Dr.K.KALAIARASI KALAICHELVAN

Verified email at cauverycollege.ac.in

ASSISTANT PROFESSOR OF MATHEMATICS
Cauvery College for women Autonomous



                                         

http://researchid.co/kalaiarasi

I was born in Tiruchirappalli, Tamil, Tamil Nadu, India Tamil Nadu, India on February 25, 1981. completed B.Sc., and M.Sc., Mathematics from Holy Cross College Autonomous affiliated to Bharathidasan University, Tiruchirappalli, M.Phil Mathematics in Nadu India on February 25, 1981. I completed B.Sc., and M.Sc., Mathematics from Holy Cross College Autonomous affiliated to Bharathidasan University, Tiruchirappalli, M.Phil Mathematics in St.Joseph’s College Autonomous affiliated to Bharathidasan University, Thiruchirappalli, and completed Ph.D. in Mathematics from Manonmanium University, Thirunelveli. I am having more than 16 years of experience and presently I am working as a Professor in PG and Research Department of Mathematics, Cauvery college for women, Trichy. My research interests include Fuzzy Inventory Models, Operations Research, Data Science, Machine Learning, I have more than 90 publications in a total of which are 80 journal publications includes Scopus, Web of Scien

EDUCATION

Ph.D. (Mathematics) from Manonmanium Sundaranar University, Thirunelveli, TN. Have awarded in the year 12th, August 2013.

Passed SET(State level Eligibility Test) in the year 2017.

M.Phil., (Mathematics) from St. Joseph College, Bharathidasan University, Trichy, TN with 91% in the year March 2005.

M.Sc., (Mathematics) from Holy Cross College, Bharathidasan University, Trichy, TN with 87% in the year April 2003.

B.Sc., (Mathematics) from Holy Cross College, Bharathidasan University, Trichy, TN with 86% in the year April 2001.

RESEARCH INTERESTS

I was born in Tiruchirappalli, Tamil, Tamil Nadu, India Tamil Nadu, India on February 25, 1981. completed B.Sc., and M.Sc., Mathematics from Holy Cross College Autonomous affiliated to Bharathidasan University, Tiruchirappalli, M.Phil Mathematics in Nadu India on February 25, 1981. I completed B.Sc

FUTURE PROJECTS

FUZZY INVENTORY MODELS WITH MACHINE LEVEL LANGUAGE

Abstract. Trade Credit is an important service in modern business operation. Therefore to incorporate the concept of vendor-buyer integra- tion and ordersize, dependent trade credit, we present a stylized model to determine the optimal strategy for an integrate vendor-buyer inven- tory system under the condition of trade credit. This paper develops an approach to determine the optimum economic order quantity and total annual integrated cost for both vendor and buyer under the fuzzy arith- metical operations of function principle are proposed. A full fuzzy model is developed where the input parameters annual demand, production rate, set up cost, holding cost, purchase cost, transportation cost, order processing cost, carrying cost are fuzzy trapezoidal numbers. The optimal policy for the fuzzy production inventory model is determined using the algorithm of extension of the Lagrangean method for solving inequality constraint problem and graded mean integration method is used for def


Applications Invited
19

Scopus Publications

72

Scholar Citations

5

Scholar h-index

1

Scholar i10-index

Scopus Publications

  • Solutions to fuzzy inventory model with fuzzy demand rate using heptagonal fuzzy numbers
    Annals of the Romanian Society for Cell Biology, ISSN: 20673019, eISSN: 20678282, Pages: 1442-1454, Published: 2021

  • Optimization of fuzzy inventory model with deterioration using non linear programming methods
    Annals of the Romanian Society for Cell Biology, ISSN: 20673019, eISSN: 20678282, Pages: 444-454, Published: 2021

  • Rethinking the Limits of Optimization Economic Order Quantity (EOQ) Using Self Generating Training Model by Adaptive-Neuro Fuzzy Inference System
    Communications in Computer and Information Science, ISSN: 18650929, eISSN: 18650937, Volume: 1374, Pages: 123-133, Published: 2021

  • Fuzzy economic order quantity inventory model using lagrangian method
    K. Kalaiarasi, M. Sumathi, and S. Daisy

