A revised vertex enumeration algorithm via dual Fourier-Motzkin elimination method

2014 ◽  
pp. 479-483
Author(s):  
Sammani Abdullahi
AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 154-160 ◽  
Author(s):  
Dimitri Papamoschou ◽  
Marco Debiasi

1970 ◽  
Vol 2 (3) ◽  
pp. 341-356
Author(s):  
G. Jándy

In cases where certain simplifications are allowed, the location optimisation of given and indivisible different economic units may be modelled as a bi-value weighted distribution problem. The paper presents a heuristic algorithm for this network-flow-type problem and also a partial enumeration algorithm for deriving the exact solution. But it is also pointed out that an initial sub-optimal solution can quickly be improved with a derivation on a direct line only, if the exact solution is not absolutely essential. A numerical example is used to illustrate the method of derivation on a direct line starting with an upper bound given by a sub-optimal solution.


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