Profile
Name Dr. B. Thilaka
Designation Professor
Areas of Interest Stochastic Process, Commutative Algebra
Room No. Room No.: 2013 MCA Block
Intercom No. 156
Mobile
Email Id (Official) bthilaka@svce.ac.in
Email Id (Personal)
Qualification
  • Ph.D Mathematics (Stochastic Processes), Anna University.
  • M.Phil Mathematics, Pondicherry University.
  • M.Sc Mathematics, Stella Maris College ( Autonomous), University of Madras.
  • B.Sc Mathematics, Ethiraj College, University of Madras.
Academic Experience
  • Working as Professor from 01.06.2013
  • Worked as an Associate Professor at SVCE from 01.06.2010- 31.05.2013.
  • Worked as an Assistant Professor at SVCE from 01.06.2005- 31.05.2010.
  • Worked as a Senior Lecturer at SVCE 01.04.2003-31.05.2005.
  • Worked as a Lecturer at SVCE from 22.04.1998-31.03.2003.
Courses Handled
  • Mathematics I
  • Mathematics II
  • Mathematics III
  • Mathematics IV
  • Statistical Methods
  • Numerical Methods
  • Probability Theory and Random Processes
  • Resource Management Techniques
  • Applied Mathematics for Electrical Engineers
  • Probability and Queueing Theory
  • Probability and Random Processes
  • Probability and Statistics
  • Special functions
  • Mathematical Foundations of Computer Science
  • Discrete Mathematics
  • Operations Research
  • Applied Mathematics for Communication Engineers
  • Applied Probability and Statistics
  • Statistics and Numerical Methods
  • Applied Mathematics for Engineers
  • Applied Statistics for Biotechnologists
Research & Consultancy
    Research Publications

  • On multitype branching processes with disasters I : The number of particles in the system , Mathematical and Computer modelling , Vol 28, No 11 , pp 87 102 , 1998 .
  • On multitype branching processes with disasters II : Total sojourn ime and the number of deaths , Mathematical and Computer modelling , Vol 28, No 11 , pp 103-114 , 1998.
  • On Semi-Markov compartmental models with branching particles under the influence of disasters , Communications in Statistics Theory and Methods, Vol 27, No 5 , pp 1101-1122, 1998 .
  • Stochastic compartmental models with branching particles and disasters : Sojourn time and related characteristics , Communications in Statistics Theory and Methods , Vol 29 , No 2 , pp 291-318, 2000.
  • An Extension OF Hill Cipher using Generalised Inverses and mth Residue Modulo n , Cryptologia , Vol XXIX, No. 4, pp 367-376, Oct 2005.
  • An adaptive K-Means Clustering Algorithm and its Application in Face Recognition, Journal of Applied Computer Sciences and Mathematics”, suceava,no.9(4)/2010, pp 90-94.
  • “ Human Resource Planning and Engagement – Decision Support through Analytics”, International Journal of Science, Technology and Management, Vol. No. 4, Special Issue No. 01, September 2015, pp 5 – 15.
  • “Employee engagement maturity : A quantitative analysis of public sector enterprises of India” , International Journal of Applied Engineering Research (IJAER), Vol. No. 10, Number 63 (2015) Special Issues, pp 11 -15.
  • ‘Decision Support for Employee Engagement Initiatives: Cumulative Value – Addition’, Asian Journal of Research in Social Sciences and Humanities, Volume 6, Issue 6, June 2016 pp. 2136 – 2151 ISSN: 2249-7315(Online).
  • “Optimal Policy – Screening for Training and Promotion”, Asian Journal of Research in Social Sciences and Humanities, Volume 6, Issue 12, December 2016 pp. 629- 641 ISSN: 2249-7315(Online).
  • “Stochastic model for policy induced human resource depletion”, International Journal of Printing, Packaging and Allied Sciences, Volume 5, Issue 1, February 2017, pp. 51-58 ISSN: 2320-4387.
  • “Performance Analysis for Queueing Systems with close down periods Subject to Catastrophe”, International Journal of Pure and Applied Mathematics, Volume 119, No 7, 2018, pp 39 -57 ISSN: 1311-8080(printed version); ISSN: 1314-3395(online version).
  • “Performance Analysis of an M/M/1 Queue with Close Down Periods, Server under Maintenance Subject to Catastrophe”, Applied Mathematics & Information Sciences, 13, No. S1, 325-335 (2019) http://www.naturalspublishing.com/ContSIss.asp?IssID=1622.
  • “ Steady state performance measures of an M/M/1 queue with single working vacation subject to catastrophe”, International Journal of Advanced Science and Technology, Vol. 29, No. 5s, (2020), pp. 173-182 , ISSN: 2005-4238 IJAST (h index -3).
  • “Optimum Promotion Policies for Hierarchical Grade Structures”, Test Engineering & Management, Vol. 83, May – June 2020, pp: 3967 – 3971.
  • “Optimal time for withdrawal of voluntary retirement scheme with a probability of acceptance of retirement request”, Journal of Information Technology and Digital World (ITDW), Vol.02/ No. 04, pp: 201-206.
  • “Grade Sizes in Hierarchical k-Grade Models”, Far East Journal of Mathematics(FJMS) online version Vol.134, 2022, pp 13-26.
  • “Grade Sizes in Two-Grade Models”, Advances and Applications in Mathematical Sciences (AAMS) online version Vol.22, Issue 4, Feb, 2023, pp 837-859.

