Photograph Name Dr RATNESH R SAXENA
Email Id ratnesh65@gmail.com Date Of Join
Designation Associate Professor Mobile No 9910100961
Address
Web Page
Educational Qualifications
Degree Institution Year
Ph.D. Dept. of Mathematics, University of Delhi, India. Title: " On some Aspects of Multi-objective Set Covering and Fixed Charge Problems" 2001
M.Phil. Mathematics Dept. of Mathematics, University of Delhi,India. Title:"A Study of Parametric Analysis in Mathematical Programming" 1990
M.Sc. Mathematics Hansraj College, University of Delhi 1988
B.Sc.(H) Mathematics S.G.T.B.Khalsa College, University of Delhi 1986
Career Profile

Total Teaching Experience: 26+ years ( Amended November- 2018)

1991-till date:

Department of Mathematics D.D.U. College, University of Delhi,  India

At Present working as Associate Professor, since 2001, Duties involve: Teaching various courses to under-graduate students majoring in Mathematics, Preparing and evaluating assignments and counseling the students

1989-1991:

S.G.T.B. Khalsa College, University of Delhi, Delhi, India

Worked as a Lecturer, Department of Mathematics

1989:

Indian Institute of Technology, Delhi, India

Worked as a Senior Research Assistant in a Project sponsored by the Department of Science and Technology, Government of India

Visiting Faculty/Counselor

  • Dept. of Mathematics, University of Delhi, India. (M.A./M.Sc. Classes)  2008-2013
  • School of Comp. & Syst. Sc., Jawaharlal Nehru University,(MCA Classes) 2007-09
  • Indira Gandhi National Open University, India (MBA Course Classes) 1994-2007

 

Administrative Assignments

2017-18

Teacher in-Charge of the Department of Mathematics of  D.D.U. College (D.U), Convener Academic Development Committee of the College

2016-17

 Teacher in-Charge of the Department of Mathematics of  D.D.U. College (D.U)

2015-16

Secretary: Staff Council,  Committee Member: Research Committee,  Time Table  Committee, D.D.U. College (D.U.)

2014-15

Secretary: Staff Council, Coordinator Admission Committee, Member: Research Committee, D.D.U. College (D.U.)

2013-14

 Coordinator: Foundation Courses FYUP,

Convener:  Course Committee- Differential Equation-FYUP-DU,  Time Table Committee- D.D.U. College, (D.U)

2012-13

 Member: Time Table committee - D.D.U. College, (D.U)

2009-10

 Vice Principal, Admission Coordinator: D.D.U. College, (D.U.)

1994-98

 Teacher in-Charge of the Department of Mathematics of  D.D.U. College, (D.U)

*    Examiner/Evaluator for the bachelor/master degree University Examinations since 1994. 

Areas of Interest / Specialization
  • Technique formulation for the solutions of Single and Multi-objective Linear and Non-Linear Set Covering, Set Partitioning and Set Packing Problems,
  • Fuzzy Mathematical Programming Problems,
  • Portfolio-Optimization
Subjects Taught
  •  Calculus                   :        B.Sc.(h)  Mathematics 1st semester
  • LPP & Game Theory :        B.Sc.(h) Mathematics 6th semester
  • Differential Equation  :       B.Sc.(h)  Mathematics 2nd  semester

 

Research Guidance
  • Independent Supervision of M.Phil. Program   in the subject of Mathematical Programming               

Completed -03   Under process- 01

 

s.n.

Name

Title

Status

1

Sanjay Kumar

On Some aspects of Fuzzy Integer Linear Programming Problems

Degree awarded  2011.

2

Abhya Kumar

Some Fuzzy Matrix Games

Degree awarded  2014

3

Poonam Verma

Portfolio Optimization with Various Risk Measures & Structured Products

 

Degree awarded  2015.

4

Aparna

Mathematical Programming

Pursuing since-2018

  • Independent Supervision of Doctoral Degree Project,  in the subject of Mathematical Programming

Completed-5    Pursuing -2

s.n.

