NDSS Academy

Optimization Techniques (BCA)

Linear programming, simplex method, transportation and assignment problems, game theory and queuing.

6 महीनेअवधि 5Chapters24टॉपिक
अभी पूछताछ करें

सिलेबस · पाठ्यक्रम

Download PDF
01Unit 1: Linear Programming and Graphical Method 5 टॉपिक
  1. Introduction to operations research
  2. Formulation of LPP
  3. Graphical method
  4. Feasible region and corner-point solution
  5. Special cases - unbounded, infeasible, multiple optima
02Unit 2: Simplex Method and Duality 4 टॉपिक
  1. Standard form - slack and surplus variables
  2. Simplex algorithm
  3. Big-M method and artificial variables
  4. Duality in LPP
03Unit 3: Transportation Problem 6 टॉपिक
  1. Balanced and unbalanced problems
  2. North-West Corner rule
  3. Least cost method
  4. Vogel's approximation method
  5. MODI method for optimality
  6. Degeneracy
04Unit 4: Assignment Problem 4 टॉपिक
  1. Formulation
  2. Hungarian method
  3. Unbalanced and maximisation problems
  4. Travelling salesman problem basics
05Unit 5: Game Theory and Queuing 5 टॉपिक
  1. Two-person zero-sum games
  2. Saddle point - maximin and minimax
  3. Mixed strategies and dominance
  4. Queuing system characteristics
  5. M/M/1 model

परिचय

आप यह कर पाएँगे

  • Formulate linear programming problems and solve two-variable LPPs graphically
  • Solve LPPs by the simplex method, including Big-M, and write the dual
  • Find initial and optimal solutions of transportation problems
  • Solve assignment problems by the Hungarian method
  • Solve two-person zero-sum games using saddle points and mixed strategies
  • Compute basic performance measures of an M/M/1 queue

यह किसके लिए है

  • BCA students of Semester 4 (UP state universities, Lucknow University pattern)
  • Students interested in operations research and analytics

आपको क्या चाहिए

  • Mathematics-I and Mathematics-II (matrices, linear equations)

सवाल

Which syllabus does this Optimization Techniques course follow?

It follows the common UP state university BCA syllabus (University of Lucknow pattern) for BCA Semester 4. If your own university's syllabus differs, the centre follows your university's syllabus and unit order.

Is this subject only numericals?

Mostly. Every unit has standard problem types; the trainer drills each method with table-by-table solutions.

Can software be used?

For understanding, yes - Excel Solver or TORA can verify answers, but the exam requires hand working.

Download the syllabus (PDF)

Tell us who you are — your copy is made with your name, and our counsellor can help you choose the right course and centre.

Want to join right away? अभी पूछताछ करें — our centre will call you.