with each place) model is used to solve the optimum-scheduling problem, based on Petri nets execution and a branch and bound technique. The problem of using a timed Petri net model is that it is necessary to know the exact duration for all transformations, which is in practice impossible (Julia and Valette, 2000). For example, for a batch of milk to be boiled, it will have a minimum duration before which the milk will not boil and a maximum duration after which the milk will burn.…”
Section: Real-time Systems Modeling Based On Petri Netsmentioning
confidence: 99%