Consider the statements:

A. There does not exist a polynomial time algorithm to solve integer linear programming problem.

B. Main focus of PERT is 'minimizing time'.

Choose the correct option about the statements A and B.

This question was previously asked in
UGC NET Computer Science (Paper 2) 11 March 2023 Official Paper
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  1. A is True; B is True 
  2. A is True; B is False
  3. A is False; B is True
  4. A is False; B is False

Answer (Detailed Solution Below)

Option 1 : A is True; B is True 
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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The correct answer is A is True; B is True

Key Points

  • The statement "There does not exist a polynomial time algorithm to solve the integer linear programming problem" is true.
    • The integer linear programming problem is known to be NP-hard, there is no known polynomial-time algorithm for solving it in the general case.
  • The statement "Main focus of PERT is 'minimizing time' " is true.
    • The Project Evaluation and Review Technique, or PERT, is a tool used to plan and manage projects. It lets us organize and plan all the tasks needed to complete a project, and figure out the quickest way to do it. PERT was created back in the 1950s to help figure out how much time and money a project might need.​
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