Operation Research SPPU Insem Question Paper Aug 2025

Questions

1. Q1

   1. a)

      What is OR? What are the characteristics of OR? Explain the limitations of OR.

      [7]
   2. b)

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

      [8]
   OR

2. Q2

   1. a)

      Explain different types of decision making environments.

      Also asked:Sep 2023

      [5]
   2. b)

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

      [10]

3. Q3

   1. a)

      Discuss the assumptions and limitations of a queuing model.

      [5]
   2. b)

      A self-service store employs one cashier at its counter Nine customers arrive on an average every 5 minutes while the cashier can serve 10 customers in 5 minutes, Assuming Poisson distribution for arrival rate and exponential distribution for service time, find i) Average number of customers in the system ii) Average number of customers in the queue or average queue length. iii) Average time a customer spends in the system iv) Average time a customer waits before being served.

      [10]
   OR

4. Q4

   1. a)

      A person repairing radios finds that the time spent on the radio sets has exponential distribution with mean 20 minutes. If the radios are repaired in the order in which they come in and their arrival is approximately Poisson with an average rate of 15 for 8-hour day, what is the repairman’s expected idle time each day? How many jobs are ahead of the average set just brought in?

      [10]
   2. b)

      Explain the importance of sequencing problems and state the assumptions made while solving sequencing problems. 

      [5]