MATHEMATICAL AND COMPUTATIONAL MODELS

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1 Proceedings Of the Second National Conference On MATHEMATICAL AND COMPUTATIONAL MODELS NCMCM 2003 December 11-12,2003 Editors G. Arulmozhi R. Nadarajan DEPARTMENT OF MATHEMATICS AND COMPUTER APPLICATIONS PSG College of Technology Coimbatore India TECHNISCHE- UNIVERSITATSBIBUOTHEK HANNOVER ALLIED PUBLISHERS PVT. LIMITED New Delhi Mumbai Kolkata Lucknow Chennai Nagpur Bangalore Hyderabad Ahmedabad

2 Contents Preface Invited Papers 1. A Discrete-Time Retrial Queueing Model With One Server Rein Nobel 2. Six Sigma - Implementing Management Strategy Using Mathematical And Statistical Techniques U. Dinesh Kumar 16 Stochastic Models 3. Bi-Weighted Multi-Objective Stochastic Fractional Programming Problem With Mixed Constraints 29 V Charles and Debashis Dutfa 4. A Stochastic Model For The Estimation Of Time To Seroconversion Of HIV Infected Using Order Statistics 37 Nirmala PRatchagar, S. Vljaya, R. Sathlyamoorthl and R. Kannan 5. Modelling And Simulation Of A Process Using Canonical Variate Analysis %3 A. Vimala Juliet, S. Renganathan, Deepak Srinivasan and Karthik Prabhu 6. Genetic Algorithm-Mimic Of Markov Chain 51 T. Ramaraj and G. Nirmala vu

3 7. An Extension Of The Optimal Reserve Inventory Level Between Machines Model 57 K. Rajagopal and R. Sathlyamoorthy 8. Reliability Models For Fault Tolerant Software - Recovery Blocks And N-Version Programming 63 U. Dlnesh Kumar 9. Markovian Queue with Controllable Arrival And State Dependent Servers 71 K, Udayachandrika and S. Muthuldkshmi m 10. Analysis Of A Bulk Queue With Multiple Vacations And Accessible Batch Service 79 R. Arumuganathan and A, Rathinasamy 11. Production Inventory With Random Life Time And Retrial Of Customers 89 A. Krlshnamoorthy and Mohammed Ekramol Islam Optimization Techniques 12. Software Agent Based Exponential Regression Forecasting Model For Database Intrusion Detection 111 R Ramasubramanian and A. Kannan 13. A New Method For Finding The Critical Path Of A CPM Network K.J. Satao 14. A New Mathematical Solution Technique For Optimal Capacitor Placement In Single Phase Induction Motor 130 R. Bhuvaneswari and S. Subramanlan 15. Optimum Cost Of Promotion In Manpower Models 136 A. Srlnivasan and K. Kasturri 16. Inventory Policy With Lead-Time And Dynamic Demand Over A Finite Time Horizon 145 Jayanta Kumar Dey, Samarjit Kaur and Manoranjan Malti. vm

4 17. Performance Analysis Of Indian Diamond Processing Industry Using Data Envelopment Analysis 166 Harltha Saranga and U. Dlnesh Kumar 18. Busy Period Analysis Of A Rotary Production System Subject To Inspection * 175 M.N. Gopalan Decision Making And Intelligent Systems 19. Mathematical Modelling Of Regulation In A Network Of Genes 185 Ranjith Vasireddy 20. Efficient Mining Of Association Rules Using Partition Algorithm 191 A. Krlshnan, R. Hemalatha and C. Senthamaral 21. Evolving Research Design Using Flexible Systems Methodology : Expert Systems Approach 197 Ramaraj Palanisamy 22. Statistical Expert System For Short-Term Projections Of Traffic Flow 207 M. Subbiah and M.S. Ganesh 23. Agent Programming - Mind Reader (Decision Making Model) 211 V. Palaniswamy, G. Tholkappla Arasu, M. MalarvlzhI and N. Arunkumar 24. Rate Of Return Of Business Intelligence And Data Warehousing- Issues 218 R.K. Gupta General Mathematical Models 25. The RK-Butcher Algorithm Approach To Stiff Systems Of Higher Dimension 233 S. Sekar, V Murugesh and K. Murugesan ix

5 26. Efficient Representations Of Multiple-Valued Sets Using Distributive Lattice And Quasi-Boolean Logics 241 D. Kalamani and P Balasubramani 27. Development Of Mathematical Models To Predict The Components Of butting Force In A Turning Process Using Response Surface Methodology 247 VN.Gaitonde 28. Subword Complexity Of Partial Words 253 K. Sasikala. T. Kalyani, V.R. Dare andpj. Abisha 29. Generation Of Pictures By ISO Array Grammar 260 T. Kalyani, K. Sasikala and V.R. Dare 30. A Study On Timed Online Tesselation Automata 267 Mary Jemima Samuel, V.R. Dare and D.G. Thomas 31. Modelling And Simulation 273 H. Srimathi 32. Reliability Estimation For A Software System With Multiple Types Of Faults 279 S. Palaniammal, G. Arulmozhi and R. Nadarajan 33. Explicit Methods For Nonlinearly Damped Oscillators 287 Rajive Kumar and Sangita Kansal 34. Solution Of Travelling Salesman Problem With Simulated Annealing Of Mean-Field Approximation Neural Network 297 Naveen Kumar Sharma, Manish Mangal and ManuPratap Singh 35. A New Class Semi Open Sets In Topological Spaces 305 G. Sai Sundara Krishnan 36. Triangular Equilibrium Points In Photo Gravitational Restricted Three Body Problem With Poynting - Robertson Drag. 910 B.lshwarandD.K.Tripathi -- -.