    • Book Chapter

  • “ A neuronal model with a diffusion component and varying threshold”       Stochastic Point Processes, Srinivasan S.K. AND Vijayakumar A. EDS., Narosa Publishing House (Seminar on Point Processes and Product Densities) , Anna University , Chennai, 8-9 Aug 2003, pp 315-329.
  • “Performance Analysis of an M/M/1 Queue with Single Working Vacation with Customer Impatience Subject to Catastrophe” , B Thilaka, Poorani Balasubramanian , Udayabaskaran Swaminathan, Mathematical Analysis and Computing, Springer ICMAC2019, Kalavakkam, India, Dec 23-24, DOI : 10.1007/978-981-33-4646-8_24, Chapter 24, Pp 269-292, May 2021.
  • Performance Analysis of an M/M/2 Queue with Partially Active Server Subject to Catastrophe. In: Gunasekaran, A., Sharma, J.K., Kar, S. (eds) Applications of Operational Research in Business and Industries. Lecture Notes in Operations Research. Springer, Singapore. https://doi.org/10.1007/978-981-19-8012-1_16

    • Proceedings of Conferences/Symposiums

  • “ A finite dam model with two components of release ” , Proceedings of the third Ramanujam Symposium on Stochastic Processes and their Applications (New Age Publications, New Delhi), University of Madras , Madras , 17-19 Jan 1994 , pp 201-210
  • “ Interspike Time distribution for a stochastic model neuron ” , Proceedings of the III International Symposium on Optimization and Statistics ,Aligarh Muslim University, Aligarh , 19-21 Dec 1995 , pp 87-98 .
  • “ On total sojourn time of multitype branching processes with disasters ” , Proceedings of the International Conference on Stochastic Processes , Cochin University of Science and Technology , Cochin , 26-29 Dec 1996 , pp 189-199.
  • “ On mulitype branching processes with disasters ” , Proceedings of the International Conference on Stochastic Processes , Cochin University of Science and Technology , Cochin , 26-29 Dec 1996 , pp 201-212 .
  • “A discrete-state stochastic model for the inter-spike time distribution of single Neuron”, Proceedings of International Conference on Stochastic Processes and Their Applications, Narosa Publishers, (ICSPA’98), Anna University, Chennai, 8-10, January, 1998, pp 79-88
  • “ Employee Engagement Maturity – An exploratory study of a non-homogeneous group of organisations in India” Indian Institute of Management Bangalore International Conference on Business Analytics and Intelligence 11–13 December 2013
  • “A Quantitative Paradigm to Employee Engagement Maturity”, Proceedings of the International Conference on Applied Mathematical Models, ICAMM 2014, PSG College of Technology, Coimbatore, Jan 3-5, 2014, pp 31-35
  • “Pressure for Promotion in Hierarchical Grade Structures”, Proceedings of the International Conference on Big Data Analytics and Computational Intelligence, March 23-25, 2017, Chirala Engineering College, Chirala, India. pp17-21
  • “Optimal Time for Withdrawal of Voluntary Retirement Scheme with a Time- Varying Threshold”, Proceedings of the Second International Conference on Innovative Mechanisms for Industry Applications (ICIMIA 2020), IEEE Xplore Part Number: CFP20K58-ART; ISBN: 978-1-7281-4167-1 pp 598 -602

