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Which of the following types of problems cannot be solved by linear programming methods
  • a)
    Diet problems
  • b)
    Transportation problems
  • c)
    Manufacturing problems
  • d)
    Traffic signal control
Correct answer is option 'D'. Can you explain this answer?
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Which of the following types of problems cannot be solved by linear pr...
Traffic signal control types of problems cannot be solved by linear programming methods .
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Which of the following types of problems cannot be solved by linear pr...
Traffic Signal Control Problem:
Linear programming methods are not suitable for solving traffic signal control problems. These problems involve optimizing traffic flow at intersections by adjusting signal timings based on real-time traffic conditions. Here's why linear programming cannot be effectively used for traffic signal control:

Dynamic Nature:
- Traffic signal control problems are dynamic in nature, with constantly changing traffic patterns and conditions. Linear programming methods are not designed to handle real-time adjustments and updates required for traffic signal control.

Complexity:
- Traffic signal control problems involve a high level of complexity due to the interactions between different intersections, road segments, and modes of transportation. Linear programming models may not be able to accurately capture all the factors influencing traffic flow.

Non-linear Relationships:
- The relationships between traffic flow, signal timings, and congestion levels are often non-linear, making it difficult to represent them using linear programming equations. Non-linear optimization techniques are more suitable for capturing these complexities.

Alternative Approaches:
- Instead of linear programming, traffic signal control problems are typically solved using advanced optimization techniques such as dynamic programming, genetic algorithms, and simulation models. These approaches can better handle the dynamic and complex nature of traffic signal control problems.
In conclusion, while linear programming methods are effective for solving problems such as diet, transportation, and manufacturing, they are not suitable for addressing the unique challenges posed by traffic signal control problems.
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