B.TechSemester 72024-25Operations ResearchKOE075

Operations Research (KOE075) - AKTU Question Paper 2024-25

B.Tech · Semester 7 · Free PDF Download

This is the official AKTU Operations Research Previous Year Question Paper for B.Tech Semester 7, academic session 2024-25. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 7
Session:2024-25
University:AKTU / UPTU

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Questions Asked in 2024-25

Operations Research (KOE075) — complete question paper · 100 marks · 3 Hours

Section AAttempt all questions in brief. 2 x 10 = 20
  • a
    State the principle of the Simplex method
  • b
    What is duality in Linear Programming?
  • c
    Discuss the objective of transportation problems
  • d
    State the applications of job sequencing in machines
  • e
    Differentiate between CPM and PERT
  • f
    Define Critical Path in CPM
  • g
    Explain mixed strategy in game theory
  • h
    Differentiate between single-server and multi-server queuing model. 4 K2 i. Explain EOQ in inventory control. 5 K2 j. Differentiate between individual and group replacement policy
Section BAttempt any three of the following: 10 x 3 = 20
  • a
    Explain the phases of Operations Research (OR) with a suitable example
  • b
    Solve the following transportatio n problem using the North-West Corner method to find initial solution an d the MODI method to find the optimal solution
  • c
    Explain the Max-Flow problem and solve the following network flow graph to find the maximum flow between the source (s) and sink (t)
  • d
    Explain the Minimax theorem with an example. Discuss its signif icance in game theory
  • e
    Derive the formula for Economic Order Quantity ( EOQ) and explain its assumptions. Find the EOQ for the following problem: Demand = 5000 units/year, Ordering cost = ₹200/order, Holding c ost = ₹5/unit/year
Section CAttempt any one part of the following: 10 x 1 = 10
  • a
    Solve the following Linear Programming problem using the graphical method
  • b
    Discuss the steps involved in solving a Linear Programming problem using the Simplex method. Illustrate with a flowchart
  • a
    Solve the assignment problem using Hungarian Method
  • b
    Explain the importance of job sequencing. Discuss the methods u sed for solving sequencing problems
  • a
    Illustrate a minimum spanning tr ee problem with an example. Dis cuss its applications
  • b
    Construct a project network and determine the critical path for the following activities
  • a
    Explain (i) Principle of dominance with an example (ii) Characteristics of a queuing model
  • b
    Solve the following game using the graphical method
  • a
    A supplier has introduced quantity discounts to encourage la rger order quantities of an item. The price schedule is The supplier estimates that its annual demand for the item is 9 36 units, its ordering cost is Rs.45 per order, and its annual holding cost i s 25 percent of the item’s unit price. What quan tity of the item should the com pany order to minimize total costs?
  • b
    The data collected in running a machine, the cost of which is R s. 60,000 are given below: Determine the optimum period for the replacement of the machine

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

Repeated Questions — KOE075

Questions that appeared in more than one session, found by comparing 4 years of Operations Research papers (2021-22, 2022-23, 2023-24, 2024-25)

3x

Discuss the objective of transportation problems

Appeared in: 2021-22 · 2023-24 · 2024-25

2x

What is duality in Linear Programming?

Appeared in: 2023-24 · 2024-25

Operations Research — Other Year Papers

AKTU Operations Research PYQs from other sessions

Syllabus & More PYQs

Paper solve karne se pehle unit-wise syllabus dekh lo