American Journal of Operational Research

American Journal of Operational Research publishes high quality scientific papers that contribute significantly to the fields of operational research. Articles present new theoretical insights and developments, as well as real-world case studies illustrating the practical implementation of operational research.

Rakesh Kumar

Editorial Board Member of American Journal of Operational Research

Assistant Professor, School of Mathematics, Shri Mata Vaishno Devi University, Katra, India

Research Areas

Queuing Theory

Education

2006Ph. D.Statistics (Queuing Theory), Kurukshetra University, Kurukshetra, Haryana, India.
2002M.Sc.Statistics, Kurukshetra University, Kurukshetra, Haryana, India.
1998B.Sc.Mathematics, Himachal Pradesh University, Shimla, Himachal Pradesh, India.

Experience

2009-presentAssistant Professor, Shri Mata Vaishno Devi University, Katra, India.
2007-2009Senior Lecturer (QT/OR), Hindustan Institute of Management, Sharda Group of Institutions, Greater Noida, UP, India.
2006-2007Lecturer (QT), Amity Business School, Amity University, Noida, UP, India.
2005-2006Junior Faculty Member (QT/OM), ICFAI National College, Meerut, UP, India.

Academic Achievement

University Research Scholarship awarded by Kurukshetra University, Kurukshetra, Haryana, India for Ph.D. in Statistics & operational Research (2002-2005).
University Medal awarded for being first-class-first in M.Sc. Statistics by Kurukshetra University, Kurukshetra, Haryana, India.

Membership

International Indian Statistical Association, Life Member
Indian Society for Probability and Statistics, Life Member
Indian Statistical Institute, Member
IAENG Society for Operational Research, Life Member
Indian Institute for Insurance, Delhi, Life Member

