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InsemSep 20242019 patternBE Mech

Operation Research SPPU Insem Question Paper Sep 2024

All 4 questions from this SPPU insem paper, as printed. Read them here or open the PDF.

Open the PDFMost repeated Operation Research questions
Subject code
402045D
Pattern
2019 pattern
Exam
Insem
Session
Sep 2024
Max. marks
30
Time
1 Hour
Semester
VII
Paper code
[6361]-65

Printed for: B.E. (Mechanical Engineering) (Insem.)

Instructions to the candidates

  1. Answer Q.1 Or Q.2 and Q.3 Or Q.4.
  2. Answers in One answer Books.
  3. Figures to the right indicate full marks.
  4. Assume suitable data, if necessary

Questions

  1. Q1

    1. a)

      Discuss the following characteristics related to game theory with suitable example i) Pure and mixed Strategy ii) Saddle point

      [6]
    2. b)

      A food products company is contemplating the introduction of a revolutionary new product with new packaging or replacing the existing product at much higher price (S1). It may even make a moderate change in the composition of the existing product, with a new packaging at a small increase in price (S2), or may a small change in the composition of the exisisting product, backing it with the word New” and a negligible increase in price (S3). The three different possible states of nature or events are high increase in sales (N1), no change in sale (N2) and decrease in sale (N3). The marketing department of the company worked out the payoff’s in terms of the yearly net profits for each of the strategies of three events . This is represented in the following table. Which strategy should be concerned executive choose on the basis of i) Maxi-min criteria, ii) Maxi-max criteria, iii) Mini-max criteria iv) Laplace criteria Strategies States of nature N1 N2 N3 S1 7,00,000 3,00,000 1,50,000 S2 5,00,000 4,50,000 0 S3 3,00,000 3,00,000 3,00,000 2

      Also asked:Sep 2023 ·Oct 2022

      [9]

  2. Q2

    1. a)

      Discuss in brief the methodology of solving Operation research (OR) problem.

      [6]
    2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [9]

  3. Q3

    1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [12]
    2. b)

      Explain Kendall’s notation for representing queuing models?

      Also asked:Sep 2023 ·Oct 2022

      [3]

  4. Q4

    1. a)

      A repair shop attended by a single mechanic has an average of four customers an hour who bring small appliances for repair. The mechanic inspects them for defects and takes six minutes an average. Arrivals are Poisson and service rate has the exponential distribution. 3 You are required to i) Find the proportion of time during which there is no customer in the shop. ii) Find the probability of finding at least one customer in the shop. iii) What is the average number of customers in the system? iv) Find the average time spent by a Customer in the shop including service.

      Also asked:Sep 2023 ·Oct 2022

      [8]
    2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [7]