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Shivi Agarwal

Associate Professor, Department of Mathematics,
BITS Pilani, Pilani Campus

Data Envelopment Analysis, Efficiency and Productivity, Fractional Calculus, Fuzzy set theory, Multi criteria Decision Making Techniques, Neural Networks, Rough Set Theory
6067-T, Department of Mathematics, NAB,
Birla Institute of Technology & Science, Pilani- 333031, Rajasthan. India.

 

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Publications

Research Publications in Reviewed Journals: 

  • Jyoti Luhaniwal, Shivi Agarwal, Trilok Mathur, "Assessment of Offshore Wind Farm Site Suitability in India using GIS and MCDM Methods", Operational Research, 25 (2), 624-631, 2025.
  • Jyoti Luhaniwal, Shivi Agarwal, Trilok Mathur, "An integrated DEA-Fuzzy AHP Method for Prioritization of Renewable Energy Sources in India",Scientific Reports, 15(1), 838, 2025.
  • Jyoti Luhaniwal, Harish Puppala, Shivi Agarwal, Trilok Mathur, "Framework for Strategic Deployment of Hybrid Offshore Solar and Wind Power Plants: A Case Study of India", Journal of Cleaner Production, 479, 144009, 2024.
  • Juan Jose Nieto, Ashish Yadav, Trilok Mathur, Shivi Agarwal, “Fixed Point Method for Nonlinear Fractional Differential Equations with Integral Boundary Conditions on Tetramethyl-Butane Graph”, Symmetry 16 (6), 756,
  • Ashish Yadav, Trilok Mathur, Shivi Agarwal, “Complex Order Fractional Differential Equation in Complex Domain with Mixed Boundary Condition”, Chaos, Solitons & Fractals, 185, 115090, 2024.
  • Uday Mittal, Shivam Goyal, Egna Praneeth Gummana, Vinay Chamola, Shivi Agarwal, and Trilok Mathur, “FoodBlock: A Secure and Cost-Optimal Framework for Online Food Ordering Using Blockchain”, Expert Systems, 42(1), e13601. (https://doi.org/10.1111/exsy.13601), 2024.
  • Himanshu Seth, Deepak, N Ruparel, Saurabh Chadha, Shivi Agarwal, “Assessment of Working Capital Management Efficiency: A Two-Stage Slack-Based Measure of Data Envelopment Analysis”, Managerial Finance, 50 (7), 1344-1365, 2024. https://doi.org/10.1108/MF-08-2020-0432.
  • K Bansal, T Mathur, S Agarwal, "Modeling Crime Transmission with Fear Effect: A Fractional-Order Approach for Effective Crime Control Strategies",The Journal of Analysis, 33, 1229–1249, 2024.
  • Ashish Yadav, Trilok Mathur, Shivi Agarwal and Babli Yadav, “Fractional Boundary Value Problem in Complex Domain”, Journal of Mathematical Analysis and Applications526 (1), Article ID 127178, 2023.
  • Neelu Pareek, Komal Bansal, Arvind Gupta, Ruchi Mathur, Trilok Mathur and Shivi Agarwal, “LVIM Approach to Analyze the Fractional Order Model for Childhood Diseases", Journal of Health Management26 (4), 624-631, 2024.
  • Babli Yadav, Trilok Mathur, Shivi Agarwal and Ashish Yadav, "Fractional Differential Equation with Movable Boundary Conditions",Journal of Interdisciplinary Mathematics, 27(1), 2024 (https://doi.org/10.47974/JIM-1817).
  • Babli Yadav, Trilok Mathur, Shivi Agarwal and Ashish Yadav, "Deformable Derivative in Complex Domain",The Journal of Analysis, 32, 2024 (https://doi.org/10.1007/s41478-024-00729-0).
  • Komal Bansal, Tripti Mathur, Trilok Mathur, Shivi Agarwal, Ratna Dixit Sharma, "Impact of Social Media On Academics: A Fractional Order Mathematical Model", International Journal of Modelling and Simulation, 2023. (https://doi.org/10.1080/02286203.2023.2286419).
