Research  -- Wenying Feng

     I have been working in both areas of Mathematics and Computer Science. On the side of Mathematics, I am interested in the study of existence, uniqueness, multiplicity and non-existence of solutions and positive solutions for nonlinear boundary value problems by applying topological methods such as spectral, degree, coincidence degree, eigenvalue and fixed point theories. I am also working on nonlinear and semilinear spectral theories and their applications.

     In Computer Science, I have been actively pursuing research in applications of mathematical and simulation modeling in the study of computing systems.  Currently, I am involved in several research projects including Web caching and network intrusion detection based on machine learning. Most of these projects are joint work with my graduate students.

Publications

 

Refereed Journals

 

W. Feng and H. Chen, Performance optimization for Web caching based on input modeling, Journal of Computational Methods in Science and Engineering (JCMSE), 9 (1,2) suppl., IOS Press, (2009), pp.149-158.

 

W. Feng,  Markov process analysis for Web caching with multiple popularity levels, Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms (DCDIS_B), 15 (2008), pp. 447—457.

W. Feng and Y. Zhang,  A Birth-death model for web cache systems: numerical solutions and simulation,  Nonlinear Analysis: Hybrid Systems and Applications, 2 (2), (2008), pp. 272— 284. Elsevier Publisher (http://www.sciencedirect.com/).

W.  Feng, G. Zhang and Y. Chai, Existence of positive solutions for second order differential equations arising from chemical reactor theory,  Discrete Contin. Dyn. Syst. suppl. (2007),   pp. 373—381.

W. Feng and H. Chen,  Adaptive caching by pre-fetching and re-fetching, The International Journal of Electronics and Computer Science (JECS) 9 (2), (2007),  pp. 63—74.

G. Zhang and W. Feng, On the number of positive solutions of a nonlinear algebraic system,  Linear Algebra and Its Applications,  422 (2007)  pp.  404—421.

W.  Feng and E. A. Slaoui, State flow and metrics analysis in a payroll system design, Research Journal of the ooi Academy Transactions on Software Engineering,  6 (1), (2006), pp. 201—212.  Mentored Research Cash Award for Best Conference Paper at the Spring 2006 Faculty Student Multidiscipline International Conference on Research and Teaching, Ruston, LA, May 24-27, 2006.

W.  Feng and R. T. Hurley, A ratio condition on the parameters of a class of service systems, ACIS International Journal of Computers & Information Science (IJCIS), 6 (1), (2005),  pp. 38 — 47.

A. Visatemongkolchai, J. Lee, C. Chifor and W. Feng,  An integrated online cliental and accounting management system, Research Journal of the ooi Academy Transactions on Software Engineering,  5 (1),  (2005), pp. 245—254.

W. Feng,  Nonlinear and semilinear spectrum for asymptotically or positively homogeneous operators,  Nonlinear Analysis  57 (2004),  pp.  891—903.
     

W. Feng and R. T. Hurley,  Performance comparison for service systems with or without anticipated delay information by analysis and simulation, the  International Journal of Computers and Their Applications, 11 (3), (2004),  pp. 143 — 151.

W. Feng,  Nonlinear  spectral theory and operator equations,  Nonlinear Functional Analysis and Applications, 8 (4),  (2003),  pp. 519 — 534.


W. Feng,  Solutions and positive solutions for some three-point boundary value problems,  Discrete and Continuous Dynamical Systems  (supplement volume),  proceedings of the fourth international conference on dynamical systems and differential equations,  (2003),  pp. 263 — 272.


W. Feng,  Existence for a nonlinear elliptic system at resonance, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis 9 (2002),  pp. 69 — 78.


W. Feng, Decomposition conditions for two-point boundary value problems,  Internat. J. Math. & Math. Sci. 24 (6), (2000), pp. 389 — 401.


W. Feng,  and J. R. L. Webb, A spectral theory for semilinear operators and its applications,  Progress in Nonlinear Differential Equations and Their Applications, 40 (2000),  pp. 149 — 163.


W. Feng,  A new spectral theory for nonlinear operators and its application,  Abstr. Appl. Anal. 2 (1997),  pp. 163 — 183.


