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Question

Match the items of List – I with the items of List – II regarding Operations Research Models and their bases of Categorization and indicate the code of their correct matching.

List – I (Type of Model)List – II (Basis of Categorization)
(a) Analogue Model(i) Nature of environment
(b) Descriptive Model(ii) Method of getting the solution
(c) Deterministic Model(iii) Structure
(d) Simulation Model(iv) Utility

Codes :

The correct answer is
(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

Operations Research Models: Categorization Matching

This section explains the correct matching between Operations Research (OR) model types listed in List – I and their bases of categorization in List – II.

Matching Model Types to Categorization Basis

Understanding the core concept of each OR model helps in determining its classification basis.

  • (a) Analogue Model: These models use a physical representation or analogy to mimic the system under study. Their classification is based on the (iii) Structure they possess.
  • (b) Descriptive Model: These models aim to describe the system as it is, without necessarily prescribing actions. Their classification relates to their (iv) Utility in explaining system behaviour.
  • (c) Deterministic Model: In these models, all variables and their relationships are known with certainty. They are categorized based on the (i) Nature of environment they represent (i.e., a certain environment).
  • (d) Simulation Model: This approach involves creating a dynamic model to imitate the real-world system over time. It is a method for observing outcomes, thus categorized by the (ii) Method of getting the solution.

Finalizing the Correct Match

The pairings are:

  • (a) relates to (iii) Structure
  • (b) relates to (iv) Utility
  • (c) relates to (i) Nature of environment
  • (d) relates to (ii) Method of getting the solution

Therefore, the correct code representing this matching is (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii).

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Important Questions from Operations Research

  1. A transportation problem with m origins and n destinations becomes a trans-shipment problem with

  2. Match List I with List II

    List I

    List II

    A.

    Markovian property

    I.

    Rule of determining the order in which members of the queue are selected to begin service

    B.

    Waiting time in system

    II.

    The time of next arrival is completely uninfluenced by when the last arrival occurred

    C.

    Steady state condition

    III.

    The queueing is in after operating for some time with a fixed utilisation factor less than one

    D.

    Queue discipline

    IV.

    Elapsed time that an individual customer spends in queue, both before service and during service

    Choose the correct answer from the options given below:

  3. Customers arrive at a reception counter at an average interval rate of 10 minutes and the receptionist takes an average of 6 minutes for one customer. The average queue length is:

  4. The first and foremost important feature for a project to be successful is:

  5. In Queuing Theory, statistical pattern by which customers arrive over a period of time, follows

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