    • Papers Presented in Conference

  • Some passage time distributions for a finite dam , International Conference on Stochastic Modelling , New-Delhi , 10-12 Jan 1994.
  • Grade Sizes in Hierarchical K-Grade Models, 2021 IEEE Sponsored International Conference on Emerging Trends in Industry 4.0 (ETI 4.0), O P Jindal University, Chattisgarh, India, 19 – 21, May 2021.
  • Transient Analysis of a Single Server Markovian Queue with working vacation, subject to Catastrophe, 8th IEEE sponsored international conference on Science, Technology, Engineering and Mathematics – ” Smart Systems and Innovative Technology for Industry 5.0″, Jeppiar Engineering College, Chennai, 6-7 April 2023

    • Book Authored

  • Contributory author for the Fourth Edition of “Probability, Statistics and Random Processes for Engineers” by Stark and Woods, International Edition, 2012, Pearson International.

    • Journal Reviews

  • Reviewer for “International Journal of Mathematics and Soft Computing”
  • Reviewer for “Annals of Operations Research

    • Pd. D Guidance

  • Scholars guided : 2
  • Scholars guiding: 2
  • Doctoral Committee member for six research scholars affiliated to Anna University
  • Expert Examiner for Ph.D viva-voce examination for research scholar affiliated to Anna University.
Conference / Workshop / FDP
    Attended

  • One day Symposium on Mathematical Methods and Applications , IIT Madras, Madras Dec, 1993.
  • Third Ramanujam Symposium on Stochastic Processes and their Applications , University of Madras , Madras , 17-19 Jan 1994.
  • International Conference on Stochastic Processes and their Applications , Anna University , Chennai , 8-10 Jan 1998.
  • One day orientation seminar for College Teachers , Chennai , Feb 1999.
  • National Conference and workshops on technology today in Cardiac and Neurosciences, Anna University, Chennai , 26-27 May 2000.
  • Winter School on Graph Theory and Networks, Sri Venkateswara College of Engineering, Sriperumbudur, 20 Nov-1 Dec 2000.
  • QIP Short Term Course on Network Security, Ramanujan Computing Centre, Anna University, Chennai, 11-23 Feb 2002.
  • Instructional and Institutional Workshop on Actuarial Mathematics, Ramanujan Institute For Advanced Study in Mathematics, University of Madras, 18-23 March 2002.
  • One day symposium on geometric function theory, Sri Venkateswara College of Engineering, 2 Dec 2002.
  • Seminar on Point Processes and Product Densities, Anna University , Chennai, 8-9 Aug 2003.
  • One day seminar on Reliability Engineering, Reliasoft India And Centre for Reliability, Chennai, 5 Jan 2004.
  • QIP Short Term Training Programme on Fourier Transform , Wavelet Transform and their Applications, IIT, Madras, Dec 13 24 , 2004.
  • QIP Short Term Training Programme on Harmonic Analysis and Partial Differential Equations, IIT, Madras, Jan 1-12 , 2007.
  • One day Programme on Intellectual Property Rights, SVCE, 29 July 2008.
  • Workshop on “Selected topics on Theoretical Computer science”, SVCE, 25th August 2009.
  • National Seminar on “Selected Topics in Computational Fluid Dynamics”, SVCE, 9 October 2010.
  • Faculty Development Programme on Engineering Mathematics using MATLAB, VIT- Chennai Campus, 29 April 2011.
  • Faculty Development Training Programme on MA2265- Discrete Mathematics, College of Engineering, Guindy, June 15-22, 2011.
  • International Workshop on “Recent Trends in Stochastic Modelling and Mathematical Finance” at College of Engineering, Guindy Campus, Anna University Chennai, December 22-24, 2011.
  • National Workshop on “Support Vector Machines: Foundations, Research Directions and Tools “, NWSVM 12, SVCE, 15th December 2012.
  • National Workshop on Graph Colorings (NWGC 2013), Indian Statistical Institute, Chennai, January 25-27, 2013.
  • Summer Training Programme on “Financial Mathematics with hands on R Programming”, B S Abdur Rahman University, June 6 -11, 2016.
  • AICTE Sponsored QIP Short Term Course on “Mathematical Finance – theory and Practice”, IIT Madras, Chennai, January 16 – 21, 2017.
  • One day Seminar on “Fuzzy sets and its Applications in Science and Engineering”, SVCE, 14th February 2017.
  • Special Talk on “Data Science”, SVCE, 13th June 2017.
  • One day Workshop on “Graph theory and its Applications in Engineering”, SVCE, 28th June 2017.