W. Feng and J. R. L. Webb, Solvability of three-point boundary value problems at resonance,   Nonlinear Analysis, TMA. 30 (1997),   pp. 3227 — 3238. 


W. Feng, On an m-point boundary value problem, Nonlinear Analysis, TMA. 30 (1997),  pp. 5369 — 5374.


W. Feng and J. R. L. Webb, Solvability of the m-point boundary value problems with nonlinear growth,  J. Math. Anal. Appl. 212 (1997),  pp. 467 — 480.


W. Feng and J. R. L. Webb, Surjectivity results for nonlinear operators without oddness conditions, Comment. Math. Univ. Carolinae 38 (1997),  pp. 15 — 28.


W. Feng,  The elementary operators on  C-2 and  C*-Algebra, Acta. Mathematica Sinita (ACMSI) 35 (1992),  pp. 809— 814.


W. Feng and Y. Wang, On numerical ranges and essential numerical ranges of  elementary operators, Chinese Science Bulletin (KEXTC1) 37 (1992),  pp. 341 — 342.


W. Feng, Elementary operators on operator Banach lattice and Banach module,  J. Hebei Normal University (JHEBN) 3 (1990),  pp. 61 — 65. 


W. Feng, On elementary operators preserving Hermitian and Hermitian elementary  operators,  J.  Hebei Normal University (JHEBN) 2 (1989),  pp. 73 — 80.


G. Ji and W. Feng, An estimate for the norm of derivation,  J. Math. Research and Exposition (JMATR2) 9 (1989),  pp. 382 — 384.


W. Feng and G. Ji,  A counterexample in the theory of derivations, Glasgow Mathematical Journal 31 (1989),  pp. 161 — 163.


W. Feng,  A simple proof and generalization of the theorem on operators preserving projections of rank 1,  J. Shaanxi Normal University (JSHAN) 2 (1988),  pp. 90 — 94.


W. Feng and E. Mao,  Some generalization on the book Typical Examples  and Clever  Methods in Analysis,  J. Hebei Normal University (JHEBN) 1 (1985),  pp. 119 — 128.

 

Book Chapters

Q. Zhang, G. Hu and W. Feng, Design and performance evaluation of a machine learning-based method for intrusion detection. Studies in Computational Intelligence, Spring Berlin/Heidelberg, Vol. 295 (2010), pp. 69 – 83.

 

W. Feng, S. Man and G. Hu, Markov tree prediction on Web cache prefetching. Studies in Computational Intelligence, Springer Berlin/Heidelberg, Vol. 209 (2009), pp. 105 – 120.

Refereed Conference Proceedings

 

T. H. Kazi, W. Feng and G. Hu,  Web object prefetching: approaches and a new algorithm, Proceedings of  the 11th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD2010), London, UK., June 9-11 (2010),  IEEE Computer Society Publications,  pp. 115 –120.puter Society Publications, pp. 115 – 120.

 

I. Stewart, W. Feng and S. Akl, Tuning neural networks by both connectivity and size, Proceedings of the 7th International Conference on Information Technology: New Generations (ITNG 2010), Las Vegas, USA, April 12-14, (2010). IEEE Computer Society Publications, pp.126 – 131.

 

Q. Zhang and W. Feng, Network intrusion detection by support vector and ant colony, Proceedings of the 2009 International Workshop on Information Security and Application (IWISA 2009), Qingdao, China, November 21-22, (2009), Academy Publisher (http://www.academypublisher.com/), pp. 639 – 642.

 

I. Stewart, W. Feng and S. Akl, A further improvement on a modified genetic algorithm, Proceedings of the 6th International Conference on Information Technology: New Generations (ITNG 2009), Las Vegas, Nevada, USA, April 27—29, (2009), IEEE Computer Society Publications,  pp. 154 – 159.

 

W. Feng and K. Vij,  Web Cache Prefetching by Multi-dimensional Matrix, Proceedings of the International Conference on Advanced Software Engineering & Its Applications (ASEA 2008), Hainan Island, China, December 13-15, (2008), IEEE Computer Society Publications, pp. 265—270.

K. Vij and W. Feng, Boundary value analysis using divide-and-rule approach, Proceedings of the 5th International Conference on Information Technology: New Generations, (ITNG2008), Las Vegas, USA, April 7-9, (2008), IEEE Computer Society Publications, pp. 70—75.

