Dr. Usha Kumari P. V.

Bio Publications Education Experience Research Achievements FDP / Workshops

Bio

Dr. Usha Kumari joined Amrita in 2003. She has 18 years of experience in teaching and research. She received her Ph. D. in Mathematics from Cochin University of Science and Technology in 1997. She has an M. Phil. in Statistics from Kerala University. She has qualified CSIR-UGC JRF. Her field of interests include Probability Theory, Stochastic Processes, Operations Research and Statistics.

Dr. Usha is a member of Undergraduate Board of Studies and Board of Studies of Integrated M. Sc. in Mathematics and Physics at Amrita. She has 20 international publications to her credit and 4 papers published in the proceedings and has conducted two national-level workshops, one on Stochastic Processes in 2008 which was sponsored by National Board for Higher Mathematics, and another on Linear Algebra in 2005. She has served as a referee for the Journal of Applied Mathematics & Stochastic Analysis, the Asia Pacific Journal of Operational Research, and the International Journal of Information & Management Systems. She has also presented papers at many international conferences and has been invited to deliver numerous talks.

Dr. Usha ’s academic career started at Union Christian College where she was a lecturer from 1995 to 1998. She subsequently worked as a Research Associate at the Indian Institute of Science, Bangalore (1998-1999) and at Cochin University of Science and Technology (1999-2003) prior to joining Amrita.

Publications

Journal Article
Conference Paper
Conference Proceedings

Journal Article

Year : 2024

k-Out-of-n system with repair under single/bulk service

Cite this Research Publication : P.V.Ushakumari, k-Out-of-n system with repair under single/bulk service, Degres Journal, Volume 9, Issue 7, 2024, ISSN NO:0376-8163

Publisher : Degres Journal

Year : 2023

Two commodity perishable queueing inventory systems with random common lifetime of commodities and positive lead time

Cite this Research Publication : Dissa, S., Ushakumari, P.V. Two commodity perishable queueing inventory system with random common lifetime of commodities and positive lead time. OPSEARCH (2023). https://doi.org/10.1007/s12597-023-00707-3

Publisher : SpringerLink

Year : 2023

Two commodity queueing inventory system with random common lifetime, two demand classes and pool of customers

Cite this Research Publication : S. Dissa, P.V. Ushakumari, Two commodity queueing inventory system with random common lifetime, two demand classes and pool of customers, Heliyon 9, 2023

Year : 2022

Application of Queueing Model to an Outpatient Flow in a Multi-Speciality Hospital

Cite this Research Publication : G Sreelekshmi, GS Kumar, PV Ushakumari, Application of Queueing Model to an Outpatient Flow in a Multi-Speciality Hospital, Journal of Pharmaceutical Negative Results, 332-337, 2022.

Year : 2021

On a Two Server Reliability System with One Server Idle Below a Threshold

Cite this Research Publication : Dr. Usha Kumari P. V., “On a Two Server Reliability System with One Server Idle Below a Threshold”, International Journal of Mathematics in Operational Research (IJMOR), vol. 18, no. 4, 2021.

Publisher : International Journal of Mathematics in Operational Research

Year : 2020

Optimal Server Time Management in a Single Server Queue

Cite this Research Publication : Dr. Usha Kumari P. V. and S Krishna, D., “Optimal Server Time Management in a Single Server Queue”, International Journal of Advanced Research in Engineering and Technology, vol. 11, no. 6, 2020.

Publisher : International Journal of Advanced Research in Engineering and Technology

Year : 2020

A stochastic inventory system with two modes of service under N-policy

Cite this Research Publication : Dr. Usha Kumari P. V., “A stochastic inventory system with two modes of service under N-policy”, Journal of Interdisciplinary Mathematics, vol. 23, no. 1, pp. 127–143, 2020.