  • Komal Bansal, Trilok Mathur,Shivi Agarwal, "Fractional-Order Crime Propagation Model with Non-Linear Transmission Rate", Chaos, Solitons & Fractals, 169, 113321, 2023. (https://doi.org/10.1016/j.chaos.2023.113321). 
  • Sugandha Arora, N. S. S. Singh, Divyanshu Singh, Rishi Rakesh Shrivastava, Trilok Mathur, Kamlesh Tiwari and Shivi Agarwal; "Air Quality Prediction Using Fractional Gradient-Based Recurrent Neural Network" Computational Intelligence and Neuroscience, 2022: Article ID 9755422. https://doi.org/10.1155/2022/9755422.
  • Swati Goyal, Shivi Agarwal, N. S. S. Singh, Trilok Mathur andNirbhay Mathur; "Analysis of Hybrid MCDM Methods for the Performance Assessment and Ranking Public Transport Sector: A Case Study", Sustainability, 14(22) 2022, 15110. https://doi.org/10.3390/su142215110.
  • Deepak Mahla, Shivi Agarwal, Gholamreza Amin and Trilok Mathur; "An Inverse Data Envelopment Analysis Model to Consider Ratio Data and Preferences of Decision-Makers",  IMAJournal of Management Mathematics, 34(3), 441-464, 2023,  https://doi.org/10.1093/imaman/dpac009.
  • Komal Bansal, Trilok Mathur, N. S. S. Singh and Shivi Agarwal; "Analysis of Illegal Drug Transmission Model Using Fractional Delay Differential Equations"; AIMS Mathematics, 7(10), 18173-18193, 2022, (doi: 10.3934/math.20221000)
  • Kocherlakota Satya Pritam, Trilok MathurShivi Agarwal, Sanjoy Paul and Ahmed Mulla; "A Novel Methodology for Perception-Based Portfolio Management"; Annals of Operations Research2022(https://doi.org/10.1007/s10479-022-04530-9). 
  • Swati Goyal, Shivi Agarwal and Trilok Mathur; "An Evaluation of the Productivity Change in Public Transport Sector Using DEA-Based Model"; Management Science Letters, 12(2), 125-136, 2022.
  • Sugandha, Trilok MathurShivi Agarwal, Kamlesh Tiwari and Phalguni Gupta; "Applications of Fractional Calculus in Computer Vision: A Survey", Neurocomputing,489(7), 407-428, 2022. (https://authors.elsevier.com/c/1esKG3INukKfLc)
  • Komal Bansal, P. Satya, Sugandha, Trilok Mathur and Shivi Agarwal; "Dynamics of Crime Transmission Using Fractional Order Differential Equations", Fractals30(1), 2022. (https://doi.org/10.1142/S0218348X22500128)
  • Deepak Mahala, Shivi Agarwal and Trilok Mathur; "A Novel Fuzzy Non-Radial Data Envelopment Analysis: An Application in Transportation", RAIRO-Operations Research, 55(4), 2189-2202, 2021. (https://doi.org/10.1051/ro/2021097)
  • Deepak, Shivi Agarwal, "A Credibility Approach on Fuzzy Slacks Based Measure (SBM) Model", Iranian Journal of Fuzzy Systems, 18(3), 39-49, 2021.
  • Deepak, Shivi Agarwal, "A Fuzzy DEA Approach on the Extended Transportation Problem", International Journal of Mathematics in Operational Research, 20(3), 385-401, 2021.
  • P. Satya, Sugandha, Trilok Mathur and Shivi Agarwal; "Underlying Dynamics of Crime Transmission with Memory", Chaos, Solitons and Fractals,146, 110838, 2021.
  • Shivi Agarwal and Trilok Mathur; "A Benchmarking Approach with Missing Values Using Data Envelopment Analysis for Non-Symmetrical Fuzzy Data", Solid State Technology, 63(6), 4046-4051, 2020.