    • Workshop/Webinar Organized

  • Two day National Workshop on Queueing Theory and Reliability Engineering during 20-21 January 2006.
  • One day National Workshop on Graph Theory- Introduction and Applications on 3rd November 2012.
  • Anna University sponsored Faculty Development and Training Programme on MA2261- Probability and Queueing Theory 4-11 December 2013.
  • Webinar on “Applications of Queueing Theory to Telecommunications”, 6 August 2020.
  • Webinar on “Discrete-Time Queues – An Overview and Current Research”, 30 July 2021.

    • Resource Person

  • Faculty Development Programme on Digital Communications, Department of ECE, SVCE, 3-15 December 2007.
  • Scholar in Residence Programme 2007 , Stella Maris College, funded by United Board for Christian Higher Education in Asia.
  • Invited Talk- “Simulations in Queueing Systems” at a two-day “Workshop on Queueing Theory and its Applications”, SKR Engineering College, 24-25 June 2011.
  • AICTE sponsored Staff Development Programme on “A Scientific Tour Over Computing Sciences using Discrete Mathematics”, Velammal Engineering College, 11-24 November 2011.
  • Faculty Development Training Programme on “Discrete Mathematics” conducted at MIT Campus, Anna University, 11-18 June 2012.
  • Faculty Development and Training Programme on Discrete Mathematics, DMI College of Engineering, 5-12, June 2013.
  • Guest Lecture in “Random Processes”, Velammal Engineering College, 23 February, 2015.
  • Faculty Development and Training Programme on “Transforms on Partial Differential Equations”, Vel Tech High Tech Dr. Rangarajan Dr. Sakuntahla Engineering College, 12 – 19 June 2018.
  • Workshop on “Data Analytics for Engineers”, Sri Venkateswara College of Engineering 21 – 22 February 2019.
  • International workshop on “Discrete Mathematics and Theoretical Computer Science”, Sri Venkateswara College of Engineering, 5 – 6 March 2020.
  • Guest Lecture in Seminar on “Mathematics in Machine Learning”, Ethiraj College for Women, 6 February 2023.

    • Session Chair

  • Chaired a paper presentation session in the “INTERNATIONAL CONFERENCE ON MATHEMATICS IN ENGINEERING AND BUSINESS MANAGEMENT” organized by Stella Maris College and Loyola Institute of Business Administration, Chennai, 9-10 March 2012.

    • Additional Lectures

  • Delivered a series of lectures on “Transform techniques” as a continuation of the advanced course in Mathematics conducted by the department from Feb 9th, 2005 onwards on all Tuesdays, Wednesdays and Thursdays for interested students after college hours.