Publisher : Journal of Interdisciplinary Mathematics, Taylor & Francis

Year : 2020

Queue size estimation of nodes in a heterogeneous ocean network with multiple priority traffic

Cite this Research Publication : Simi Surendran, Dr. Maneesha V. Ramesh, and Dr. Usha Kumari P. V., “Queue size estimation of nodes in a heterogeneous ocean network with multiple priority traffic”, International Journal of Vehicle Information and Communication Systems, vol. 5, no. 1, pp. 26–40, 2020.

Publisher : International Journal of Vehicle Information and Communication Systems, Inderscience Publishers (IEL)

Year : 2020

Routing Problem In Transportation Of Milk In A Diary-A Case Study

Cite this Research Publication : S. R., Sathidevi C., and Dr. Usha Kumari P. V., “Routing Problem In Transportation Of Milk In A Diary-A Case Study”, International journal of Scientific & Technology Research, vol. 9, no. 3, 2020.

Publisher : International journal of Scientific & Technology Research

Year : 2018

Reliability of k out of- n system with repair and Two modes of service under N-policy

Cite this Research Publication : Dr. Usha Kumari P. V., “Reliability of k out of- n system with repair and Two modes of service under N-policy”, International Journal of Pure and Applied Mathematic, vol. 119, no. 16, pp. 5189-5196, 2018.

Publisher : International Journal of Pure and Applied Mathematic

Year : 2017

A retrial inventory system with an unreliable server

Cite this Research Publication : Dr. Usha Kumari P. V., “A retrial inventory system with an unreliable server”, Int. J. Mathematics in Operational Research, vol. 10, no. 2 , 2017.

Publisher : Int. J. Mathematics in Operational Research

Year : 2017

Energy Efficient Data Acquisition Techniques Using Context Aware Sensing for Landslide Monitoring Systems

Cite this Research Publication : P. Rekha, Dr. Maneesha V. Ramesh, P. Venkat Rangan, Dr. Usha Kumari P. V., and Hemalatha, T., “Energy Efficient Data Acquisition Techniques Using Context Aware Sensing for Landslide Monitoring Systems”, IEEE Sensors Journal, vol. 17, pp. 6006-6018, 2017

Publisher : IEEE Sensors Journal.

Year : 2016

Energy Sustenance in Context Aware Landslide Monitoring systems

Cite this Research Publication : P. Rekha, Dr. Maneesha V. Ramesh, Dr. Usha Kumari P. V., and P. Venkat Rangan, “Energy Sustenance in Context Aware Landslide Monitoring systems”, Sensys 2015, InfoComm2016, 2016.

Publisher : Sensys 2015, InfoComm2016.

Year : 2007

On (s, S) inventory system with random lead time and repeated demands

Cite this Research Publication : Dr. Usha Kumari P. V., “On (s, S) inventory system with random lead time and repeated demands”, International Journal of Stochastic Analysis, vol. 2006, pp. 1-22, 2007.

Publisher : International Journal of Stochastic Analysis

Year : 2004

k-out-of-n-system with repair: The Max (N, T) Policy

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “k-out-of-n-system with repair: The Max (N, T) Policy”, Performance Evaluation, vol. 57, no. 2, pp. 221–234, 2004.

Publisher : Elsevier

Year : 2002

k-out-of-n-system with repair: The N-policy

Cite this Research Publication : A. Krishnamoorthy, Dr. Usha Kumari P. V., and Lakshmy, B., “k-out-of-n-system with repair: The N-policy”, Asia Pacific Journal of Operational Research, vol. 19, pp. 47–62, 2002.

Publisher : NATIONAL UNIVERSITY OF SINGAPORE

Year : 2002

GI/M/1/1 queue with finite retrials and finite orbits

Cite this Research Publication : A. Krishnamoorthy and Dr. Usha Kumari P. V., “GI/M/1/1 queue with finite retrials and finite orbits”, stochastic analysis and applications, vol. 20, no. 2, pp. 357–374, 2002.