W. Feng and H. Chen, Web cache adaptive replacement policy by LRU and LFU, Proceeding of the ISCA 17th International Conference on Software Engineering and Data Engineering (ISCA-SEDE2008),  Los Angeles, USA, June 30-July 2, (2008), pp. 55—60, ISBN: 978-1-880843-67-3.
 

W. Feng, P. O’Keefe and S. Man, Modeling and practice on component based software design - a case study, Proceedings of the 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD2007), Qingdao, China, July 30 - August 1, (2007),  IEEE Computer Society Publications, Vol 1, pp. 676—681..

W. Feng and K. Vij, Machine learning prediction and Web access modeling, Proceedings of the 31st Annual IEEE International Computer Software and Applications Conference (Workshop Papers), Beijing,  China, July 23-27, (2007), pp. 607—612,  IEEE Computer Society Publications.

W. Feng and H. Chen, A matrix algorithm for Web cache prefetching,  Proceedings of the 6th ACIS/IEEE International Conference on Computer and Information Science (ICIS-2007), Melbourne, Australia, July 11-13, (2007), pp. 788—793,  IEEE Computer Society Publications.

W. Dosch and W. Feng, Transformational design of an asynchronous distributor component, Proceedings of the ISCA 22nd International Conference on Computers and Their Applicatio(CATA-2007), Honolulu, Hawaii USA, March 28-30, (2007), pp. 81—88.

T. Wisniewski and W. Feng,  A process modeling system aimed at large-scale collaborative design over networks,  Proceedings of the ISCA 19th International Conference on Computer Applications in Industry and Engineering (CAINE-2006),  Las Vegas, Nevada USA,  November 13-15, (2006), pp. 277 —282.  

T. Wisniewski and W. Feng,  A new modeling notation for system design and workflow patterns, Proceedings of the ISCA 19th International Conference on Computer Applications in Industry and Engineering (CAINE-2006),  Las Vegas, Nevada USA, November 13-15, (2006),  pp. 301 — 306.

W. Feng,  QoS based web caching - A markov chain model, (extended abstract), Proceedings of the International Conference on Mathematical Aspects of Computer and Information Sciences (MACIS-2006), sponsored by the Key Laboratory of Mathematics, Informatics and Behavioral Semantics of the Ministry of Education of China, Beihang University and Peking University, Beijing, China, July 24-26, (2006), pp. 287 — 290.

Y.  Zhang, W. Feng and R. Hurley, Integration of QoS queuing schedules to QoS caching schemes, Proceedings of the 5th IEEE/ACIS International Conference on Computer and Information Science (ICIS-2006), Honolulu, Hawaii, USA July 10-12, (2006),  pp. 479 — 484.

W. Feng and E. A. Slaoui,  Functional approach for the architecture design of a payroll system, Proceedings of the Sixth IEEE International Conference on Electro/Information Technology,  (IEEE-EIT 2006),  Kellogg Center, Michigan State University, East Lansing, MI, USA, May 7-10, (2006).

W. Feng and Y. Zhang, A general cache partition model for multiple QoS classes: algorithm and simulation,   Proceedings of the International Conference on Computational Intelligence for Modelling, Control and Automation (CIMCA'2005), Volume II, IEEE publications, Vienna, Austria, November 28-30 (2005), pp. 544— 549.

E. A.  Slaoui, M. Marrone, D. Nikolova and W. Feng,  A practical payroll system design that aimed at small business management,  Proceedings of the ISCA 18th International Conference on Computer Applications in Industry and Engineering (CAINE-2005), Honolulu, Hawaii, USA, November 9-11, (2005), pp. 292— 297.

W. Feng and S. Man, QoS based caching scheme by page priority and popularity,  Proceedings of the 19th International Teletraffic Congress (ITC19), Beijing, China, August-September, (2005), pp.1539 — 1548.

N. Narayanan, P. Q. Chen, X. Feng and W.  Feng, A high level design and testing of Celestial Tracking Software with the focus of reusability, Proceedings of the 2005 IEEE International Conference on Information Reuse and Integration (IEEE IRI-2005),  Las Vegas, USA, August, (2005), pp. 573 — 578.