6 37. Macroscopic Spin Tunnelling In Coupled Quantum Dots 321 Ramya Krishnan and R. Amuda Graph Theory 38. Total Point Set Domination Number Of A Graph 331 V. Swaminathan and PPoovaszhaki 39. Split, Non Split Domination Numbers Of The Intermediate Graph I omp(c 336 IN. Janakiraman, S. Muthammai and M. Bhanumathi 40. Complementary Connected Domination Number And Chromatic Number Of A Graph 342 J. Paulraj Joseph and G. Mahadevan 41. Efficient Restrained Domination In Graph 350 V. Swaminathan and PSumathl 42. Complement Glue Graph Of A Graph 355 IN. Janakiraman, M. Bhanumathi and S. Muthammai 43. Wiener Number Of Dendrimers 361 H.B. Walikar, H.S. Ramane and VS. Shigenalli 44. Extrinsic Edges And Perfect Bipartition Cycles In A Simple, 2-Edge Connected Even Graph 369 R. Anitha and R.S. Lekshmi 45. Invariance Of Resistance Distance Under Cycle To Star Transformation 378 H.B. Walikar. D.N. Misale and H.S. Ramane Networks 46. Performance Of Processor-Memory Interconnection Networks 389 A. Subramanyam, E. V Prasad and C. Nadamuni Reddy XI

7 47. Analysis Of Global Scheduling Algorithms In Distributed Systems 395 A. Krishnan, C. Senthamarai and R. Hemalatha 48. Analysis Of Re-Arrangeable Multicast In Hypercube Optical WDM Networks 401 M. Sabrlglrlraj and M. Meenakshi 49. Performance Analysis Of Two Node Closed System With Preemptive Different Priority 406 Madhu Jain, G. C. Sharma and Poonam $lngh Soft Computing 50. Prediction Of Turning Process Parameters By Artificial Neural Network 415 V.N. Galtonde, S.R. Karnlk, Bindlya RAnkolekar and Padmashree D. Klvade 51. Review Analysis Of Dynamic Tunnelling Technique For Global Optimization 421 Sandeep Singh Gill and Gaganpreet Kaur 52. Fuzzy Logic In Medical Decision Support System 428 K. Thangavel and G. Geetharamani 53. On The Performance Analysis Of A Neuro -Genetic Model For The Prediction Of Uplift Capacity Of Suction Caissons 435 G.A. Vijayalakshmi Pai 54. Simulated Annealing Algorithm Application To Starting Torque Optimization Of Split - Phase Induction Motor 446 R. Bhuvaneswari and S. Subramanian 55. Neural Network Back Propagation Algorithm For Delay Differential Equations 453 RBalasubramaniam, J. Abul Samath and A. Vincent Antony Kumar xii

8 56. Fuzzy Controlled Neural Network Emulator For Quasi Resonant Converter 460 U. Sabura Banu, G. Uma and M.A. Panneerselvam 57. Recalling Of Patterns Using Genetic Algorithms With Hopfield Neural Network 466 Manish Mangal and Manu Pratap Singh Computational Models 58. Mathematical Modelling Of Soft Switched Converters 479 U. Sabura Banu, G. Uma and M.A. Panneerselvam 59. Incompatibility Of Kantowski-Sachs Space-Time In Scale Invariant Theory 488 Bivudutta Mishra and PK. Sahoo 60. Application Of Steady State Models Using Chemcad For Distillation Column Control Design 494 R. Parthiban and A.K. Mohanasundaram 61. Optimal Bivariate Policy Of Recruitment In Man Power Planning 500 A.SrlnlvasanandVSaavithri Cryptography 62. A Key Distribution For IEEE Encryption Keys R. Asokan and V Prithlvlraj 63. Hardware Architecture For Elliptic Curve Cryptography RBalasubramanlam andb. Parameswaran Image Processing 64. X - Ray Image Analysis For Finding Manufacturing Defects In Metals Products 527 S. Jeyakumar, S. Babu Renga Rajan and R. Slvabalan XIII

9 65. Image Downsizing In Compressed Domain 533 B.S. Usha and V Udayashankar 66. Image Compression Using Wavelets 541 Sanjeevakumar Kubakaddi and K. Umarani 67. Person Identification System Using Facial Images 550 Md. Anisuzzaman Siddique, Md. Maruf Monwar, Subrata Pramanik, Sharmin Nilufar and Md. Muksitul Haque 68. A Rough Set Framework For Texture Segmentation 561 V. Sharma and R. Panda 69. A New Divisive Approach For Facial Recognition Using Discrete Cosine Transforms 567 C. Nandini and C.N. Ravi Kumar Algorithms and Design 70. Digital Time Stamping Service 579 J. Amar Pratap Singh, PKumaran, T. Navaneetha Krishnan and S.Manivannan 71. Progressive Approach To Check Consistency Of Checkpoints In Rollback Recovery With Active Monitor Process 587 K. Nagarajan and B. Parvathavarthini 72. Software Metrics 597 S. Duraiswamy and G. Kousalya 73. Speaker Recognition System 607 C.N. Ravi Kumar, YRGowramma, VS. Badari Narayan, K. Srinivas and B.R. Vamshi Krishna Author Index 617 XIV

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