Publications: Journals

[1]  Rakesh Kumar and Sumeet Kumar Sharma, M/M/1/N queuing system with retention of reneged customers, Pakistan Journal of Statistics and Operation Research, Vol. 8, No. 4, (2012) 859-866.
[2]  Rakesh Kumar, A Catastrophic-cum-restorative queuing problem with correlated input and impatient customers, International Journal of Agile Systems and Management, Vol.5, No.1, (2012) 122-131.
[3]  Rakesh Kumar, A catastrophic-cum-restorative queuing system with correlated batch arrivals and general service time distribution, Pakistan Journal of Statistics and Operation Research, Vol. 8, No. 1, (2012) 43-53.
[4]  Rakesh Kumar and Sumeet Kumar Sharma, Selection of spoilage prevention strategies in supply chains using queuing-theoretic approach, Arth Anvesan (2012), In Press.
[5]  Rakesh Kumar and Sumeet Kumar Sharma, An M / M / 1 / N Queuing Model with Retention of reneged customers and Balking, American Journal of Operational Research, Vol. 2, No. 1, (2012) 1-5.
[6]  Rakesh Kumar and Sumeet Kumar Sharma, Managing congestion and revenue generation in supply chains facing customer impatience, Inventi Impact: Supply Chain and Logistics Vol. 2012 No. 1, (2012) 13-17.
[7]  Rakesh Kumar and Sumeet Kumar Sharma, Formulation of product replacement policies for perishable inventory systems using queuing theoretic approach, American Journal of Operational Research, Vol. 2 No. 4, (2012), 27-30.
[8]  Rakesh Kumar and Sumeet Kumar Sharma, Economic analysis of M / M / c / N queue with retention of impatient customers, International Journal of Mathematics in Operations Research, In Press.
[9]  Rakesh Kumar and Sumeet Kumar Sharma, Product replacement strategies for perishable inventory systems using queuing theory, Journal of Production Research and Management, Vol. 2, No. 3, (2012) 18-25.
[10]  Sumeet Kumar Sharma and Rakesh Kumar, A Markovian feedback queue with retention of reneged customers, AMO-Advanced Modelling and Optimization, Vol. 14, No.3, (2012) 673-679.
[11]  Sumeet Kumar Sharma and Rakesh Kumar, A Markovian feedback queue with retention of reneged customers and balking, AMO-Advanced Modelling and Optimization, Vol. 14, No.3, (2012), 681-688.
[12]  Rakesh Kumar and Sumeet Kumar Sharma, A multi-server Markovian queueing system with discouraged arrivals and retention of reneged customers, International Journal of Operations Research, In press (2012).
[13]  Rakesh Kumar and Sumeet Kumar Sharma, Queuing with retention of reneged customers, International Journal of Mathematical Models and Methods in Applied Sciences, Vol. 6, No. 7, (2012) 819-828.
[14]  Rakesh Kumar and Sumeet Kumar Sharma, Economic analysis of an M / M / c / N queuing model with balking, reneging and retention of reneged customers, Opsearch, In Press, 2012.
[15]  Rakesh Kumar and Sumeet Kumar Sharma, An M / M / c / N queuing system with reneging and retention of reneged customers, International Journal of Operational Research, In Press, 2012.
[16]  Rakesh Kumar and Sumeet Kumar Sharma, A Markovian multi-server queuing model with retention of reneged customers and balking, International Journal of Operational Research, In Press, 2012.
[17]  Rakesh Kumar, Modeling queuing phenomenon at petrol pumps-a case study of Bharat Petroleum, Accman Journal of Management, Vol.4, No. 1 (2012) 41-48.
[18]  Rakesh Kumar, Rajiv Kumar and V. K. Sehgal, Time-Dependent solution of a queuing system with correlated bulk arrivals, catastrophe and restoration, American Journal of Operational Research, Vol.1, No.1, (2011), 1-4.
[19]  Rakesh Kumar, Steady state solution of a catastrophic- cum-restorative m/g/1 queuing system using supplementary variable technique, Applied Mathematics, Vol.1, No.2, (2011), 62-64.
[20]  Rakesh Kumar, Operations Research in energy management-a case of Shri Mata Vaishno Devi University, Inventi Rapid: Energy & Power , Vol. 2011 , Article ID- " Inventi:eep/36/11 " , 2011
[21]  Rakesh Kumar, Transient solution of a catastrophic-cum-restorative M/M/2 queue with heterogeneous servers, Pakistan Journal of Statistics, Vol. 26, No.4 (2010) 609-613.
[22]  Rakesh Kumar, A catastrophic queuing system with correlated input and general service time distribution, Journal of Ravishankar University-B, Vol. 21-23, No.1, (2010) 10-18.
[23]  Rakesh Kumar, A linear programming model for determining the optimal water usage for residential purposes, Inventi Rapid: Water and Environment, Vol. 2010, Issue1, 2010.
[24]  Rakesh Kumar, Operations Research applications in health care, Accman Journal of Management Sciences, Vol.2, No. 1 (2010) 67-74.
[25]  Rakesh Kumar, An analysis of a non-Markovian queuing network model with correlated allocation using simulation technique, ASOR (Australian Society for Operations Research) Bulletin, Vol.28, No.4, (2009) 28-37.
[26]  Rakesh Kumar, A catastrophic-cum-restorative queuing model with correlated input for the cell traffic generated by new broadband services, African Journal of Mathematics and Computer Science Research, Vol. 2, No.10, (2009) 225-229.
[27]  Rakesh Kumar and Bhupender Kumar Som, Some catastrophic queuing systems, Accman Journal of Management Science, Vol.1, No. 2 (2009) 61-64.
[28]  Rakesh Kumar and Nuzhat Khan, Transportation decisions in infrastructural projects and role of Operations Research, Accman Journal of Management Sciences, Vol.1, No.2 (2009) 65-68.
[29]  Rakesh Kumar, Operations Research application in managing construction projects, Proceedings of National Conference on Advanced Manufacturing Techniques (November 5-6, 2009), SMVDU, Katra, India, 145-151.
[30]  Rakesh Kumar and Nuzhat Khan, Customer service and queues at Big-Bazzar, Accman Journal of Management Sciences, Vol.1, No.2 (2009) 107-112.
[31]  Rakesh Kumar, A catastrophic-cum-restorative queuing system with correlated batch arrivals and variable capacity, Pakistan Journal of Statistics and Operations Research, Vol. 4, No.2 (2008) 55-62.
[32]  N. K. Jain and Rakesh Kumar, Transient solution of a catastrophic-cum- restorative queuing problem with correlated arrivals and variable service capacity, International Journal of Information and Management Sciences, Vol. 18, No. 4 (2007) 461-465.
[33]  N. K. Jain and Rakesh Kumar, A two-step non-Markovian queuing network model with correlated allocation, International Journal of Information and Computing Science, Vol. 9, No. 1, (2006) 79-84.
[34]  N. K. Jain and Rakesh Kumar, A catastrophic queuing system with correlated batch arrivals and variable service capacity, Bulletin of Pure and Applied Sciences, Vol. 25, No.1 (2006) 97-104.
[35]  N. K. Jain and Rakesh Kumar, Transient solution of M/M/1queue with catastrophes using simulation technique, Journal of Ravishankar University, Vol. 19, No. B (Science) (2006), 69-72.
[36]  N. K. Jain and Rakesh Kumar, A catastrophic queuing model with correlated input for the cell traffic generated by new broadband services, Indian Journal of Mathematics and Mathematical Sciences , Vol. 1, No. 2 (2005) 99-108.
[37]  N. K. Jain and Rakesh Kumar, M/G/1 queue with catastrophes, Indian Journal of Mathematics and Mathematical Sciences, Vol. 1, No. 1, (2005) 45-50.