    Advances in Mathematics: Scientific Journal, ISSN: 18578365, eISSN: 18578438, Pages: 1615-1622, Published: 2020 Union of Researchers of Macedonia

  • Optimization of multi-item (EOQ) model for a single-buyer using fuzzy geometric programming
    Journal of Critical Reviews, eISSN: 23945125, Pages: 863-881, Published: 2020

  • Optimization of fuzzy inventory EOQ model using kuhn-tucker method
    Kalaiarasi k, Sumathi M, and Mary Henrietta H

    Journal of Advanced Research in Dynamical and Control Systems, eISSN: 1943023X, Issue: 9 Special Issue, Pages: 595-599, Published: 2019 Institute of Advanced Scientific Research

  • Optimization of fuzzy EOQ model with unit time depended constant demand and shortages
    International Journal of Mechanical Engineering and Technology, ISSN: 09766340, eISSN: 09766359, Pages: 1520-1527, Published: November 2018

  • Systematic grid reallocation through reliable k process
    R. Sivasubramanian and K. Kalaiarasi

    Proceedings of the 2015 International Conference on Applied and Theoretical Computing and Communication Technology, iCATccT 2015, Pages: 233-237, Published: 19 April 2016 IEEE
    Grid Computing is one of the emerging techniques in this real time environment. Network figuring is the gathering of PC assets from numerous areas to achieve a typical objective. The matrix can be considered as a disseminated framework with non-intuitive workloads that include countless. The reallocation of the grids is one of the challenging task through which merely the occupied grids are wasted with the reusability condition. The Existing researchers have proven that reallocation of grid will result in the efficient improvement of the grid usability through which the total grid advance into the second generation of Grid Reallocation Scheme. This paper describes the reallocation process with the λ process through which every grids stability and working conditions are verified and those grids are having the challenging results with the maximum occupancy is chosen and those grids are resynthesized and reformed to be a fresh grid through which the grid is reused for the conventional purposes. The referred technique follows with the X-Grid Algorithm though which this reallocation process is achieved.

  • An entropic EOQ inventory control using dynamic programming
    Global Journal of Pure and Applied Mathematics, ISSN: 09731768, eISSN: 09739750, Pages: 1831-1844, Published: 2015

  • A novel approach for resource re-allocation in grid computing
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 23404-23410, Published: 2015

  • Optimal fuzzy cooperation in deterministic inventory situations
    International Journal of Applied Business and Economic Research, ISSN: 09727302, Pages: 439-459, Published: 2015

  • Congestion aware and control routing in mobile Ad - Hoc networks
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 37653-37661, Published: 1 September 2015

  • Implementation of memory based crypto processing systems
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 32987-32991, Published: 24 August 2015

  • Economic order quantity model with taguchi’s cost of poor quality
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 34873-34878, Published: 2015

  • Optimization of a multiple-vendor single buyer integrated inventory model with a variable number of vendors
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 29949-29962, Published: 2015

  • Single supplier multiple cooperative retailers fuzzy inventory model with quantity discount and permissible delay in payments
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 28355-28368, Published: 2015

  • Optimization of multi objective fuzzy integrated inventory model with demand dependent unit cost and lead time constraints
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 4707-4721, Published: 2015

  • Optimization of fuzzy partial back ordering economic order quantity model on the boundaries of the fill rate
    Global Journal of Pure and Applied Mathematics, ISSN: 09731768, eISSN: 09739750, Pages: 1583-1593, Published: 2015

  • Optimization of fuzzy EOQ inventory cost under order crossover
    International Journal of Applied Engineering Research, ISSN: 09734562, eISSN: 09739769, Pages: 29835-29843, Published: 2015

RECENT SCHOLAR PUBLICATIONS

  • Shortest Path On Interval-Valued Triangular Neutrosophic Fuzzy Graphs With Application
    K Kalaiarasi
    Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12 (11 2021

  • Solutions to Fuzzy Inventory Model with Fuzzy Demand Rate Using Heptagonal Fuzzy Numbers
    K Kalaiarasi, M Sumathi, S Daisy
    Annals of the Romanian Society for Cell Biology, 1442-1454 2021

