Department of Mathematics




Name Dr.Mrs.T.CHITRA KALARANI         
Designation Associate Professor  in Mathematics
Qualification M.Sc., M.Phil., Ph.D.,
Date of Birth 03.05.1961
Date of Appointment 16.02.1987
Date of Joining in This Service 16.02.1987
Date of Joining in This College 16.02.1987
Date of Retirement 31.05.2019
Community BC
Subject Specialization

Stochastic Processes,   Mathematical Modelling
Research Experience Since 1985
Book Publication Details

Book - 1, Edited Books - 2
Research Papers Publication Details 24
Email-id chitrajendran@yahoo.com
Mobile No 099408 86915
Phone No 04362-241067

Contribution to Academics

Curriculum


1

New Courses Designed

UG and PG

2

Redesigned existing courses

UG and PG


LIST OF PUBLICATIONS

  1. T. Chitra Kalarani and Sugumari, “Maintenance Model for an automobile system”, The SIJ Transactions on Industrial, Financial and Business Management, Vol. 1(2), (2013).

  2. T. Chitra Kalarani and R. Neelambari, “Fuzzy Markov Models for Web server Queues”, International Journal on Scientific and Engineering Research, ISSN 229-5518, Vol.4(8), (2013), pp. 885-88.

  3. T. Chitra Kalarani and S. Indrakala, “A fractal Analysis of Indian Stock Markets”, International Journal of Research and Reviews in Computer Science, ISSN No. 2079-2557, Vol.3(1), (2012).

  4. T. Chitra Kalarani and R. Neelambari, “Traffic controlling model for web server using Markov process”, Vol.3.2, (2012), pp.39-51.

  5. T. Chitra Kalarani and S. Indrakala, “Optimum replacement time of system subject to small repairable breakdown”, Applied Science periodical in              Vol. XIII(4), (2011).

  6. T. Chitra Kalarani and S. Indrakala, “The study on capital market and its behavior”, International Journal of computational Intelligence and Information security. Vol.2(7),( 2011).

  7. T. Chitra Kalarani and R. Neelambari, “A Markov Renewal based model for controlling web traffic”, International conference on ICOAA, (2011)            pp.  523-27.

  8. T. Chitra Kalarani and S. Indrakala, “The monthly effect in Indian Stock Markets evidence and implications”, ACCST Research Journal, Vol.8(3) (2011).

  9. T. Chitra Kalarani and R. Neelambari, “Trapezoidal number for solving fuzzy web queueing system problems”, PMU Journal of Humanities and Science, ISSN 0976-1853, Vol.1(2), (2010), pp. 103-107.

  10. T. Chitra Kalarani and Shamundeshwari, “A stochastic model for the study of Wastage in Manpower Planning in Advances in Mathematics”,                      Ed., S. Lakshmi and T. Chitrakalarani, Narosa Publishing House, NewDelhi, (2010), pp.12-15.

  11. T. Chitra Kalarani and R. Neelambari, “Study on Web server queue in Advances in Advances in Mathematics”, Ed., S. Lakshmi and T.Chitra Kalarani, Narosa Publishing House, New Delhi, (2010), pp.25-29.

  12. T. Chitra Kalarani, “Stochastic Model for the cumulative effects of Industrial Accidents – SCBZ Property”, IAPQR Transactions, Vol35(2), (2010),         pp.111-116.

  13. T. Chitra Kalarani, “Single Server Vacation Queue in Advances in Mathematics”, Ed., S. Lakshmi and T. Chitrakalarani, Narosa Publishing House, New Delhi,  (2010),  pp.52-59.

  14. T. Chitra Kalarani, “Time to Breakdown point of an Organization – Shock Model Approach in Advances in Mathematics”, Ed., S. Lakshmi and                     T. Chitrakalarani, Narosa Publishing House, New Delhi,  (2010),  pp.127-133.

  15. T. Chitra Kalarani and S. Indrakala, “Fitting of Stochastic Model for time series data”, Journal of Humanities and Sciences, Vol.1(2), (2010), pp.127-132.

  16. T. Chitra Kalarani, “Optimal Periodic Replacement for a system subject to Small Repairable Breakdown in Advances in Mathematics”, Ed., S. Lakshmi and T. Chitrakalarani, Narosa Publishing House, New Delhi, (2010),  pp.480-484.

