Book contents
- Frontmatter
- Contents
- Preface
- Part I Introduction
- Part II Non-State-Space (Combinatorial) Models
- Part III State-Space Models with Exponential Distributions
- Part IV State-Space Models with Non-Exponential Distributions
- Part V Multi-Level Models
- 16 Hierarchical Models
- 17 Fixed-Point Iteration
- Part VI Case Studies
- Author Index
- Subject Index
- References
17 - Fixed-Point Iteration
from Part V - Multi-Level Models
Published online by Cambridge University Press: 30 August 2017
Book contents
- Frontmatter
- Contents
- Preface
- Part I Introduction
- Part II Non-State-Space (Combinatorial) Models
- Part III State-Space Models with Exponential Distributions
- Part IV State-Space Models with Non-Exponential Distributions
- Part V Multi-Level Models
- 16 Hierarchical Models
- 17 Fixed-Point Iteration
- Part VI Case Studies
- Author Index
- Subject Index
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Reliability and Availability EngineeringModeling, Analysis, and Applications, pp. 631 - 642Publisher: Cambridge University PressPrint publication year: 2017
References
[1] and , “A decomposition approach for stochastic reward net models,” Performance Evaluation, vol. 18, pp. 37–59, 1993.Google Scholar
[2] and , “A methodology for formal expression of hierarchy in model solution,” in Proc. 5th Int. Workshop on Petri Nets and Performance Models, Oct. 1993, pp. 258–267.
[3] , , , and , “Modelling and optimization for multi-hop wireless networks using fixed point and automatic differentiation,” in Proc. 6th Int. Symp. on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, Apr. 2008, pp. 295–300.
[4] , , and , “On the reliability of safety applications in VANETs,” International Journal of Performability Engineering, vol. 8, no. 2, pp. 115–130, Mar. 2012.Google Scholar
[5] , , and , “An interacting stochastic models approach for the performance evaluation of DSRC vehicular safety communication,” IEEE Transactions on Computers, vol. 62, no. 5, pp. 873–885, May 2013.Google Scholar
[6] , , , and , “Modeling and performance analysis of large scale IaaS clouds,” Future Generation Computer Systems, vol. 29, no. 5, pp. 1216–1234, 2013.Google Scholar
[7] , , , , and , “Performance analysis of device-to-device communications with dynamic interference using stochastic Petri nets,” IEEE Transactions onWireless Communications, vol. 12, no. 12, pp. 6121–6141, Dec. 2013.Google Scholar
[8] , , , , and , “Stochastic model driven capacity planning for an infrastructure-as-a-service cloud,” IEEE Transactions on Services Computing, vol. 7, no. 4, pp. 667–680, 2014.Google Scholar
[9] , , , , and , “Scalable analytics for IaaS cloud availability,” IEEE Transactions on Cloud Computing, vol. 2, no. 1, pp. 57–70, 2014.Google Scholar
[10] , , and , “Blending randomness in closed queueing network models,” Performance Evaluation, vol. 82, pp. 15–38, 2014.Google Scholar
[11] and , “Sufficient conditions for existence of a fixed point in stochastic reward net-based iterative models,” IEEE Transactions on Software Engineering, vol. 22, no. 9, pp. 640–653, Sep. 1996.Google Scholar
[12] , , , and , “Loss formulas and their application to optimization for cellular networks,” IEEE Transactions on Vehicular Technology, pp. 654–673, 2001.Google Scholar
[13] and , “Fixed point iteration in availability modeling,” in Proc. 5th Int. GI/ITG/GMA Conf. on Fault-Tolerant Computing Systems, Tests, Diagnosis, Fault Treatment. Springer-Verlag, 1991, pp. 229–240.
[14] and , Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, NY, 1970.
[15] , , and , “Combined guard channel and mobile-assisted handoff for cellular networks,” IEEE Transactions on Vehicular Technology, vol. 57, no. 1, pp. 502–510, Jan. 2008.Google Scholar
[16] , Performance Modelling with Deterministic and Stochastic Petri Nets. Wiley-Interscience, 1998.
[17] , , , and , “Dependability modeling and evaluation of phased mission systems: A DSPN approach,” in Proc. IEEE IFIP Int. Conf. on Dependable Computing for Critical Applications, San Jose, CA, USA, Jan. 6–8 1999, pp. 319–337.
[18] , , and , “Performability analysis of clustered systems with rejuvenation under varying workload,” Performance Evaluation, vol. 64, no. 3, pp. 247–265, 2007.Google Scholar
[19] , , and , “SPNP: Stochastic Petri Nets. Version 6,” in Proc. Int. Conf. on Computer Performance Evaluation: Modelling Techniques and Tools, eds. and , LNCS 1786, Springer Verlag, 2000, pp. 354–357.
[20] and , “Queueing network models for parallel processing with asynchronous tasks,” IEEE Transactions on Computers, vol. 31, no. 11, pp. 1099–1109, 1982.Google Scholar
[21] and , “Analytic queueing models for programs with internal concurrency,” IEEE Transactions on Computers, vol. 32, no. 1, pp. 73–82, 1983.Google Scholar
[22] and , “Fixed point approximation for multirate multihop loss networks with state-dependent routing,” IEEE/ACM Transactions on Networking, vol. 12, no. 2, pp. 361–374, Apr. 2004.Google Scholar
[23] X. Ma and , “Reliability and performance of general two-dimensional broadcast wireless network,” Performance Evaluation, vol. 95, pp. 41–59, 2016.Google Scholar
[24] , , and , “MAC and application level performance evaluation of beacon message dissemination in DSRC safety communication,” Performance Evaluation, vol. 71, pp. 1–24, 2014.Google Scholar
- 1
- Cited by