  • Shortest path on interval-valued nether trapezoidal neutrosophic fuzzy graphs
    K Kalaiarasi, R Divya
    Materials Today: Proceedings 2021

  • Optimization of Fuzzy Inventory Model with Deterioration Using Non Linear Programming Methods
    K Kalaiarasi, M Sumathi, MS Begum
    Annals of the Romanian Society for Cell Biology, 444-454 2021

  • Comparison of hexagonal fuzzy numbers with varied defuzzification methods in optimization of EOQ using GP technique
    K Kalaiarasi, HM Henrietta, M Sumathi
    Materials Today: Proceedings 2021

  • Solving a multi product single machine EPQ inventory model with GP mode: By using python
    K Kalaiarasi, S Daisy, M Sumathi
    Materials Today: Proceedings 2021

  • Optimization of unconstrained multi-item (EPQ) model using fuzzy geometric programming with varying fuzzification and defuzzification methods by applying python
    K Kalaiarasi, MS Begum, M Sumathi
    Materials Today: Proceedings 2021

  • Rethinking the Limits of Optimization Economic Order Quantity (EOQ) Using Self Generating Training Model by Adaptive-Neuro Fuzzy Inference System
    A Stanley Raj, H Mary Henrietta, K Kalaiarasi, M Sumathi
    Soft Computing and its Engineering Applications: Second International 2021

  • Fuzzy EOQ model with stochastic lead time using yager’s technique
    M Nagamani, K Kalaiarasi
    Materials Today: Proceedings 2020

  • Fuzzy Sets in KM-algebras
    K Kalaiarasi, V Manimozhi
    2020

  • Multi-item fuzzy inventory model by Kuhn-Tucker method
    K Kalaiarasi, M Sumathi, MS Begum
    Malaya Journal of Matematik (MJM), 474-478 2020

  • Determining the efficiency of fuzzy logic EOQ inventory model with varying demand in comparison with Lagrangian and Kuhn-tucker method through sensitivity analysis
    K Kalaiarasi, M Sumathi, HM Henrietta, AS Raj
    J. Model Based Res. 1 (3), 1-12 2020

  • An Efficient Detection of HCC-recurrence in Clinical Data Processing using Boosted Decision Tree Classifier
    P Radha, R Divya
    Procedia Computer Science 167, 193-204 2020

  • Neighborhood Pseudo Chromatic Polynomial of Graphs
    M Jayalakshmi, R Divya
    International Journal of Applied Engineering Research 15 (8), 817-822 2020

  • Optimization Of Multi-Item (Eoq) Model For A Single-Buyer Using Fuzzy Geometric Programming
    K Kalaiarasi, M Sumathi, MS Begum
    Journal of Critical Reviews 7 (11), 863-881 2020

  • Neighborhood pseudo chromatic polynomial of a path
    R Divya, M Jayalakshmi
    J. Math. Comput. Sci. 10 (2), 219-235 2019

  • Economic order quantity in fuzzy sense with allowable shortage: A Karush Kuhn-tucker conditions approach
    K Kalaiarasi, M Sumathi, S Daisy
    Malaya Journal of Matematik (MJM) 7 (3, 2019), 502-507 2019

  • An Optimized HCC recurrence prediction using APO algorithm multiple time series clinical liver cancer dataset
    R Divya, P Radha
    Journal of medical systems 43 (7), 1-12 2019

  • Boards of Studies
    MD Balaji
    2019

  • optimization of fuzzy EOQ model with unit time dependent constant demand and shortages
    D K.Kalaiarasi,Sumathi
    International journal of Mechanical Engineering and Technology 9 (11), 1520-1527 2018

MOST CITED SCHOLAR PUBLICATIONS

  • Optimization of fuzzy integrated vendor-buyer inventory models
    W Ritha, R Kalaiarasi, YB Jun
    Annals of Fuzzy Mathematics and Informatics 2 (2), 239-257 2011
    Citations: 10

  • Optimization of fuzzy assignment model with triangular fuzzy numbers using Robust Ranking technique
    K Kalaiarasi, S Sindhu, M Arunadevi
    International Journal of Innovative Science, Engg. Technology 1 (3), 10-15 2014
    Citations: 8