  17. T. Chitra Kalarani and Shamundeshwari, “Optimal Policy for Hiring of Manpower in Manpower Planning”, International Journal of Mathematics and Applications, Vol.2(1), (2009).

  18. T.Chitra Kalarani, “Bivariate Probability Models for Industrial Accident and Manpower Loss”, Varahmihir Journal of Mathematical Sciences, Vol.7(2), (2007), pp.261-66.

  19. T.Chitra Kalarani, “Cumulative Damage Model and Alertness of Workers”, Bulletin of Pure and Applied Sciences, (2006) 25E(2):447-450.

  20. T.Chitra Kalarani, “Time to Breakdown Point – Shock Model Approach”, Applied Science Periodical, (2005) 7(2):116-121, (Co-author).

  21. T.Chitra Kalarani, “Stochastic Model for the Cumulative Effects of Industrial Accidents”, Stochastic Modelling and Applications, (2002) 5(1): 53-56, (Co-author).

  22. T.Chitra Kalarani, “Stochastic Model for Controlling the Grade Sizes”, The Journal of Indian Academy of Mathematics, (2002) 24(2):327-330,               (Co-author).

  23. T.Chitra Kalarani, “Partially Stochastic Model for Controlling the Grade Structure in One Dimensional Flow”, International Journal of Management and Systems, (2001) 17(1):65-68.

  24. T.Chitra Kalarani, “Partially Stochastic Model for Controlling the Grade Structure in Two Dimensional Flow in Analysis and Its Applications”, Ed K S Lakshmi, R Parvatham and H M Srivastava, Allied Publishers, New Delhi, (2000) Pp37-40, (Co-author).

BOOKS WRITTEN

  • Meipunai Pakupiyal, Text book prepared for PG students, Tamil Nadu State Council for Higher Education, Chennai.

EDITED BOOKS

  • Advances in Mathematics, Narosa Publishers, New Delhi, 2010 (Co-author).
  • Development in Mathematical Applications, Department of Mathematics, KN Government Arts College for Women (Autonomous), Thanjavur, (2005)            (Co-author).

CONDUCTION OF ACADEMIC PROGRAMMES
SEMINAR ORGANIZED

  • Organizing Secretary for Two days, National Level Seminar on Development in Mathematical Applications, sponsored by UGC between 8th, 9th April, 2005 at the  Department of Mathematics, Kunthavai Naacchiyaar Government Arts College for Women (Autonomous), Thanjavur.
  • Acted as Academic Secretary for Two days, National Level Seminar on advance in Mathematics – Scientific development and Engineering applications,  Sponsored by UGC between 31st August and 1st September 2009 at Department of Mathematics, Kunthavai Naacchiyaar Government Arts College for Women (Autonomous), Thanjavur.

ATTENDED SEMINARS, CONFERENCE AND WORKSHOPS

  • Heber International Conference on applications of Mathematics and Statistics organized by the Department of Mathematics, Bishop Heber College, Tiruchirappalli between 05.02.2012
  • Orientation programme on Research activities in Science for College Teachers organized by Bharathidasan University, Tiruchirappalli during March 24-25, 2012 sponsored by Tamilnadu State Council for Science and Technology.