Name

Title/category

Status

1

MUDITA UPAMANYU

BRS/(MS)/2010/378

Imprecise Multi Objective Set Covering and Fuzzy Fixed Charge Problems

Degree awarded 2017

2

RASHMI GUPTA

BRS/(MS)/2010/969

Algorithms for nonlinear set covering, partitioning, packing and fuzzy problems

 Degree awarded 2018

3

RITIKA CHOPRA

BRS/(MS)/2010/371

Possibilistic, Intuitionistic and Fuzzy Multi-Objective Linear Programming Problems

Degree awarded 2018

4

MEENA BAWEJA

BRS/(MS)/2011/2061

“Multi-Period Portfolio Optimization with Structured Product”

 Degree awarded 2018

5

SANJIV GUPTA

BRS/(MS)/2011/3054

Matrix Games with Fuzzy payoffs

 Degree awarded 2018

6

ASHOK KUMAR

BRS//248/2017/85

Mathematical Programming

Pursuing

7

SOMA DAS

BRS/248/2017/74

Mathematical Programming

Pursuing

 

Project- 1: (Self) Doctoral degree project done  by me under supervision of Dr. S. R. Arora

·         Title:  The title of the Research Project was: “On some aspect of Multi-Objective Set Covering and Fixed Charge Problems”

Ph.D. degree awarded in 2001 by University of Delhi.

Following research articles were published by us:

  • Enumeration Technique for Solving the Multi-objective Linear Set Covering Problem,

           Asia-Pacific Journal of Operational Research 12 (1), 87-97, (1995) ISSN 0217 5959

  • A linearization technique for solving the quadratic set covering problem,

 Optimization 39 (1), 33-42,(1996) ISSN 0233-1934

  • Relation between set covering and set partitioning problem,

 Indian J. Pure Appl. Math.(INSA) 28 (7), 865-876,(1997) ISSN 0019-5588

  • Cutting Plane Technique for the Multi-Objective Set Covering Problem with Linear Fractional Objective Functions,  

               IJOMAS 14 (1), 111-122, (1998)ISSN: 0970-0439

  • Linearization approach to multi-objective quadratic set covering problem,

Optimization 43 (2), 145-156, (1998) ISSN 0233-1934

  • A Note on Solving Non Linear Fractional Multi-Objective Set Covering Problem,

IJOMAS 15 (1), 77-88,(1999)  ISSN  0970-0439

  • Persistence of Research
  • Efficiency Evaluation of the Energy Companies in CNX 500 Index of the NSE,India using Data envelope Analysis           

            Benchmarking: An International Journal,Vol.23(1), pp.113-126,(2016) ISSN 1463-5771

  • Relation between set partitioning and set covering problems with quadratic fractional objective functions

Opsearch 48 (3), 247-256,(2011) ISSN 0030-3887

  • Measuring efficiencies in Indian public road transit: a data envelopment analysis approach,

Opsearch 47 (3), 195-204,(2010) ISSN 0030-3887

  • Enumeration technique for set covering problems: a combinatorial approach,
    Journal of Interdisciplinary Mathematics 9 (2), 421-430,(2006) ISSN 0972-0502
  • An Algorithm For Quasi-Convex Set Covering Problem,
    IJOMAS 20 (2), 205-218,(2004)   ISSN 0970-0439

Project-2: Ph.D. Project done by Ms. Mudita Upamanyu under my supervision on project title: “Imprecise Multi Objective Set Covering and Fuzzy Fixed Charge Problems”

Ph.D. degree awarded to her in 2017 by University of Delhi.