  • Trilok Mathur, Shivi Agarwal, Srikanta Routroy and Akshat Khandelwal; "A DEA Model for Systematic Screening of Sustainable Suppliers with Uncertainty", Solid State Technology,63(6), 4106-4111, 2020.
  • P. Satya, Trilok Mathur, Shivi Agarwal and H. D. Mathur; "New Fractional PID-Controller to Mitigate Frequency Variations in Power Systems", Mathematics in Engineering, Science and Aerospace11(2), 333-346, 2020.
  • Shivi Agarwal and Trilok Mathur; "DEA model for Exogenously Fixed variables under Fuzzy Environment", Advances in Intelligent Systems and Computing, 989, 393-404, 2019.
  • Satya, Trilok Mathur and Shivi Agarwal, "Hierarchy of Sectors in BSE SENSEX for Optimal Equity Investments using Fuzzy AHP",Advances in Intelligent Systems and Computing, 989, 895-901, 2019.
  • Satya, Trilok Mathurand Shivi Agarwal, "An Efficient Portfolio Management for Trading Under Uncertain Environment "International Journal of Supply Chain Management, 8(2), 277-283, 2019.
  • Shivi Agarwal, "Scale Efficiency with Fuzzy Data", International Journal of Business and Systems Research, 11 (1-2), 152-162, 2017.
  • Shivi Agarwal, "DEA-Neural Network Approach to Assess the Performance of Public Transport Sector of India", OPSEARCH, 53, 248-258, 2016.
  • Shivi Agarwal,Measure of Efficiency by Fuzzy Data Envelopment Analysis Model”, Fuzzy Information and Engineering, 6, 59-70, 2014,
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “Sensitivity Analysis in Data Envelopment Analysis”, International Journal of Operational Research, 19(2), 174-185, 2014.
  • Shivi Agarwal, " Fuzzy Slack Based Measure of Data Envelopment Analysis: A Possibility Approach",  Advances in Intelligent Systems and Computing, 258, 733-740, 2014. 
  • Shivi Agarwal, "SBM Data Envelopment Analysis in Fuzzy Environment", Mathematical Sciences International Research Journal, 2278-8697, 2014.
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, A New Slack DEA Model to Estimate the Impact of Slacks on the Efficiencies, International Journal of Operational Research, 12(3), 241-256,
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, DEA Based Estimation of the Technical Efficiency of State Transport Undertakings in India”, OPSEARCH, 47 (3), 216-230, 2010.
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, Total Factor Productivity Growth in the State Road Transport Undertakings in India: An Assessment through MPI Approach”, Indian Economic Review, 44(2), 203-223, 2009. 
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “DEA Technique Based Assessment of Efficiencies of the Government Hospitals of Uttaranchal (India)", International Journal of Economic Research, 4(1), 25-42, 2007.
  • P. Singh and Shivi Agarwal, “Total Factor Productivity Growth, Technical Progress and Efficiency Change in Sugar Industry of Uttar Pradesh”, The Indian Economic Journal, 54(2), 59-82, 2006.
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “Assessment of Relative Efficiencies of Private Sector Hospitals in India Using DEA Techniques”, Journal of Mathematics and System Sciences, 2(1), 1-22, 2006,
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “A Data Envelopment Analysis Based Efficiency Assessment of Public Transport Sector of Uttar Pradesh in India”, Indian Journal of Transport Management, 30(1), 5-30, 2006.