    • Online FDPs/Courses/Webinars Attended

  • Online Course on “MATLAB Workshop with Application in Linear Algebra” conducted by Bangalore Institute of Technology, 11-16 May 2020.
  • Two Day Online FDP on Enterprise Resource Planning (ERP) conducted by Sri Venkateswara College of Engineering, 5-6 June 2020
  • Webinar on “Data Science and its Applications”, hosted by Meenakshi College of Engineering in association with Pantech E Learning, 27 May 2020
  • Webinar on “Artificial Intelligence for Employee Attribution”, hosted by Adhiyaman College of Engineering in association with Pantech E Learning, 29 May 2020
  • Webinar on “Machine Learning Predictive Analysis”, hosted by Academy of Maritime Education and Training, Chennai in association with Pantech E Learning, 20 June 2020
  • Webinar on “Mathematical Modelling in Biology”, conducted by Sri Venkateswara College of Engineering, 23 July 2020
  • Webinar on “How to write a Research Paper”, conducted by Sri Venkateswara College of Engineering, 29 July 2020
  • Five day Webinar on “Hands on Training in Data Science using Microsoft Excel”, conducted by Bangalore Institute of Technology, 27 -31 July 2020
  • Webinar on “Applications of PDE in Aeroacoustic Simulations”, conducted by Sri Venkateswara College of Engineering, 01 August 2020
  • Webinar on “International Webinar on Neutrosophic Sets”, conducted by SSN College of Engineering, 3-4 August 2020
  • Webinar on “Mathematical Modelling and Problem Solving using Sagemath”, conducted by Sri Venkateswara College of Engineering, 4-5 August 2020
  • Webinar on “Women in Technology”, conducted by Sri Venkateswara College of Engineering, 10 September 2020
  • International Faculty Development Programme on “Demystifying Optimization Techniques” organized by Bannari Amman Institute of Technology, Sathyamangalam, 22 – 27 March 2021.
  • Webinar on “VEDIC MATHS – An Ancient Calculation Technique” organized by Sri Venkateswara College of Engineering, Sriperumbudur, 6 June 2021.
  • Webinar on “Applications of Graphical Methods in Computer Science”, organized by Dr. MGR Educational and Research Centre, Adayalampattu, 14 June 2021.
  • Webinar on “Applications of Linear Algebra in Satellite Motion”, organized by VTFSR, Guntur, 16 June 2021.
  • Webinar on “Fluid Dynamics”, organized by Sri Venkateswara College of Engineering, Sriperumbudur, 22 -23 June 2021.
  • Webinar on “Applications of Finite Volume Method in Heat Transfer Problems”, organized by Sri Venkateswara College of Engineering, Sriperumbudur, 25 June 2021.
  • “Ten Days National Level Workshop on Data analysis using SPSS ” through online from 06.07.2021 to 15.07.2021 organized by V V Academy (An MSME Registered Academy), Chennai.
  • Three Day Dr R Venkataram International Lecture Series – 2022 on “The Magic of Probability & Introduction to Decision Analysis ”, organized by Bangalore Institute of Technology, 7 – 9 Sep 2022.
  • Two Week Online International Faculty Development Programme on “Current Trends in Applications of Mathematics”, from 21.09.2022 to 04.10.2022 organized by Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Avadi, Chennai.
  • One day Workshop on “Curriculum Design”, organized by Sri Venkateswara College of Engineering, Sriperumbudur, 18 October 2022.
  • Faculty Development Programme on “Applied Statistical Methods for Research”, organized by Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, 3 – 7 April 2023
  • Faculty Development Programme on “Recent Trends in Graph Theory”, organized by Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, 8 – 12 May 2023

    • COURSERA Courses Completed
    S. No Course Name Offered by Duration of Course (in weeks) Commencement Period
    1 AI For Everyone deeplearning.ai 4 April 2020
    2 Data Science Maths Skills Duke University 4 April 2020
    3 Logic for Economists University of Amsterdam 2 May 2020
    4 Mathematical Foundations of Cryptography University of Colorado 4 May 2020
    5 Calculus and Optimization for Machine Learning Higher School of Economics, National Research University 6 April 2020
    6 Financial Markets Yale University 7 May 2020
    7 Stochastic Processes Higher School of Economics, National Research University 9 May 2020
    8 Understanding Financial Markets Universite de Geneive 4 July 2020