Following research articles were published by us:

  • A Compromise Method for Solving Fuzzy Multi-Objective Fixed Charge Transportation Problem, Lecture Notes in Management Science, Vol. 8, 8-15,( 2016). ISSN: 2008-0050
  • On Solving a Multi-Objective Fixed Charge Problem with Imprecise Fractional Objectives, Applied Soft Computing, Vol. 40, 64-69,( 2016. ISSN 1568-4146
  • On Solving Multi-Objective Set Covering Problem with Imprecise Linear Fractional Objectives, RAIRO-Operations Research, Vol. 49(3), 495-510, (2015).  ISSN 0399-0559

·Linearization Approach to Multi Objective Set Covering Problem with Imprecise   

Nonlinear Fractional Objectives,Opsearch,Vol. 52(3), 597-615, (2015). ISSN 0030-3887

  • Obtaining a Compromise Solution of a Multi Objective Fixed Charge Problem in a Fuzzy

Environment,

International Journal of Pure and Applied Mathematics, Vol. 98 (2), 193-    210, (2015). ISSN 1311-8080

  • Multi-objective Linear Set Covering Problem with Imprecise Objective Functions,

International Journal for Research in IT, Management & Engineering, Vol. 2(3), 28-42, (2012). ISSN 2249-1619

 

Project-3:  Ph.D. Project done by Ms. Ritika Chopra under my supervision on project title: “Possibilistic, Intuitionistic and Fuzzy Multi-Objective Linear Programming Problems”

Ph.D. degree awarded to her in 2018 by University of Delhi.

 

Following research articles were published by us:

            T

  • Solving Fuzzy Linear Programming Problems with Bell-Shaped Membership Functions,

            The Journal of fuzzy Mathematics, vol. 25, Issue-4, pp.795-804, 2016. ISSN: 1066-8950

·Type-2 Fuzzy Linear Programming problem with interval valued linear programming approach,

The Journal of fuzzy Mathematics, 23(4), 813-820, 2015. ISSN: 1066-8950

·Possibilistic linear programming with triangukar intuitionistic fuzzy numbers,

           Advances in fuzzy mathematics,  10(1) 91-98, 2015. ISSN 0973-533X

  • An Approach to Solve a Possibilistic Linear Programming Problem,

               Applied Mathematics, 5, 226-233, 2014 ISSN 2152-7393

  • Model for Solving Fuzzy Multiple Objective Problem,

               American Journal of Operations Research, 3, 65-69, 2013. ISSN 2160-8849

  • Fuzzy linear programming with Trapezoidal intuitionistic fuzzy numbers,

              Advances in fuzzy Mathematics,  ISSN 0974-0201 Accepted.

 

  • Solving Fuzzy Linear Programming Problems with Bell-Shaped Membership Functions,

 

 Project-4:  Ph.D. Project done under my supervision by Ms. Meena Baweja on project title: “Multi-Period Portfolio Optimization with Structured Product”

Ph.D. degree awarded to her  in 2018 by University of Delhi.

Following research articles were published by us:

·         Portfolio Optimization using Conditional Sharpe Ratio,

 International Letters of Chemistry, Physics and Astronomy, vol.53, pp:130-136, (2015)    ISSN: 2299-3843

·         Optimal Investment Problem with Option,

              International Journal of Applied Mathematics, Vol.28 (4), pp:363-376,(2015) ISSN:

              1311-8080 

·          Portfolio Optimization with Structured Products under Return Constraint,

 Yugoslav Journal of Operations Research 24(2), (2015) ISSN: 0354-0243

·         Solving Portfolio Optimization  Problems with Structured Products,

International Journal of Pure and Applied Mathematics 93 (1), 147-154,(2014) ISSN 1311-8080

·         Portfolio Optimization using  Modified Information Ratio,

Indian Journal of Applied Research, 7(1), 15-16,( 2017) ISSN: 2249 555X

·         Portfolio Optimization with Option: A Case Study,

International Journal of Agricultural and Statistical Sciences (accepted),Vol.14 (2), (2018), ISSN 0973 1903,

Project-5:  Ph.D. Project done under my supervision by Ms. Rashmi Gupta on project title: “Algorithms for nonlinear set covering, partitioning, packing and fuzzy problems”

 

Ph.D. degree awarded to her in 2018 by University of Delhi.