Publisher : Taylor & Francis

Year : 2001

k-out-of-n: G system with repair: the D-policy

Cite this Research Publication : A. Krishnamoorthy and Dr. Usha Kumari P. V., “k-out-of-n: G system with repair: the D-policy”, Int.Jl. of Computers and Operations Research, vol. 28, no. 10, pp. 973 - 981, 2001.

Publisher : Int.Jl. of Computers and Operations Research, Pergamon Press

Year : 2001

A k-out-of-n reliability system with an unreliable server and phase type repairs and services: the (N, T) policy

Cite this Research Publication : S. R. Chakravarthy, Krishnamoorthy, A., and Dr. Usha Kumari P. V., “A k-out-of-n reliability system with an unreliable server and phase type repairs and services: the (N, T) policy”, Journal of Applied Mathematics and Stochastic Analysis, vol. 14, pp. 361–380, 2001.

Publisher : International Journal of Stochastic Analysis

Year : 2000

Single arrival bulk service single departure queue

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “Single arrival bulk service single departure queue”, Mathematical and Computer Modeling, vol. 31, pp. 99-108, 2000.

Publisher : Mathematical and Computer Modeling,

Year : 2000

Queues with customers requiring random number of servers

Cite this Research Publication : A. Krishnamoorthy and Dr. Usha Kumari P. V., “Queues with customers requiring random number of servers”, IAPQR TRANSACTIONS, vol. 25, pp. 97–106, 2000.

Publisher : IAPQR TRANSACTIONS, INDIAN ASSOCIATION FOR PRODUCTIVITY, QUALITY & RELIABILITY

Year : 2000

A queueing system with single arrival bulk service and single departure

Publisher : Bull. Of Pure and Applied Sciences

Year : 1994

On an Infinite Server Queue

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “On an Infinite Server Queue”, Opsearch, vol. 31, pp. 240–240, 1994.

Publisher : OPSEARCH

Conference Paper

Year : 2024

Comparative Study of Performances of Banks Using Markov Chain Model and LSTM

Cite this Research Publication : Shankar, A.G., Anjali, S and Ushakumari, P.V., Comparative Study of Performances of Banks Using Markov Chain Model and LSTM, 4th International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies, ICAECT 2024, IEEE

Publisher : IEEE

Year : 2021

Application of Queuing Theory to a Railway ticket window

Cite this Research Publication : A. M. Nair, Sreelatha K. S., and Dr. Usha Kumari P. V., “Application of Queuing Theory to a Railway ticket window”, in 2021 International Conference on Innovative Practices in Technology and Management (ICIPTM), 2021.

Publisher : 2021 International Conference on Innovative Practices in Technology and Management (ICIPTM)

Year : 2014

A retrial Inventory system with an unreliable server

Cite this Research Publication : Dr. Usha Kumari P. V., “A retrial Inventory system with an unreliable server”, in International Conference on Operational Research, Sri Venkateswara University,Tirupati, A.P, 2014.

Publisher : International Conference on Operational Research

Year : 2008

Threshold Based Data Aggregation Algorithm to Detect Rainfall in land Slide

Cite this Research Publication : Dr. Usha Kumari P. V., “ Threshold Based Data Aggregation Algorithm to Detect Rainfall in land Slide”, international Conference on Wireless Networks, vol. 1. pp. 255-261, 2008.

Publisher : international Conference on Wireless Networks

Year : 2008

Threshold Based Data Aggregation Algorithm to Detect Rainfall Induced Landslides

Cite this Research Publication : Dr. Maneesha V. Ramesh and Dr. Usha Kumari P. V., “Threshold Based Data Aggregation Algorithm to Detect Rainfall Induced Landslides”, in Proceedings of the 2008 International Conference on Wireless Networks (ICWN’08), 2008, pp. 255-261.

Publisher : Proceedings of the 2008 International Conference on Wireless Networks (ICWN’08).

Year : 2000

Single arrival bulk service single departure queue

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “Single arrival bulk service single departure queue”, in Proceedings of the Int. Conference on Stochastic Processes and their Applications, Anna University, Madras, 2000.

