Asked by Anh Thy Nguy?n Ng?c on Jun 10, 2024
Verified
When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one
A) the solution is optimal.
B) a dummy source must be created.
C) a dummy destination must be created.
D) there is degeneracy, and an artificial allocation must be created.
E) the closed path has a triangular shape.
Degeneracy
In optimization problems, a situation where more than one solution can be considered optimal, or where slight changes to input data lead to large changes in the solution.
Dummy Source
A hypothetical or artificial origin used in various analytical models or algorithms, often to simplify a problem or to initiate processes.
- Gain insight into the phenomenon of degeneracy in transportation matters and its ramifications.
Verified Answer
OL
Osvaldo Lopez EsquivelJun 11, 2024
Final Answer :
D
Explanation :
When the number of shipments in a feasible solution is less than the number of rows plus the number of columns minus one, it indicates degeneracy in the transportation problem. To resolve this and proceed with the solution process, an artificial allocation (often of zero quantity) is created to satisfy the condition of having exactly m+n-1 allocations for a basic feasible solution, where m is the number of rows (sources) and n is the number of columns (destinations).
Learning Objectives
- Gain insight into the phenomenon of degeneracy in transportation matters and its ramifications.
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