Papers published in Conference proceedings (National and International):    

Papers presented in Conferences (National and International):  

  • Swati Goyal, Shivi Agarwal and Trilok Mathur; Total Factor Productivity by NSM DEA-Based MPI Approach”, in International Conference and 22nd Annual Convention of Vijnana Parishad of India on Advances in Operations Research, Statistics, and Mathematics on December 28-30, 2019 at BITS Pilani, Pilani Campus.
  • Shivi Agarwal, Srikanta Routroy and Trilok Mathur; Fuzzy Data Envelopment Analysis Model for Supplier Selection”, International Conference on Measurement of Efficiency and Productivity in Emerging Economies, organized by the Faculty of Economics, South Asian University, New Delhi on December 18-19, 2019.
  • Deepak, P. Satya, Trilok Mathur and Shivi Agarwal; Portfolio Management through Fuzzy Data Envelopment Analysis”, International Conference on Measurement of Efficiency and Productivity in Emerging Economies, organized by the Faculty of Economics, South Asian University, New Delhi on December 18-19, 2019.
  • P. Satya, Trilok Mathur and Shivi Agarwal; Fractional Order Mathematical Modeling of Crime”, in International Conference on Special Functions & Applications (ICSFA-2019) held at Department of Mathematics, University College of Engineering and Technology (A Constituent College of Bikaner Technical University) Bikaner, during October 21-23, 2019.
  • P. Satya, Trilok Mathur and Shivi Agarwal; Fractional Bioheat based, Soft Computing Model for Healing the Tumor”,in International Conference on Special Functions & Applications (ICSFA-2019) held at Department of Mathematics, University College of Engineering and Technology (A Constituent College of Bikaner Technical University) Bikaner, during October 21-23, 2019.
  • Swati Goyal, Shivi Agarwal and Trilok Mathur; Measuring the Efficiency of Depots in Rajasthan using Data Envelopment Analysis”, in International Conference on Business Analytics and Operations Research (ICBAOR) (June 14-16, 2019) at Manipal Academy of Higher Education (MAHE), Manipal, Karnataka.
  • P. Satya, Trilok Mathur and Shivi Agarwal; P-index: Fuzzy Fractional Indicator for the Management of Portfolio”, International Conference on Business Analytics and Operations Research (ICBAOR) (June 14-16, 2019) at Manipal Academy of Higher Education (MAHE), Manipal, Karnataka.
  • P. Satya, Trilok Mathur, Shivi Agarwal and H. D. Mathur; “A New Efficient Fractional Order PID Controller to Minimize Transient Response”, International Conference on Special Functions and Applications, organized by Society of Special function & their Applications from November 02-04, 2017.
  • Trilok Mathur, Shivi Agarwal, Srikant Routroy and Akshat Khandelwal,Study of the Performance of Green Suppliers using Fuzzy Data Envelopment Analysis” Joint Indo-German Conference on Sustainable Engineering 2017, held at BITS Pilani, Pilani Campus India from September 15-16, 2017. 
  • Trilok Mathur and Shivi Agarwal; "Caputo-Type Fuzzy Fractional Riccati Differential Equations with Fuzzy Initial Conditions"; 18th International Conference on Mathematical, Computational and Statistical Sciences and Engineering held at Stockholm Sweden from July 11-12, 2016. 
  • Shivi Agarwal and Trilok Mathur; "Fuzzy Total Factor Productivity by Credibility Theory"; 18th International Conference on Mathematical, Computational and Statistical Sciences and Engineering held at Stockholm Sweden from July 11-12, 2016. 
  • Shivi Agarwal, "Malmquist Productivity Index with Fuzzy Data by Possibility Theory", 20th Asian Technology Conference in Mathematics (ATCM 2015), held at Leshan Normal University, Leshan, China, from December 16-20, 2015.  
  • Shivi Agarwal, "Evaluation of Efficiency and Effectiveness of Public Transport Sector of India using DEA Approach", 13th International Conference on Data Envelopment Analysis, held at Technical University Braunschweig, Germany, from August 24-28, 2015.
  • Shivi Agarwal, "Fuzzy BCC Data Envelopment Analysis: A Credibility Approach", Workshop on Applied Optimization Models and Computation, held at Indian Statistical Institute, Delhi Centre, from January 28-30, 2015. 
  • Shivi Agarwal, "Fuzzy Data Envelopment Analysis Model with Credibility Theory", International Conference on Operational Research, held at S.V. University, Tirupati, AP, from December 01-03, 2014. 
  • Shivi Agarwal, "SBM Data Envelopment Analysis in Fuzzy Environment", International Conference on Mathematics and Engineering Sciences, held at Chitkara University, HP, from March 20-22, 2014.
