M.Sc. Operational Research at University of Delhi, North Campus

M.Sc. Operational Research is a two-year post graduate course. The number of seats in this course is 93 (including all reservations). This course includes a number of techniques of Operational Research: Linear, Nonlinear, Parametric and Network Optimization, Queueing, Inventory, Reliability, Marketing, Quality Control etc. The curriculum emphasizes on formulation of OR models and algorithms. Students are encouraged to develop skills in setting up and analyzing Operational Research models. The course demonstrates factors and restrictions involved in building and using models for planning and management problems. Case studies, Projects and use of OR software are constituents of the course.

M.A. / M.Sc. Applied Operational Research at University of Delhi, South Campus

M.A. / M.Sc. Applied Operational Research is a two-year post graduate course. The number of seats in this course is 47 (including all reservations). This course was started in the year 1994. The curriculum lays heavy emphasis on experimental and process-oriented learning. The pedagogical tools include the use of case studies and industry oriented project work. Besides building up skills of individual decision making, lot of emphasis is laid on developing team skills and value focused decision making.

M.Phil. and Doctor of Philosophy (Ph.D.) Programmes

The Department has strong research interest in different subject areas of OR and offers M.Phil and Doctor of Philosophy (Ph.D) programmes aimed at producing quality researchers.

Note :

• The candidates who are appearing in the final year examination of the degree on the basis of which admission is sought are also eligible to apply.
• Applicants who have graduated under 10+2+3 scheme or an equivalent scheme are eligible for admission.
• The admissions to M.Sc. Operational Research and M.A./ M.Sc. Applied Operational Research shall be finalized by submitting the proof of the eligibility conditions document not later than 31st August, 2014. Provisional admission of the students who fail to meet the eligibility conditions and /or fail to submit result of their qualifying degree examination latest by August 31, 2014 shall be annulled without any prior notice to the candidate.

• Registration fee
  As the Eligibility Conditions are same for admission to both the Courses M.Sc. Operational Research Part-I at North Campus and M.A./M.Sc. Applied Operational Research Part-I at South Campus, the candidates may opt for admission to both the Courses. Accordingly, the Common Entrance Test fee would be as follows :

  Course Name	Entrance Test Fee
  	General Category & OBC	Scheduled Caste / Scheduled Tribe / PWD Category
  M.Sc. Operational Research and / or M.A. / M.Sc. Applied Operational Research	Rs. 500/-	Rs. 250/-

• Mode of Payment
  Payment should be made online on the University web-portal.
• Common Entrance Test
  It will consist of written test and interview.
  • Written Test (85%) :
    Part-I : General Aptitude (20%) : General English, Comprehension, Logic, Analytical ability and Reasoning.
    
    Part-II : Quantitative Aptitude (65%) : Questions from Mathematics, Statistics, Operational Research and Computer Science.
  • Interview (15%) :
    Based on the performance in written test, a consolidated merit list consisting of 3 times of the number of seats available in each category for admission in each course would be prepared for interview.
  Note : In all cases the decision of the Mathematical Sciences Courses Admission Committee will be final and binding on the candidates.
• Admission Test
  The Admission Tickets will be issued online via e-mail system.
• Evaluation of OMR Sheet
  Applications for obtaining copies of the evaluated OMR sheets for the entrance examinations conducted by the Departments of the University through ORS (OMR Response Sheet) and/or copies of the evaluated answer scripts for descriptive type entrance examinations, shall be entertained in accordance with the rules notified by the University vide Notification No. CE/2012 dated 16th July 2012.
  
  Rs. 500/- per paper for ORS and / or for descriptive evaluated answer script is to be deposited with the University Cashier between 9:30 A.M. to 1.00 P.M. and 1:30 P.M> to 3:00 P.M. on all working days after verification of the application form by the concerned Department of the University.

Course Structure of the M.Sc. Operational Research Programme

Course Structure of the M.A. / M.Sc. Applied Operational Research Programme

• The list of candidates selected for interview will be notified in the Department of Operational Research and on the Website (www.du.ac.in). It is, therefore, the responsibility of the candidates to contact the Department personally.
• The Common Entrance Test will be conducted at University of Delhi only.

PART - I

This part is intended to test the candidate’s vocabulary and analytical skills at a level essential for accurate comprehension and presentation of material appropriate for this degree. The language background expected will be of the level of English at Senior Secondary Examination. The paper will include passages for comprehension, test of vocabulary (synonyms and antonyms), elementary grammar and syntax.

The section on Analytical Ability and Reasoning will include standard questions on pattern recognition, logic, Venn diagrams etc. It is not intended to be subject-specific.

PART - II

Mathematics :
Vector Space, subspace and its properties, linear independence and dependence of vectors, matrices, rank of a matrix, reduction to normal forms, linear homogenous and non-homogenous equations, Cayley-Hamilton theorem, characteristic roots and vectors. De Moivre’s theorem, relation between roots and coefficient of nth degree equation, solution to cubic and biquadratic equation, transformation of equations.

Calculus : Limit and continuity, differentiability of functions, successive differentiation, Leibnitz’s theorem, partial differentiation, Euler’s theorem on homogenous functions, tangents and normals, asymptotes, singular points, curve tracing, reduction formulae, integration and properties of definite integrals, quadrature, rectification of curves, volumes and surfaces of solids of revolution.

Differential Equations : Linear, homogenous, separable equations, first order higher degree equations, algebraic properties of solutions, linear homogenous equations with constant coefficients, solution of second order differential equations. Linear nonhomogenous differential equations.

Real Analysis : Neighbourhoods, open and closed sets, limit points and Bolzano Weiestrass theorem, continuous functions, sequences and their properties, limit superior and limit inferior of a sequence, infinite series and their convergence. Rolle’s theorem, mean value theorem, Taylor’s theorem, Taylor’s series, Maclaurin’s series, maxima amd minima, indeterminate forms.

Statistics :
Measures of central tendency and dispersion and their properties, skewness and kurtosis, introduction to probability, theorems of total and compound probability, Bayes theorem, random variables, probability mass and density functions, mathematical expectation, moment generating functions, Binomial, Poisson, Geometric, Exponential and Normal distributions and their properties, method of least squares, correlation and regression, introduction to sampling, sampling distributions and tests of significance based on t, Chisquare and F-distributions.

Operational Research :
Definition & scope of Operational Research, Formulation of simple Linear Programming Problems, Simplex method and basics of Duality.

Characteristics of Inventory System, Simple Economic Lot Size Inventory models, Reorder Level, Simple single period Stochastic Inventory Model.

Definition of Queues and their characteristics, Queueing Models with Markovian Input and Markovian Service, M/M/1 & M/M/C Queueing Models.

Definitions of Reliability, Availability, Reliability of multicomponents systems, failure time distributions: exponential and Weibull.

Computer Science :
Flowcharts and algorithms, Number system : binary, octal, hexadecimal; Truth values, Logical operations, Logic functions and their evaluation.

Computer basics, Computer generations and classifications, Fundamentals of high level languages, Fundamentals of Operating System, C Programming Language.