Publisher : Anna University, Madras

Year : 1998

k-out-of-n system with general repair, The N–policy

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “k-out-of-n system with general repair, The N–policy”, in Proc. II International Symposium on Semi-Markov Processes and their Applications, Compiegne, France, 1998.

Publisher : Compiegne

Year : 1995

On the queueing system MD/GD/ ∞

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “On the queueing system MD/GD/ ∞”, in International Conference on Stochastic Process and Computer Applications., PSG College of Technology, Coimbatore, 1995.

Publisher : PSG College of Technology, Coimbatore

Year : 1994

On an infinite server queue in discrete time

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “On an infinite server queue in discrete time”, in 3rd Ramanujam symp. On stochastic processes and their applications, Ramanujan instituterMadras, 1994.

Publisher : Ramanujan institute Madras

Year : 1994

On the GIX(u) /G/ α queue

Cite this Research Publication : Dr. Usha Kumari P. V. and Krishnamoorthy, A., “On the GIX(u) /G/ α queue”, in 3rd Ramanujam Symp. On Stochastic Processes and their Applications, Ramamijan institute, Madras, 1994.

Publisher : Ramamijan institute, Madras

Conference Proceedings

Year : 2008

Threshold Based Data Aggregation Algorithm to Detect Rainfall in land Slide

Publisher : international Conference on Wireless Networks

Education

Cochin University of Science and Technology, Cochin	Ph.D.	1997	Probability theory, Stochastic processes and Operations Research
University of Kerala	MPhil	1992	Statistics
University of Kerala	MSc	1989	Statistics
University of Kerala	BSc	1987	Statistics

Experience

University / College	Designation	Period
U.C. College, Aluva	Lecturer	1995 Aug.- 1998 March
Cochin University of Science and Tech.	Guest faculty in the Under Graduate Studies in Engineering	April 1998-Aug.1998
Indian Institute of Science, Bangalore	Research Associate	1998 Aug- 1999Apr.
Cochin University of Science and Tech.	Research Associate	1999May-2003 May
Amrita Vishwa Vidyapeetham, Amritapuri Campus	Lecturer	2003 June-2004 May
Amrita Vishwa Vidyapeetham, Amritapuri Campus	Senior Lecturer	2004 June –2005 October
Amrita Vishwa Vidyapeetham, Amritapuri Campus	Assistant Professor	2005 November-2007 June
Amrita Vishwa Vidyapeetham, Amritapuri Campus	Associate Professor	2007 July-2019 June
Amrita Vishwa Vidyapeetham, Amritapuri Campus	Professor	2019 July-till date

Positions held at Amrita Vishwa Vidyapeetham

Chairperson, Department of Mathematics,2003-2009, 2019-2024 at Amrita Vishwa Vidyapeetham, Amritapuri Campus.
Course coordinator for the I year B. Tech.
Member, Board of studies in Mathematics, Board of studies of WNA.

Research

Research Grants

AMRITA Seed Grant approval for the project titled ‘Stochastic Modelling and Analysis of Connectivity Reliability in 6G IoT Networks using k –out of- n systems, Sanction order : ASG2022109 for the duration of TWO years.