  • Shivi Agarwal, "Scale Efficiency of Public Transport Sector of India", National Conference on Recent Trends and Developments in Operations Research held at BITS Pilani, Pilani Campus, Pilani, from February 22-23, 2014.
  • Shivi Agarwal, "Fuzzy Data Envelopment Analysis Model: A Possibility Approach", International Conference on Operations Research for Data Analytics and Decision Analysis held at University of Kashmir, Srinagar from October 19-23, 2013.
  • Shivi Agarwal, "Data Envelopment Analysis with Fuzzy Data", International Conference on Applied Analysis and Mathematical Modeling (ICAAMM-2013) held at Yildiz Technical University, Istanbul, Turkey from June 02-05, 2013.
  • Shivi Agarwal and Shiv Prasad Yadav, "Fuzzy BCC Data Envelopment Analysis Model", National Conference on Recent Trends in Operations Research (NCRTOR 2013) held at ASET, New Delhi from April 11-12, 2013.
  • Pranshu Gupta, Shivi Agarwal and Shiv Prasad Yadav, "Scale Efficiency by Fuzzy Data Envelopment Analysis Model", National Conference on Recent Trends in Operations Research (NCRTOR 2013) held at ASET, New Delhi from April 11-12, 2013.
  • Shivi Agarwal, "Efficiency of Public Transport Sector of India by Neural Network”, International Conference on Frontiers of Statistics and its Applications (ICONFROST 2012) held at Pondicherry University, Puducherry, from December  21-23, 2012".
  • Shivi Agarwal, “Fuzzy Slack Based Measure (SBM) of DEA”, International Conference on Optimization Modeling and Applications held at University of Delhi, Delhi, from November 29 to December 01, 2012".
  • Shivi Agarwal, "Estimation of the Efficiency of State Transport Undertakings in India using New Slack DEA Model”, National Conference on Modeling, Computational Fluid Dynamics and Operations Research held at BITS Pilani, Pilani Campus, Pilani, from February 04-05, 2012".
  • Shivi Agarwal, “Fuzzy Slack Based Measure (SBM) of Data Envelopment Analysis Model”, XV Annual International Conference of the Society of Operations Management (SOM) 2011 held at Indian Institute of Management Calcutta, Kolkata, from December 16-18 , 2011".
  • Shivi Agarwal, “Fuzzy Data Envelopment Analysis Model for Efficiency Measure”, International Conference on Advances in Modeling, Optimization and Computing held at Indian Institute of Technology Roorkee, Roorkee, from December 5-7 , 2011".
  • Shivi Agarwal, “Efficiency Measure by Fuzzy Data Envelopment Analysis Model”, IXX International Conference: (IMST 2010-FIM XIX) on Interdisciplinary Mathematical and Statistical Techniques held at Patna University, Patna, from December 18-20 , 2010".
  • Shivi Agarwal, “Sensitivity Analysis in Data Envelopment Analysis”, 40th Annual Convention of Operational Research Society of India, held at JIM, Jaipur from December 06 - 09, 2009.
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “Estimating the Impact of Slacks on Efficiencies: A New Slack DEA Model”, International Conference on Application of Operations Research in Engg. And Management, held at Anna University, Tiruchirappalli from May 27-29, 2009.
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “Measurement of Technical and Scale Efficiencies Using DEA: A Case of Public Transport Sector of India”, 40th Annual Convention of Operational Research Society of India, Delhi Chapter, held at INSA, Delhi from December 04-06, 2007.
  • Shivi Agarwal, Shiv Prasad Yadav and S.P.Singh, “Estimation of the Relative Efficiency of Public Hospitals in Uttaranchal using DEA”,  71st Annual Conference  of Indian Mathematical Society, held at IIT Roorkee from December 26-29, 2005.

Workshop/ Conference Attended (National and International):    

  • Participated in event on Engineering Mathematics with Mathematica, online seminar by Wolfram Research Inc. at 14 February 2013.
  • Participated in FDP workshop on Tools and Techniques in Statistics and Simulation  held at BITS Pilani, Pilani Campus, Pilani from 29-September to 01-October 2011.
  • Participated in workshop on Productivity and Efficiency Analysis  held at CDE, Delhi School of Economics, Delhi from 05th to 07th January 2009.
  • Participated in workshop on Optimization and its Applications held at INSA, Delhi from 29th to 03rd December 2007.
  • Participated in symposium on Current Trends in Biomathematics held at IIT Roorkee on 14th   March 2005.
  • Participated in workshop on Nonlinear Dynamical Model and their Behaviour held at IIT Roorkee from 11th to 13th  March 2005.
  • Participated in workshop and seminar on Optimization and Risk Modelling held at IIT Bombay from 18th to 22nd December 2003.