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How to overcome degeneracy in transportation problem?
To overcome degeneracy in a transportation problem, one common approach is to introduce a small positive epsilon value to the supply or demand values, ensuring that all basic variables are positive. Alternatively, the Modified Distribution Method (MODI) can be used to identify and adjust the solution, allowing for a feasible solution without degeneracy. Ensuring that there are enough routes or allocations can also help in resolving any issues that arise from degeneracy.
When do degeneracy in trasport problem occur?
Degeneracy in transportation problems occurs when there are redundant allocations or when there is more than one optimal solution with the same cost. It can make solving the problem more complex and may require additional computational effort to resolve.
What is degeneracy in linear programing problem?
the phenomenon of obtaining a degenerate basic feasible solution in a linear programming problem known as degeneracy.
Why degeneracy arises in transportation?
Degeneracy in transportation arises when multiple routes or modes of transportation can achieve the same objective, such as delivering goods or passengers from one point to another. This redundancy can lead to inefficiencies, as various alternatives may compete for resources or cause overcapacity. Additionally, changes in demand or supply can further complicate the system, potentially resulting in suboptimal routing and increased costs. Overall, degeneracy highlights the complexity and interconnectedness of transportation networks.
What is the relationship between linear programming problem and transportation problem?
you learn linear programming before you learn the transportation problem.
How can such degeneracy be removed?
Degeneracy can be removed through various methods depending on the context. In physics, for instance, applying an external field or perturbation can lift the degeneracy of energy levels. In optimization problems, introducing additional constraints or objectives can differentiate otherwise equivalent solutions. In general, breaking symmetry or introducing asymmetry often plays a crucial role in resolving degeneracy.
How do you transform an unbalanced transportation problem into a balced transportation problem?
By adding Dummy Destination. Also see Dummy Destination for more info.
Difference between transportation and assignment problem?
Total supply must equal to total demand in the transportation problem,but each supply and demand value is 1 in the assignment problem.
How to calculate the degeneracy of a system?
To calculate the degeneracy of a system, you need to count the number of ways the system can be arranged while still maintaining the same energy level. This involves considering the different possible configurations or states that the system can exist in. The degeneracy is a measure of the multiplicity of these states.
What is exchange degeneracy in quantum mechanics?
Exchange degeneracy in quantum mechanics refers to the phenomenon where multiple particles with the same properties (such as electrons in an atom) are indistinguishable from each other, leading to the degeneracy of energy levels. This occurs due to the symmetric nature of the wavefunctions describing the particles, which do not change if the particles are exchanged. Exchange degeneracy plays a crucial role in determining the structure and properties of atoms, molecules, and other quantum systems.
What is spin degeneracy?
Spin degeneracy refers to the multiple possible configurations of electron spin in a given energy level in an atom. Each electron in an atom can have one of two spin orientations, either +1/2 or -1/2. This results in a spin degeneracy of two for each energy level.
What problem did newcomen's steam engine solve?
transportation