W. Feng and Z. Zhang, Sequence algorithms for boundary value analysis with constrained input parameters,  Proceedings of the ISCA 14th International Conference on Intelligent and Adaptive Systems and Software Engineering (IASSE-2005),  Toronto, Canada,  June, (2005),  pp. 255—260.

W. Feng,  Applications of nonlinear and semilinear spectral theory to boundary value problems, (extended abstract), Oberwolfach Reports (OWR), Mathematisches Forschungsinstitut Oberwolfach, Volume 1 (1), pp. 427—428,  (2004). (ISSN 1660-8933).

W. Feng, V. Gupta and N. Debnath, A practical approach to test case design for module based Web applications and reusability, Proceedings of the 2004 IEEE International Conference on Information Reuse and Integration (IEEE IRI-2004),  Las Vegas, USA, November, (2004), pp. 222 — 228.

N. Debnath, W. Feng, M. Burgin, J. Wilson and J. Cropper, An Auto-tester for the Modified Nextdate Function Reusing a Test Case Generator,  Proceedings of the 2004 IEEE International Conference on Information Reuse and Integration (IEEE IRI-2004),  Las Vegas, USA, November, (2004), pp. 121— 126.

W. Feng,  Analytic results on the performance of service systems with different parameters, Proceedings of  the 5th International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, Beijing, China, June-July, (2004), pp. 320 — 326.

R. T. Hurley, W. Feng, and B. Y. Li, Performance Benefits of Partitioning in a Web-Caching Environment, Proceedings of  the 16th  International Conference on Computer Applications in Industry and Engineering , Las Vegas, USA, November, (2003), pp. 68 — 73.

 

R. T. Hurley, W. Feng, and B. Y. Li, Partitioning in Distributed and Hierarchical Web-Caching Architectures: A Performance Comparison, Proceedings of  the 16th International Conference on Computer Applications in Industry and Engineering (CAINE03), Las Vegas, USA, November, (2003), pp. 184 — 188.

 

W. Feng, R. T. Hurley and Z. Tan, Increasing Web cache hit rate by dynamic location partitioning, Proceedings of the 7th International Conference on Computer Science and Informatics,  Cary,  North Carolina,  USA, September (2003), pp. 405 — 409.

 

W. Feng, Improving service for service systems with different arriving rates, Proceedings of  the 4th International Conference on Parallel and Distributed Computing, Applications and Technologies, Chengdu, P. R. China, August (2003), pp. 315 — 318.

 

Y. H. Tam and W. Feng, Performance evaluation of six wireless Ad Hoc network routing protocols,  Proceedings of the ISCA 18th International Conference on Computers and Their Applications ,  Honolulu, Hawaii, March (2003),  pp. 110 — 113.

 

R. T. Hurley, W. Feng, and B. Y. Li,  An analytical comparison of distributed and hierarchical Web-caching architectures,  Proceedings of the ISCA 18th International Conference on Computers and Their Applications ,  Honolulu, Hawaii, March  (2003),  pp. 291— 295.

 

W. Feng,  Performance analysis for a software system by mathematical modeling method,  Proceedings of the ISCA 15th International Conference on Computer Applications in Industry and Engineering , San Diego, California,  November  (2002),  pp. 256 — 260.

 

R. T. Hurley and W.  Feng, Adverse effects of  large files in a file migration system,  Proceedings of the 17th CATA International Conference on Computers and Their Applications,  San Francisco,  California, June (2002),  pp.192 — 197.

 

W. Feng and R. T. Hurley, Birth-death models for a class of service systems,  Proceedings of  the 20th IASTED International Multi-conference on Applied Informatics,  Innsbruck, Austria, January (2002), pp. 320 — 325.

 

R. T. Hurley and W. Feng, Performance results on scheduling algorithms for a broadcast information delivery system, Proceedings of the 16th  CATA International Conference on Computers and Their Applications, Seattle, WA, March (2001),  pp. 247— 250.

 

W. Feng, The numerical range and essential numerical range for multiplication operators,  Proceeding of Satellite Scientific Conference,  China  (1993),  pp. 1— 5.