  • Optimization of fuzzy integrated two-stage vendor-buyer inventory system
    R Kalaiarasi, W Ritha
    International Journal of Mathematical Sciences and Applications 1 (2), 650-670 2011
    Citations: 6

  • Optimization of economic order quantity model on the boundaries of the fill rate
    R Kalaiarasi, W Ritha
    International Mathematical Forum 6 (63), 3101-3110 2011
    Citations: 6

  • An Optimized HCC recurrence prediction using APO algorithm multiple time series clinical liver cancer dataset
    R Divya, P Radha
    Journal of medical systems 43 (7), 1-12 2019
    Citations: 5

  • An introduction to fuzzy strong graphs,fuzzy soft graphs,complement of fuzzy strong and soft graphs
    LM K .Kalaiarasi
    Global journal of pure and applied mathemtics 13 (6), 2235-2254 2018
    Citations: zy strong graphs,fuzzy soft graphs,complement of fuzzy strong and soft graphs

  • An Introduction to Fuzzy strong graphs, Fuzzy soft graphs, complement of fuzzy strong and soft graphs
    K Kalaiarasi, L Mahalakshmi
    Global Journal of Pure and Applied Mathematics 13 (6), 2235-2254 2017
    Citations: 5

  • Multiple time series clinical data with frequency measurement and feature selection
    P Radha, R Divya
    2016 IEEE International Conference on Advances in Computer Applications 2016
    Citations: 4

  • Determining the efficiency of fuzzy logic EOQ inventory model with varying demand in comparison with Lagrangian and Kuhn-tucker method through sensitivity analysis
    K Kalaiarasi, M Sumathi, HM Henrietta, AS Raj
    J. Model Based Res. 1 (3), 1-12 2020
    Citations: 3

  • Strong Interval-valued Neutrosophic Intuitionistic Fuzzy Graph
    K Kalaiarasi, R Divya
    Infinite Study 2018
    Citations: 3

  • Neighborhood pseudo chromatic polynomial of a path
    R Divya, M Jayalakshmi
    J. Math. Comput. Sci. 10 (2), 219-235 2019
    Citations: 2

  • on conormal product of two intuitionistic fuzzy graphs
    KKL Mahalakshmi
    International journal of pure and applied mathematics 120 (5), 1321-1335 2018
    Citations: 2

  • Coloring of Regular and Strong Arcs Fuzzy Graphs
    K Kalaiarasi, L Mahalakshmi
    International Journal of Fuzzy Mathematical Archive 14 (1), 59-68 2017
    Citations: 2

  • A Survey on IEEE Standards for Mobile Ad Hoc Networks
    KPK Rao, DK Kalaiarasi
    IOSR Journal of Engineering 2015
    Citations: 2

  • Data-centric routing protocols in wireless sensor networks: a survey
    KPK Rao, K Kalaiarasi
    European Journal of Advances in Engineering and Technology 2 (6), 62-69 2015
    Citations: 2

  • Image Content with Double Hashing Techniques
    MPS Vadivu, R Divya
    International Journal 1 (3) 2012
    Citations: 2

  • Optimization of unconstrained multi-item (EPQ) model using fuzzy geometric programming with varying fuzzification and defuzzification methods by applying python
    K Kalaiarasi, MS Begum, M Sumathi
    Materials Today: Proceedings 2021
    Citations: 1

  • An Efficient Detection of HCC-recurrence in Clinical Data Processing using Boosted Decision Tree Classifier
    P Radha, R Divya
    Procedia Computer Science 167, 193-204 2020
    Citations: 1

  • Neighborhood Pseudo Chromatic Polynomial of Graphs
    M Jayalakshmi, R Divya
    International Journal of Applied Engineering Research 15 (8), 817-822 2020
    Citations: 1

  • Optimization Of Multi-Item (Eoq) Model For A Single-Buyer Using Fuzzy Geometric Programming
    K Kalaiarasi, M Sumathi, MS Begum
    Journal of Critical Reviews 7 (11), 863-881 2020
    Citations: 1

Publications

Optimization of Fuzzy Integrated Vendor-Buyer Inventory Models, Annals of Fuzzy Mathematics and Informatics, Volume 2, Number 2, October 2011, pp.239-257.

