Assignment Problem is special case of ….

Options

A. Linear Programming Problem
B. Unbalanced Problem
C. Restricted Problem
D. Sequencing Problem

Answer

To solve the question "Assignment Problem is a special case of…", we will analyze each option provided and determine which one is correct.

### Step-by-Step Solution:

1. **Understanding the Assignment Problem**:
The assignment problem is a type of optimization problem where the goal is to assign a set of tasks to a set of agents in such a way that the total cost is minimized or the total profit is maximized.

**Hint**: Recall that the assignment problem involves matching tasks to agents efficiently.

2. **Analyzing the Options**:
We have four options to consider:
- 1. Linear Programming Problem
- 2. Unbalanced Problem
- 3. Restricted Problem
- 4. Sequencing Problem

3. **Evaluating Option 4: Sequencing Problem**:
The sequencing problem involves arranging a set of jobs in a specific order. It is a type of linear programming problem but does not relate directly to the assignment problem.

**Hint**: Think about how sequencing differs from assigning tasks to agents.

4. **Evaluating Option 3: Restricted Problem**:
A restricted problem is also a type of linear programming problem. It refers to problems with additional constraints. However, it does not directly relate to the assignment problem.

**Hint**: Consider what restrictions might apply and how they differ from assignment tasks.

5. **Evaluating Option 2: Unbalanced Problem**:
An unbalanced problem occurs when the number of tasks does not equal the number of agents. The assignment problem is typically balanced, meaning the number of tasks equals the number of agents.

**Hint**: Reflect on the definition of balanced vs. unbalanced problems.

6. **Evaluating Option 1: Linear Programming Problem**:
The assignment problem can be formulated as a linear programming problem. In fact, it is a special case of linear programming where the constraints and objective function are structured in a specific way.

**Hint**: Remember that linear programming encompasses various optimization problems, including assignments.

7. **Conclusion**:
After evaluating all options, we conclude that the assignment problem is a special case of the Linear Programming Problem (LPP).

### Final Answer:
**The assignment problem is a special case of Linear Programming Problem (LPP).**