Research Talks Delivered

V. Ushakumari and A. Krishnamoorthy(1994) On the GI ^X(u)/G/ ¥ queue, published in the proceedings of the 3 ^rdRamanujam symp. On stochastic processes and their applications, Ramanujan institute, Madras.
P.V. Ushakumari and A. Krishnamoorthy(1995) On the queueing system M _D/G _D/ ¥ Published in the proceedings of the International conference on Stochastic processes, OR and computer applications, PSG College of Technology., Coimbatore.
P.V. Ushakumari (1995) On the queueing system M _D^X/G _D/ ¥ , ISPS, M.S.University.,Tirunelveli
On the GI/M/ 1 retrial queue with finite orbits and finite retrials, Int.Conf. on stochastic processes, Anna Univ., Madras.
P.V. Ushakumari and A. Krishnamoorthy (2000) Queue with customers requiring random number of servers, National Conf. On Statistics and OR, Mangalore univ. Mangalore.
A. Krishnamoorthy and P.V. Ushakumari (1998) A k-out- of – n system with repair under (L, N) policy, National Conference on Applied Statistics and OR, Nagpur Univ., Nagpur.
P.V. Ushakumari and A. Krishnamoorthy (2001) k-out-of-n-system with repair under D-policy, International conf. On OR for a better tomorrow, Delhi University, Delhi.
International Conf. On Stochastic processes, Cochin University if Science and Technology, Cochin, Dec.1996.
International Conf. On Stochastic processes, Cochin University if Science and Technology, Cochin, Dec.1999.
International Conf. On Stochastic processes, Cochin University if Science and Technology, Cochin, Dec.2000.
International Conf. On Stochastic processes, Cochin University if Science and Technology, Cochin, Dec.2002.
(s, S) inventory system with random lead time and Repeated requests presented in International Conference on Operations Research and Infrastructure development in conjunction with the annual conference of operations Research Society of India heldat IISc, Bangalore during Dec 27-29, 2005.
Reliability of 𝑘 out of- 𝑛 system with repair and Two modes of service under N-policy, P.V. Ushakumari, 3rd National Conference on Reliability and Safety (NCRS-2016), December 1-3, 2016 jointly organized by the Department of Mathematics, SSN College of Engineering & Society for Reliability and Safety (SRESA), Mumbai (Chennai Chapter)
A retrial inventory system with an unreliable server, P.V. Ushakumari, International conference on Operations Research (Theme: Big data analytics), S. V. University, Tirupati, December 1-3, 2014, jointly organized by the department of Statistics, S.V. University, Tirupati and Operations Research Society of India(ORSI), Tirupati Chapter.

Invited Talks Delivered

Invited talk given on (s, S) inventory systems with retrials in the IISA International conference on Statistics and Probability theory held at Cochin on January 2-5, 2007
Resource Person for the Faculty Development Programme on “Machine Learning with R” (TEQIP II sponsored) from 9th – 15th January 2018, TKM College of Engineering Kollam, Kerala

Achievements

Membership

Life member, Indian Society for Probability and Statistics
Life Member, Kerala Mathematical Association

Awards

CSIR-UGC –JRF (1992)
CSIR-UGC –SRF (1994)
CSIR –RA (1999)

FDP / Workshops

Intensive Workshop on LINEAR ALGEBRA, December 6 – 11, 2005, Amrita Vishwa Vidyapeetham, Amritapuri Campus.
Workshop on STOCHASTIC PROCESSES, December 19 – 22, 2008, Sponsored by National Board for Higher Mathematics (NBHM), Amrita Vishwa Vidyapeetham, Amritapuri Campus.
LECTURE WORKSHOP ON “MATHEMATICAL ANALYSIS” JUNE 20-22, 2011, Sponsored by Indian Academy of Sciences, Bangalore, the National Academy of Sciences India, Allahabad and Indian National Science Academy, New Delhi, Amrita Vishwa Vidyapeetham, Amritapuri Campus.
Workshop on Sage Math, February 15-16, 2019, Amrita Vishwa Vidyapeetham, Amritapuri Campus
One-day Workshop on MULTIVARIATE DATA ANALYSIS: CONCEPTS AND DATA CONSIDERATIONS, 6 ^thMarch 2020, Amrita Vishwa Vidyapeetham, Amritapuri Campus.
KSoM Talent Nurture Programme hosted by Amrita Vishwa Vidyapeetham, Amritapuri Campus during 26-31, December 2019.
Two-Day Workshop on  Kerala School of Mathematics and Astronomy 20-21, March 2023, Amrita Vishwa Vidyapeetham, Amritapuri Campus.
Organised National Mathematics Day Celebrations, 22 ^ndDecember 2022.

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