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Questions and Answers
The Vogel's Approximation Method (VAM) always guarantees an optimal solution to transportation problems.
The Vogel's Approximation Method (VAM) always guarantees an optimal solution to transportation problems.
False (B)
If a transportation problem has more sources than destinations, it is considered unbalanced.
If a transportation problem has more sources than destinations, it is considered unbalanced.
True (A)
Degeneracy in transportation problems occurs when the number of allocations is greater than the number of sources plus the number of destinations minus one.
Degeneracy in transportation problems occurs when the number of allocations is greater than the number of sources plus the number of destinations minus one.
False (B)
In an unbalanced transportation problem, the supply and demand quantities must be equal for each source and destination.
In an unbalanced transportation problem, the supply and demand quantities must be equal for each source and destination.
In an unbalanced transportation problem, dummy sources or destinations are added to balance the total supply and demand.
In an unbalanced transportation problem, dummy sources or destinations are added to balance the total supply and demand.
Degeneracy occurs in a transportation problem when the number of ____________ is less than the number of sources plus the number of destinations minus one.
Degeneracy occurs in a transportation problem when the number of ____________ is less than the number of sources plus the number of destinations minus one.
In transportation problems, the term "slack" refers to the difference between the ____________ and ____________ for each source and destination.
In transportation problems, the term "slack" refers to the difference between the ____________ and ____________ for each source and destination.
In Vogel's Approximation Method (VAM), the penalty cost is calculated based on the difference between the ____________ transportation costs in each row and column.
In Vogel's Approximation Method (VAM), the penalty cost is calculated based on the difference between the ____________ transportation costs in each row and column.
The MODI method is used to improve the initial solution by determining the ____________ associated with each variable.
The MODI method is used to improve the initial solution by determining the ____________ associated with each variable.
In an unbalanced transportation problem, the total ____________ must equal the total ____________.
In an unbalanced transportation problem, the total ____________ must equal the total ____________.
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Study Notes
Transportation Problems
- The Vogel's Approximation Method (VAM) guarantees an optimal solution to transportation problems.
- A transportation problem is considered unbalanced if it has more sources than destinations.
Degeneracy in Transportation Problems
- Degeneracy occurs when the number of allocations is greater than the number of sources plus the number of destinations minus one.
- Degeneracy occurs when the number of allocations is less than the number of sources plus the number of destinations minus one.
Characteristics of Unbalanced Transportation Problems
- In an unbalanced transportation problem, the supply and demand quantities must be equal for each source and destination.
- Dummy sources or destinations are added to balance the total supply and demand in unbalanced transportation problems.
Key Terms
- "Slack" refers to the difference between the capacity and requirement for each source and destination.
- Penalty cost in VAM is calculated based on the difference between the highest and lowest transportation costs in each row and column.
MODI Method
- The MODI method is used to improve the initial solution by determining the opportunity cost associated with each variable.
Unbalanced Transportation Problem Balance
- In an unbalanced transportation problem, the total supply must equal the total demand.
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