    NPTEL COURSES COMPLETED
    S.No Course Name  Year No. of credits Classification Duration (in weeks) Period
    1 Graph Theory 2017 2 Elite 8 Aug – Oct 2017
    2 Advanced Graph Theory 2018 2 Elite 8 Feb – April 2018
    3 Calculus for Economics, Commerce and Management 2018 2 Elite 8 Feb – April 2018
    4 Design and Analysis of Experiments 2018 3 Elite(Topper) 12 Jan– April 2018
    5 Data Analysis and Decision Making – I 2018 3 Elite(Topper) 12 Jul – Oct 2018
    6 Introduction to Biostatistics 2018 2 Gold(Topper) 8 Aug – Sep 2018
    7 Biostatistics and Design of Experiments 2018 2 Elite(Topper) 8 Aug – Oct 2018
    8 Introductory Mathematical Methods for Biologists 2019 2 Gold 8 Feb – April 2019
    9 Data Analysis and Decision Making – II 2019 3 Elite(Topper) 12 Feb –April 2019
    10 Financial Mathematics 2019 3 Elite 12 Jan – April 2019
    11 Mathematical Finance 2019 3 Elite 12 Jul – Oct 2019
    12 Data Analysis and Decision Making – III 2019 3 Silver 12 Jul – Oct 2019
    13 Statistical Inference 2020 2 Silver- 8  Jan –  March 2020
    14 Data Science for Engineers 2020 2  Silver 8 Jan – March 2020
    15 Introduction to Machine Learning 2020 3  Elite 12 Jan – April 2020
    16 Mathematical Portfolio Theory 2020 3 Gold 12  Sep – Dec 2020
    17 Essential Mathematics for Machine Learning 2020 2 Gold (Topper) 8 Sep –  Nov 2020
    18 Business Statistics 2021 3 90% Gold (Topper) 12 18 Jan – 9 April 2021
    19 Introduction to Operations Research 2021 2 82% Silver (Topper) 8 15 Jan – 12 March 2021
    20 Decision Modelling 2021 2 96% Gold (Topper) 8 26 Jul – 20 Sep 2021
    21 Deep Learning 2021 3 77% Silver 12 26 Jul – 18 Oct 2021
    22 Operations and Supply Chain Management 2021 3 68% Elite 12 26 Jul – 18 Oct 2021
    23 Reinforcement Learning 2022 3 63% Elite 12 24 Jan – 20 April 2022
    24 Programming, Data Structures and Algorithms using Python 2022 2 70% Elite 8 24 Jan – 23 Mar 2022
    25 Learning Analytics Tools 2022 3 90% Gold (Topper) 12 25 Jul – 14 Oct 2022
Laboratory Handled
Training Attended
Additional Responsibilities
    Current Responsibilities:

  • Member, Board of Studies of KCG College of Technology under the Faculty of Science and Humanities, Regulations 2023
  • Anti-Ragging Squad Leader
  • Chairperson, Board of Mathematics, SVCE
  • Department Minutes in charge

    • Previous Responsibilities

  • Anna University nominee – member of Board of studies for Mathematics of Kamaraj College of Engineering and Technology, Virudhunagar
  • Professor of CRM
  • Student Counsellor for I Year BE/B.Tech Women students
  • Deputy Controller of Examinations
  • Member, NAAC Steering Committee
  • Faculty in charge – S. No. 20 – Extension of Autonomous Status
  • Assistant Dean Examinations (2013-2019)
  • NSS coordinator (2002 – 2007)
  • Advisor, MCA Students’ Association (1999 – 2001)
Achievements
  • NPTEL Discipline Star (Management) Jan – Apr 2021
  • NPTEL Domain Scholar – Operations (Management) Oct 2021
  • NPTEL Evangelist July – Dec 2021
  • NPTEL Motivated Learner July – Dec 2021
  • NPTEL Discipline Star (Computer Science and Engineering) Jan – Apr 2022
  • NPTEL Domain Scholar – Data Science (Computer Science) Oct 2022
  • Qualified in Joint CSIR-UGC Test for JRF and Eligibility for Lectureship held in JUNE, 1992 in the Subject MATHEMATICS
  • NPTEL MOTIVATED LEARNER – Dec 2019.
  • NPTEL DISCIPLINE STAR (MATHEMATICS) – Dec 2020.
  • NPTEL BELEIVER – Dec 2020.
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