This paper presents Timed Petri Nets (TPN) as an analytical approach for verification of computerized queueing network simulation models at steady state. It introduces a generic approach to decomposing a queueing network into separate and independent TPNs, each representing a resource of specific type, such as a processing resource or a transporting resource. A decomposed TPN model enables a qu...

In this paper we consider the model of Time Petri Nets (TPN) “à la Merlin” where a time interval is associated with the firing of a transition, but we extend it with open intervals. We also consider Timed Automata (TA) as defined by Alur & Dill. We investigate some questions related to expressiveness for these models : we study the impact of slight variations of semantics for TPN and we compare...

Total parenteral nutrition (TPN) is commonly used clinically to sustain patients; however, TPN is associated with profound mucosal atrophy, which may adversely affect clinical outcomes. Using a mouse TPN model, removing enteral nutrition leads to decreased crypt proliferation, increased intestinal epithelial cell (IEC) apoptosis and increased mucosal tumor necrosis factor alpha (TNF-α) expressi...

Total parenteral nutrition (TPN) is essential for patients with impaired gut function but leads to parenteral nutrition-associated liver disease (PNALD). TPN disrupts the normal enterohepatic circulation of bile acids, and we hypothesized that it would decrease intestinal expression of the newly described metabolic hormone fibroblast growth factor-19 (FGF19) and also glucagon-like peptides-1 an...

This paper proposes an optimal solution to large-scale Flexible Manufacturing System (FMS) scheduling problems under availability constraints based on Timed Petri Nets (TPNs). First a decomposition method of TPNs is proposed, then a mathematical model is derived based on their properties. The mathematical model is built to determine the optimal firing sequence of TPN transitions to minimize the...

Time Petri Nets (TPN) are Petri Net based models augmented with timing information by associating an interval to each transition. The ring time of a transition is chosen non-deterministically (but not in a stochastic manner) from its associated interval. This paper presents a technique to check if a TPN satis es temporal properties expressed in real-time Computational Tree Logic (RTCTL). The tr...

parenteral hyperalimentation, all of the patient’s daily nutritional requirements are supplied by infusing nutrients directly into the systemic circulation. TPN is widely employed in a variety of pathophysiological settings for the nutritional support of patients with conditions requiring complete bowel rest (e.g., some stages of Crohn’s disease, ulcerative colitis, and severe pancreatitis) or ...

To carry out performance evaluation of an asynchronous system, the system is modeled as Time Petri Net (TPN) and an iteration of Petri net simulations produces its performance index. The TPN model needs to satisfy required properties such as deadlock freeness. We proposed a symbolic representation of TPN for SAT-based bounded model checking. In the proposed encoding scheme, firing of transition...

This paper considers time Petri nets (TPN model) for model checking. The main challenge in model checking techniques is to construct, with lesser resources (time and space), a much coarser abstraction preserving properties of interest. These properties can be verified using standard model checking techniques. In this paper, we review some techniques, proposed in the literature, to model check u...

Objective. To use a rabbit model of parenteral nutrition-associated liver disease (PNALD) to study changes of the endoplasmic reticulum stress (ERS) marker glucose regulatory protein 94 (GRP94) and determine its role in the pathogenesis of PNALD. Methods. A rabbit PNALD model total parenteral nutrition (TPN) group was established. A corresponding control group received breast-feeding for one we...