Optimization of Fuzzy Integrated Two Stage Vendor-Buyer Inventory System, International Journal of Mathematical Sciences and Applications, Volume.1, Number 2 (May 2011).

Optimization of EOQ model on the boundaries of the fillrate, International Mathematical Forum, Volume 6, Number 63, 2011, pp 3101-3110.

Optimization of a Multiple Vendor Single Buyer Integrated Inventory Model with a Variable number of Vendors, International Journal of Mathematical Sciences and Engineering Applications (IJMSEA) ISNN 0973-9424, Vol.5, Nov (Sep 2011), pp.173-188.

Optimization of Single Supplier Multiple Cooperative Retailers Inventory Model with Quantity Discount and Permissible Delay in Payments, International Journal of Advance in Mathematical Sciences, ISSN: 0973-5798, Volume 1, Number 61 (Jan-June 2011).

Fuzzy EOQ Model with the Impact of Stochastic Leadtime Reduction on Inventory Cost under Order Crossover, Fuzzy Sets, Rough Sets and Multivalued operations and Applications, Serial Publications, July- Dec 2011.

Optimization of EOQ Inventory Models with Two Backorders, International Journal of Mathematics, IJAM Issues, Vol.2, Number, 2010-2011, IJAM Vol.02, Issue 01, Apr.11-Sep.11.

An Entropic EOQ with imperfect quality inventory control dynamic programming, IJAIR,Vol. 2 ,Issue 3 ,ISSN: 2278-7844, 2013, IJAIR.

RESEARCH OUTPUTS (PATENTS, SOFTWARE, PUBLICATIONS, PRODUCTS)

The optimization of inventory EOQ concept was developed to calculate replenishment order size for a single item inventory system without space constraints. The basic inventory EOQ model determines the order quantity considering the trade-off between order cost and inventory cost.
Chapter I deal with the fundamental concepts and a brief historical note on fuzzy inventory model.

Chapter II deals with the annual integrated total cost for both the vendor and the buyer and the total cost of the integrated two stage inventory system for the relationship of vendor-buyer.

Chapter III explains an inventory model with Taguchi’s cost of poor quality and on the boundaries of the fill rate in a fuzzy situation by employing the signed distance method which is triangular.

Chapter IV deals with the impact of stochastic leadtime reduction on inventory cost under order crossover by using Yager’s method.

Chapter V discusses a sequential optimization method by using Kuhn-Tucker conditions with a variable number of vendors and quality discount and permissible delay in payments.


Chapter VI provides a closed form optimal solution to the integrated vendor-buyer inventory systems with backlogging level considering both linear and fixed backorder costs.

Chapter VII contains the fuzzy cooperation in a multi-client distribution
network via fuzzy geometric programming.

Industry, Institute, or Organisation Collaboration

Working as an Assistant Professor in PG and Research Department of Mathematics at Cauvery College of women (Autonomous), Trichy from Feb 2016 to till date

Worked as a Professor in Department of Mathematics at Vel Tech University, Avadi,Chennai from Dec-2014 to Feb 2016.

Worked as an Associate Professor in Department of Mathematics at Cambridge Institute of technology , K.R.Puram, Bangalore from Dec-2013 to Dec 2014

Worked as an Assistant Professor in Department of Mathematics at CMRIT College, K.R.Puram, Bangalore from Dec-2010 to Dec-2013

Worked as a Lecturer in Department of Mathematics at SEA College, K.R.Puram Bangalore from Dec-2008 to June-2009

Worked as a Lecturer in Department of Mathematics at Lowry Memorial College, K.R.Puram Bangalore from Dec-2006 to June-2007.

Worked as a Lecturer in Department of Mathematics at Urumu Dhanalakshmi College, Trichy, TN from Dec-2003 to Mar-2005.


Worked as a Lecturer in Department of Mathematics at Holy Cross College, Trichy, TN from Jun-2003 to Oct-2003.