PAPERS PRESENTED IN CONFERENCES AND SEMINARS

  • Probabilistic Model for Time Series Moment at the National Conference on Recent Advances in Pure and Applied Mathematics, Government Arts College for Women, Pudukottai, 28th-29th January 2011.
  • Optimal Policy for Hiring of Labor Service in Manpower Planning in the International Conference on Mathematics and Computer Science, held at Lyola College, Chennai from January 5th-6, 2009.
  • Optimum Replacement Time of a System Subject to Small Repairable Breakdown at the International Conference on Mathematics and Computer Science, held at Lyola College, Chennai from January 5th-6, 2009.
  • Optimal Periodic Replacement for a System Subject to Small Repairable Breakdown, National Conference on Advances in Mathematics, KN Government Arts College for Women, Thanjavur, during August 31st and September 1st, 2009.
  • Optimum Rate of Wastage in Two Graded Manpower System, National Conference on Advances in Mathematics, KN Government Arts College for Women, Thanjavur, during August 31st and September 1st, 2009.
  • Optimal Policy for Hiring Labor Service in Manpower Planning in the International Conference on Recent Trends in Applied Stochastic Methods, Madurai Kamaraj University, Madurai during December 16th-18th 2008.
  • Stochastic Model for the Cumulative Effects of Small Repairable Breakdown in  the International Conference on Recent Trends in Applied Stochastic Methods, Madurai Kamaraj University, Madurai during December 16th-18th 2008.
  • Role of NGOs for Community Irrigation Management in Tribal Areas of India at the ISTR Sixth International Conference, held at Ryerson University, Toronto, Canada from July 11th to 14th 2004.
  • Performance of NSS in KNGA College for Women in the National Seminar on Recent Trends in NSS Projects and Programs, jointly organized by the Jamal Mohamed College and Bharathidasan University, held at Jamal Mohamed College, Trichy from March 13th to 14th 2004.
  • Optimal Replacement of the System Subject to Repairs at the Seminar on Recent Trends in Research in Mathematics and Its Applications, AVVM Sri Pushpam  College, Poondi between February 1srt and 3rd, 2004.
  • Optimal Replacement of the System Subject to Shocks at the 14th International Conference of the Jangjeon Mathematical Society held at the University of Mysore from December 22nd to 24th 2003.
  • Periodic Recruitment Policy with Threshold Level at the International Conference on Operations Research and Development held at Anna University, Chennai between December 27th and 30th 2002.
  • A Stochastic Model for Controlling the Grade Structure in Two Dimensional Flow at the International Conference on Analysis and Its Applications held at Meenakshi College (W), Chennai from December 6th to 9th, 2000.
  • A Stochastic Model in the Study of Cumulative Effects of Industrial Accidents at the National Seminar on Health Economics held at PG Center, Mandya, University of Mysore from December 14-15,2000.
  • Time to Breakdown Point – Shock Model Approach at the Symposium on Applied Mathematics held at Bharathidasan Govt. College for Women, Pondicherry from September 15-17,2000.
  • A Stochastic Model for the effects of Industrial Accidents at the XIV Annual Conference of Ramanujam Mathematical Society held at Ramanujam  Institute of Advanced Studies in Mathematics, Chennai from June 5-7,2000.
  • Need for Conserving Coastal Sacred Groves at the Seminar on Kadal Tharum Marundhu Porutkkal held at Tamil University, Thanjavur from March 23-24, 2000.
  • A Mathematical Model for the Determinants of Infrastructural Development in India at the UGC Sponsored State Level Seminar on Infrastructural Development in India held at KNGA College, Thanjavur from March 29th to 30th, 2000.
  • Human Resources Planning Process at the Seminar on Contributions to Mathematics and Applications by Indian Mathematicians held at AVVM Sri Pushpam College, Poondi during February 18th-19th 1998.

 

HIGHLIGHTS

  • Controller of Examinations from March 2012 in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Academic Council Member in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Finance Committee Member in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Governing Body Member in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Member - U.G, P.G of Board of Studies in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Member - PG Board of Studies in Periyar Maniammai University, Vallam.
  • Doctoral Committee Member in four research centre of Bharathidasan University.
  • Subject expert - Teacher Recruitment Board.
  • Organizing Secretary – UGC sponsored Two days National Level Seminar on Development in Mathematics applications, Department of Mathematics, Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Academic Secretary – UGC sponsored Two days National Level Seminar, Department of Mathematics, Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • IQAC - Senior Administrative Officer – for one year (2006-2007) in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • IQAC Coordinator – for 2 years (2007 – 2008, 2008-2009.) in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • Endowment Prizes Incharge  -  (2009- 2010, 2010-2011, 2011-2012) in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.
  • NSS Programme Officers for Three years.
  • M.Phil., External Examiner.
  • M.Phil., Recognized Guide - Bharathidasan University, Periyar University, Annamalai University,Vallam.
  • Ph.D., Recognized Guide- Bharathidasan University.
  • Books Written  - Meipunai Pakupiyal, Text book prepared for PG students, Tamil Nadu State Council for Higher Education, Chennai.
  • Reviewers – The Standard International Journals transactions on  Industrial, Financial & Business Management (IFBM)
  • Staff Income Tax form Verification Committee Member for one year in Kunthavai Naacchiyaar Govt. Arts College for Women (Autonomous), Thanjavur.