Following research articles were published by us:

 

·         Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs,

RAIRO-Operations Research 48 (03), 415-427(2014) ISSN 0399-0559

·         Set Packing problem with Linear fractional objective function,

 International journal of Mathematics and computer application research (IJMCAR),4(1) 9-18,(2014) ISSN 2249 6955

·         Linearization Technique for solving Quadratic set Packing and Partitioning Problems , International journal of Mathematics and computer application research (IJMCAR),4(4), 9-20(2013) ISSN 2249 6955

·         Enumeration Technique for  Solving Linear Fuzzy Set Covering Problem,

 International Journal of Pure and Applied Mathematics,85(4), 635-651(2013),           ISSN 1311-8080

·         Enumeration Technique  for Solving Linear  Fractional Fuzzy Set Covering Problem,

             International Journal of Pure and Applied Mathematics 84(5),477-496(2013),

            ISSN 1311-8080,

·         Linearization technique for Solving Quadratic Fractional Set Covering, Partitioning and Packing Problems

Int. J. for Res. in Engineering & Social Science 2 (2), 49-87(2012) ISSN 2249-2496

·          Set Covering, Set Partitioning and Set Packing Problems with Linear Fractional  Objective  Function,

Lecture Notes in Management Sciences,Vol. 3,Proceedings of 3rd International Conference on Applied Operational Research, August 2011, Istanbul,Turkey,107-119.

 ISSN 1235-7839

·         Enumeration Technique for Set Covering, Partitioning and Packing Problems with Quadratic Objective Function: A combinatorial Approach,

Proceedings of 3rd National Conference on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries, January 30-31,(2010),TS-3.4.1-TS-3.4.6.

Project-6:   Ph.D. Project done under my supervision by Mr. Sanjiv Kumar on project title: “Matrix Games with Fuzzy payoffs”

Ph.D. degree awarded to him in 2018 by University of Delhi.

Following research articles were published by us:

 

·         A Fast Approach to Solve  Matrix Games with Payoffs of Trapezoidal Fuzzy Nunbers
 Asia-Pacific Journal of Operational Research (APJOR),vol.33,no.06
 open access ISSN: 0217-5959

Lecture Notes in Management Science, Vol.(9),Dec. 2017,pp-57-65, ISSN: 2008-0050, (Presented in 9th International Conference ICAOR-2017 Dec.18-20, Chung Yuan Christian University, Taiwan)

·          Matrix Games with Triangular Intuitionistic Fuzzy Pay Offs,

The Journal of Fuzzy Mathematics 23 no.3 611-622 ISSN:1066-8950

·          Method to  Solve Fuzzy Game  Matrix,

International Journal of Pure and Applied Mathematics 89 (5),679-687  ISSN 1311-8080

·         Method to Solve Matrix Games with Trapezoidal Intuitionistic Fuzzy Pay Offs,

Communicated for publication in sept-2018

 

Project-7:   Ph.D. Project is under process in my supervision by Mr. Ashok Kumar in the field of Mathematical Programming since 2017.

Project-8:   Ph.D. Project is under process in my supervision by Ms. Soma Das in the field of Mathematical Programming since 2017.

 

Publications Profile

· Books/Monographs (Authored/Edited)-                                               ( 06)

§  Editor of proceeding of a five day national work-shop NUMDECS 2011, sponsored by UGC, from February 1st -5th  2011.

§  Editor of proceeding of 3rd National conference on ‘Mathematical Techniques: Emerging Paradigms for Electronics & IT Industries-(MATEIT-2010).

§  Editor of abstract book of 2nd National conference on ‘Mathematical Techniques: Emerging Paradigms for Electronics & IT Industries-(MATEIT-2008).

§  Editor of proceeding of 1st National conference on ‘Mathematical Techniques: Emerging Paradigms for Electronics & IT Industries-(MATEIT-2006) ISBN-  81-8424-026-0

§  Senior School Mathematics (XII-Class) ISBN –81-7515-254-0.

§  Topper’s Approach to Computer Science Entrance Exams. ISBN – 81-87939-02-8A.

