Optimal Solution of a Degenerate Transportation Problem
situation for Non-Degenerate Transportation problem however here we are acquainting the new approach to get the optimality when the Transportation problem
TRANSPORTATION PROBLEM
Transportation problem works in a way of minimizing the cost function. problem is said to be a non-degenerate basic feasible solution if it contains ...
OPERATIONS RESEARCH Multiple Choice Questions
In Degenerate solution value of objective function ______. The solution to a transportation problem with m-rows and n-columns is feasible if number.
Chapter 1
(1) To find initial feasible solution of a transportation problem the method (4 – non-degenerate); (5 – epsilon); (6 – There is no degeneracy); (7 – ...
DEGENERACY IN TRANSPORTATION PROBLEMS Degeneracy in
Each column also has exactly one nondegenerate variable. Thus each basic feasible solution of the problem in Theorem 10 has the appropriate degrees in the
Appendix: Objective Type Questions
A primal LPP has nondegenerate optimal solution then the op- In a transportation problem
QUANTITATIVE TECHNIQUES FOR FINANCE UNIT 1 In graphical
In non-degenerate solution number of allocated cell is____________. a. Equal to m+n-1 b. method's solution for transportation problem is.
UNIT - III (Degeneracy & Optimization techniques of Transportation
UNIT - III (Degeneracy & Optimization techniques of Transportation Problem). Examining the Initial Basic Feasible Solution for Non-Degeneracy.
Multiple Choice Questions OPERATIONS RESEARCH
a given problem and also derives a solution from the model using A non – degenerate basic feasible solution is the basic feasible solution which has ...
To Obtain Initial Basic Feasible Solution Physical Distribution
A basic feasible solution to a (m x n) transportation problem is said to be a non- degenerate if. (a) The total number of non-negative allocations is exactly m
Optimal Solution of a Degenerate Transportation Problem
Non - Degenerate Basic Feasible Solution:A basic feasible solution is said to be non-degenerate if it has exactly (m+n-1) positive allocations in the Transportation Problem If the allocations are less than the required number of (m+n-1) then it is called the Degenerate Basic Feasible Solution
A Note on Resolution of Degeneracy in Transportation Problems
The transportation problem is one of the earliest and most important applications of linear programming problem It is a particular class of linear programming which is associated with day - to-day activities in our real life and mainly deals with logistics
UNIT - III (D egeneracy & Optimization techniques of
Transportation Algorithm for Minimization Problem (MODI Method) Step 1 Construct the transportationtable entering the origin capacities ai the destination requirement bjand the cost cij Step 2 Find an initial basic feasible solution by vogel’s method or by any of the given method Step 3
Transportation Problem - V3 Solutions
total transportation cost Non – degenerate Basic Feasible Solution: A feasible solution to a m by n transportation problem is said to be non – degenerate B F S If 1 Total number of positive allocations is exactly equal to (m + n - 1) 2 These allocations are at independent positions Otherwise degenerate 6
Searches related to non degenerate solution in transportation problem filetype:pdf
The procedure of Zero termination method is as follows: Step 1: Construct the transportation table Step 2: select the smallest unit transportation cost value for each row and subtract it from all costs in that row In a similar way this process is repeated column wise
[PDF] TRANSPORTATION PROBLEM
Degenerate Basic Feasible Solution: A basic feasible solution that contains less than m + n – 1 non- negative allocations is said to be a degenerate basic
[PDF] Business Statistics Unit 5 Transportation Problem
A feasible solution to a transportation problem is a set of non-negative values allocations it is called a degenerate basic feasible solution and it
[PDF] Degenerate Transportation Problem - NAS College
Degenerate Transportation Problem In a transportation problem if a basic feasible solution with m origins and n destinations has less than
[PDF] III (Degeneracy & Optimization techniques of Transportation Problem)
UNIT - III (Degeneracy Optimization techniques of Transportation Problem) Examining the Initial Basic Feasible Solution for Non-Degeneracy
[PDF] UNIT 5 TRANSPORTATION PROBLEM - eGyanKosh
A basic feasible solution with m origins and n destinations is said to be degenerate if the number of non zero basic variables is less than m + n - 1 When •a
[PDF] Transportation problem - CORE
Definition Q A nondegenerate basic feasible solution is a basic feasible solution with exactly m+n-1 solution variables
[PDF] Transportation Problempdf
in a study titled “Optimum utilization of Transportation Optimal solution Degeneracy Balanced problem No of allocations is less than m+n-1
[PDF] Module 4: Transportation Problem and Assignment problem
Consider the below transportation problem Solution: Step 1: Check whether the problem is balanced or not If the total sum of all the supply from sources
[PDF] Transportation Problem
The solution so obtained need not be non-degenerate Example 9 3 Use Least Cost Method (LCM) to find initial basic feasible solution to the transportation
[PDF] UNIT III Transportation problem Basic structure of transportation
Degenerate basic feasible solution: A basic feasible solution in which the total number of non- negative allocations is less than m + n – 1 is called degenerate
How to solve the problem of degenerate transportation?
- a method of obtaining optimal solutions to degenerate transportation problems has been suggested. The method is a modification of the already-known Modified Distribution (MODI) method and consists in proceeding with the non-zero cells of the basis and a dual solution corresponding to these cells-without attempting
What are a feasible solution and non-degenerate solution in the transportation problem?
- Feasible Solution: A feasible solution to a transportation problem is a set of non-negative values xij (i = 1, 2,.., m, j = 1, 2, …n) that satisfies the constraints.
What is the degenerate basic feasible solution to the m-by-N transportation problem?
- Consider a degenerate basic feasible solution to the m-by-n transportation problem. If the order of degeneracy (minimum number of vacant cells required to complete the basis) be r [r
What is a non-degenerate solution?
- If all the variables in the basic feasible solution are non-zero, then it is called non-degenerate solution and if some of the variables are zero, it is called degenerate solution. (iii) A new basic feasible solution may be obtained from the previous one by equating one of the basic variables to zero and replacing it by a new non-basic variables.
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