IPA for continuous petri nets

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 10, Issue PART 1, 2010, Pages 47-52

  Giua, Alessandro ^a   Seatzu, Carla ^a   Wardi, Yorai ^b  

^a UNIVERSITY OF CAGLIARI   (Italy)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Hybrid Petri nets; Infinitesimal perturbation analysis; Stochastic hybrid systems

Indexed keywords

DISCRETE EVENT SIMULATION; HYBRID SYSTEMS; STOCHASTIC SYSTEMS;

ALGEBRAIC STRUCTURES; CONTINUOUS PETRI NET; CONTINUOUS TRANSITIONS; HYBRID PETRI NET; INFINITESIMAL PERTURBATION ANALYSIS; PERFORMANCE FUNCTIONS; SIMPLE ALGORITHM; STOCHASTIC HYBRID SYSTEMS;

PETRI NETS;

EID: 80052019052     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20100830-3-de-4013.00010     Document Type: Conference Paper

References (12)

1. Alla, H., and David, R. (1998). Continuous and Hybrid Petri Nets. Journal of Circuits Systems Computers, Vol. 8, pp. 159-188. (Pubitemid 128540252)
2. Cassandras, C. (2006). Stochastic flow systems: Modeling and sensitivity analysis. In Stochastic Hybrid Systems: Recent Developments and Research Trends, Eds. C.G. Cassandras and J. Lygeros, CRC Press, New York, New York, pp. 137-165.
3. Cassandras, C., Wardi, Y., Panayiotou, C., and Yao, C. (2009). Perturbation Analysis and Optimization of Stochastic Hybrid Systems. European Journal of Control, to appear.
4. Chen, M., Hu, J., and Fu, F. (2004). Fluid Approximation and Perturbation Analysis of a Dynamic Priority CallCenter. In Proc. 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, The Bahamas, December 14-17.
5. Giua, A., Seatzu, C., and Wardi, Y. (2010). IPA for Continuous Petri Nets. Technical Memorandum, www.diee.unica.it/automatica/TR/DIEE-2010-Aut-01.pdf
6. Panayiotou, C., Cassandras, C., Sun, G.,Wardi, Y. (2004). Control of Communication Networks Using Infinitesimal Perturbation Analysis of Stochastic Fluid Models. In Notes in Control and Information Sciences (LCNCIS): Advances in Communication Control Networks, Eds. S. Tarbouriech, C.T. Abdallah, and J. Chiasson, Springer-Verlag, pp. 1-26.
7. Panayiotou, C., and Cassandras, C. (2006). Infinitesimal Perturbation Analysis and Optimization for Make-To-Stock Manufacturing Systems Based on Stochastic Fluid Models. Journal of Discrete Event Dynamic Systems, Vol. 16, pp. 109-142. (Pubitemid 43261386)
8. Silva, M. and Recalde, L. (2004). On fluidification of Petri net models: from discrete to hybrid and continuous models. Annual Reviews in Control, Vol. 28, pp. 253-266.
9. Wardi, Y., Adams, R., and Melamed, B. (2010). A Unified Approach to Infinitesimal Perturbation Analysis in Stochastic Flow Models: The Single-Stage Case. IEEE Transactions on Automatic Control, Vol. AC-55, No. 1, pp. 89-103.
10. Xie, X. (2002) Fluid-Stochastic-Event Graphs for Evaluation and Optimization of Discrete-Event Systems with Failures IEEE Transactions on Robotics and Automation, Vol. 18, pp. 360-367.
11. Yu. H. and Cassandras, C. (2005). A New Paradigm for an On-Line Management of Communication Networks with Multiplicative Feedback Control. In Performance Evaluation and Planning Methods for the Next Generation Internet, Eds. Girard, A., Sanso', B., and Vasquez-Abad, F., Springer-Verlag, pp. 297-332.
12. Zhao, Y., and Melamed, B. (2007). IPA Gradients for Make-to-Stock Production-Inventory Systems with Lost Sales. IEEE Transactions on Automatic Control, Vol. 52, pp. 1491 - 1495. (Pubitemid 47316699)