·Research Papers Published in Refereed/Peer Revd. Journals- 

(published-41 communicated-1)  DETAILS IN RESEARCH PROJECTS ABOVE

 

Conference Organization/ Presentations (in the last three years)

2017

 

2016

  • Presented a research paper titled:-  A compromise method for solving fuzzy multiobjective fixed charge transportation problem in international conference ICAOR-2016 at Rotterdam, the Netherlands from 28th-30th June  (published in Lecture notes)

·         Chaired a session in the International Conference ROATA-2016 (Dept. of Operations Research, University of Delhi)

 

2012

·         Chaired a  session in the  international Conference OPTIMA-2012 (Dept. of Operations Research, University of Delhi)

2011

  • Presented a research paper titled:- Set Covering, Set Partitioning and Set Packing Problems with Linear Fractional  Objective  Function at International conference (ICAOR’-11), Istanbul, Turkey, August. (published in Lecture notes)

 

2010

·         Presented a research paper titled:- “Enumeration Technique for Set Covering, Partitioning and Packing Problems with Quadratic Objective Function:A combinatorial Approach, in UGC sponsored 3rd National Conference on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries (MATEIT-2010), India, 30-31 Jan.

 

2008

  • Convened and Presented a research paper in UGC sponsored 2nd National Conference on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries (MATEIT-2008), India, 26– 28 Sept..

 

2007

  • Presented a research paper titled :-“ Enumeration Technique for Set Covering, Partitioning and Packing Problems with Non-Linear Objective Function:  A Combinatorial Approach” in 2nd MPS International Conference on Continuous Optimization (ICCOPT-II 2007), McMaster University, Hamilton, Canada , August.

 

2006

·         Presented a research paper titled:-“ Enumeration Technique for set  covering and set partitioning problem : A combinatorial approach”  in UGC sponsored 1st National Conference on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries (MATEIT-2006),  India.

 

2003

·         Presented a research paper titled:-“ Enumeration technique for set covering problems”  in  6th International Conference ‘APORS’ held in India, December 8-10.

·         Presented a research paper titled:-“ Enumeration technique for set covering problems: a combinatorial approach ”  at International conference SCRA-2003, University of Southern Maine, Port land  U.S.A, October 3-5.

 

2001

·         Presented a research paper titled :-“ Quasi-convex set covering problem”  at the XXXIV Annual ORSI Convention and International Conference on Operational Research and National Development, India, December.

 

1998

·         Presented a research paper titled :-“ Trade-off relations in minmax problem with linear fractional objective function”  at the XXXI Annual ORSI Convention and International Conference on Operations  Research and Industry, India, December

 

1997

·         Presented a research paper titled:-“Multi-objective fractional fixed charge problem” at the XXX Annual & International Convention and   ORSI Conference, India, December.

 

Research Projects (Major Grants/Research Collaboration)

·         Awarded innovation project in the year 2013-14 by University of Delhi, entitled “Dynamical Study of Weather of Delhi Region” Completed in March-2015, India Grant- Rs. 4,00,000

·         Awarded Minor Research Project in the year 2011 by UGC, entitled “Integer Fuzzy Programming and completed in June- 2014, India Grant- Rs. 1,50,000

 

Awards and Distinctions

·            B.Sc. (H) Mathematics: Secured 1st rank in the College for the University Examination and received S.C. Malik award for the same.

·            M.Sc. Mathematics from Hans Raj College secured 2nd rank in the college for the University Examination.

·            Secured distinction in M.Phil. Examinations at University of Delhi.

 

Association With Professional Bodies

Memberships

·         Operational Research Society of India (ORSI), INDIA: Senior Member

·         Soft Computing Research Society, India: Life  Member

·         “Mathematical  Reviews”, American Mathematical Society: Reviewer

Other Activities

2017

  • Attended and Presented a research paper in 9th International Conference ICAOR-2017, Dec.18-20, Chung Yuan Christian University, Taiwan ( article published in Lecture notes)

 

2016

  • Attended and Presented a research paperin 8th international conference ICAOR-2016 at Rotterdam, the Netherlands from 28th-30th June  (article published in Lecture notes)

·         Chaired a session in the International Conference ROATA-2016 (Dept. of Operations Research, University of Delhi)

 

2015

·         Jury for DST sponsored program “INSPIRE” 2015.