Publications: Conferences/Workshops/Symposiums

[1]  Attended a National Seminar on Strategic Dimensions of Value Chain for Sustainable Development, at College of Management, SMVD University, Katra on 1st September 2012 and presented the paper tittled ‘Selection of Spoilage Prevention Strategies in Supply Chains Using Queuing-Theoretic Approach’.
[2]  Attended a National Conference on Mathematical Analysis and Modelling, at SRM University, Modinagar, Ghaziabad, March 30-31, 2012 and presented the paper titled ‘A Markovian Queuing Model for Retention of Impatient Customers’.
[3]  Attended an AICTE Sponsored Seminar on Applications of Mathematics in Engineering Sciences, N.C. College of Engineering, Panipat, March 17, 2012 and presented the paper titled ‘An M/M/1/N queuing model with retention of reneged customers and balking’.
[4]  Attended the 44th Annual Convention of Operational Research Society of India (ORSI- 2011) & an International Conference on Operations Research for Sustainable Development in Globalized Environment at Calcutta Business School, Diamond Harbour Road, Bishnupur, West Bengal, January 6-8, 2012 and presented the paper titled ‘Time-dependent solution of a queuing system with correlated bulk arrivals, catastrophe and restoration’.
[5]  Attended the 43rd Annual Convention of Operational Research Society of India & an International Conference on Operations Research for Urban and Rural Development, Thiagarajar College of Engineering, Madurai, December 15-17, 2010 and presented the papers titled ‘Operations Research in Energy Management-A case of Shri Mata Vaishno Devi University’ and the second ‘ A Catastrophic-cum-Restorative Queuing Problem with Correlated Input and Impatient Customers’.
[6]  Attended a National Conference on Advanced Manufacturing Techniques (NCAMT2009) at Shri Mata Vaishno Devi University, Katra (J&K) November 5-6, 2009 and presented the paper titled ‘Operations Research Application in Managing Construction Projects’.
[7]  Attended the 3rd National Conference on Management Science and Practice, IIM Ahmadabad 22-24 March, 2008 and presented the paper titled ‘Transient Solution of a Catastrophic-cum-Restorative M/M/2 Queue with Heterogeneous Servers’.
[8]  Attended the 10th Annual International Conference of Society of Operations Management, IIM Ahmedabad, 21-23 Dec 2006 and presented the paper titled ‘Some Catastrophic Queuing Systems’.
[9]  Attended a National Conference on Management Science and Practice, IIM Ahmadabad, 31st March-1st April, 2006 and presented the paper titled ‘A catastrophic-cum- restorative queuing model with correlated input for the cell traffic generated by new broadband services’.
[10]  Attended the 7th Annual conference of Indian Society of Information Theory and Applications, Malout, Punjab from 26-28 March, 2005 and presented the paper titled ‘A catastrophic queuing model with correlated input for the cell traffic generated by new broadband services’.
[11]  Attended the 37th Annual Convention of Operations Research Society of India (ORSI), IIM- Ahmedabad, 8-11 January, 2005 and presented the paper titled ‘A two-step non-Markovian queuing network model with correlated allocation’.
[12]  Attended the 3rd Global Leadership Summit, Amity Business School, Amity University, Noida, November, 12-14, 2006, and presented the paper titled ‘A Catastrophic Queuing System with Correlated batch Input’.
[13]  Attended the 91st Indian Science Congress, Punjab University, Chandigarh, 3-7 January, 2004.