·         Resource Person and the mentor for DST sponsored “INSPIRE SCIENCE INTERNSHIP CAMP” at OM Institute of Technology & Management, Hisar in October.

 

2014

·         associate member to a project of National Mission on Education (a body under MHRD) undertaken by CBSE-CAER for curriculum development.

·         Jury for DST sponsored program “INSPIRE” 2014.

·         Co-Chaired  one of the sessions of international Conference” The Asiastic Society,Indology and Indologist during late 18th and 19th centuries

 

2013

·         Resource Person and the mentor for DST sponsored “INSPIRE SCIENCE INTERNSHIP CAMP” in 2013 held in  KIIT Gurgoan.

·         Jury for DST sponsored program “INSPIRE” 2013.

 

2012

·         Jury for DST sponsored program “INSPIRE” 2012.

·         Chaired one of the session of international Conference:OPTIMA-2012.

 

2011

·         Convened & a Resource Person for a five day national work-shop NUMDECS 2011, sponsored by UGC, from February 1-5th, 2011.

·         Resource Person and mentored a DST sponsored “INSPIRE SCIENCE INTERNSHIP CAMP”  in 2011 held in Grehwal University

·         Jury for DST sponsored program “INSPIRE”  2011.

2010

·         Convened 3rd National Conference sponsored by UGC, Govt. of India, on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries (MATEIT-2010), Delhi, India, January

·         Participated in ICT workshop for Capacity Building of Delhi University Faculty, ILLL Workshop: 3-2-10 to 26-2-10

 

2009

·         Convened a National Work-shop Q~CISM-2009, sponsored by CSIR, Govt. of India, on quality management and security, at D.D.U. College,  Delhi, India

2008

·         Resource person for a Workshop on “Optimization Techniques and its Applications”, in Banasthali Vidya-Peeth, sponsored by DST, Govt. of India, India

·         Cconvened 2nd National Conference sponsored by UGC, Govt. of India, on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries (MATEIT-2008), DDUC, Delhi, India

·         Participated in the Pre-ICM International Convention on Mathematical Sciences, held at University of Delhi, December, India.

 

2007

·         Convened a workshop on ”Quantum Mechanics” sponsored by NASI, India

 

2006

·         Convened 1st National Conference sponsored by UGC, Govt. of India, on Mathematical Techniques: Emerging Paradigms for Electronics and IT Industries (MATEIT-2006), DDUC, Delhi, India,

·         Participated in 2nd International Conference on Current Developments in Atomic, Molecular & Optical Physics with Applications-CDAMOP, March 21-23, India.

·         Participated in Disaster Management & Self Defence Course conducted by Directorate General of Home Guards & Civil Defence and University of Delhi, Jan. 30-Feb.3, India.

 

2001

·         Participated in a 3-week professional Development Program (Refresher Course in Mathematics) conducted by Academic Staff College, Jamia Millia Islamia Sept 3-Sept.22, India

·         Participated in a 54th ,  4-week Orientation Programme  conducted by UGC and ASC, Jamia Millia Islamia, New Delhi, June 11- july 7, India

 

1998

·         Participated in a 3-week professional Development Program (Refresher Course in Mathematics: Applied Mathematics) conducted by CPDHE, University of Delhi, Jan 14-Feb 3, India

·         Participated in a 3-week professional Development Program (Refresher Course in Mathematics) conducted by CPDHE, University of Delhi, April 30-May 19, India

 

1997

·         Participated in a 3-week professional Development Program (Refresher Course in Statistics) conducted by CPDHE, University of Delhi, March 27-April 17, India

 

Assignment, Notes for Students