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» On optimality of a polynomial algorithm for random linear mu...
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OL
2011
190views Neural Networks» more  OL 2011»
12 years 11 months ago
On optimality of a polynomial algorithm for random linear multidimensional assignment problem
We demonstrate that the Linear Multidimensional Assignment Problem with iid random costs is polynomially "-approximable almost surely (a. s.) via a simple greedy heuristic, f...
Pavlo A. Krokhmal
STOC
2002
ACM
118views Algorithms» more  STOC 2002»
14 years 4 months ago
On the advantage over a random assignment
: We initiate the study of a new measure of approximation. This measure compares the performance of an approximation algorithm to the random assignment algorithm. This is a useful ...
Johan Håstad, Srinivasan Venkatesh
OL
2010
185views more  OL 2010»
13 years 2 months ago
On the Hamming distance in combinatorial optimization problems on hypergraph matchings
In this note we consider the properties of the Hamming distance in combinatorial optimization problems on hypergraph matchings, also known as multidimensional assignment problems....
Alla R. Kammerdiner, Pavlo A. Krokhmal, Panos M. P...
MP
2007
136views more  MP 2007»
13 years 3 months ago
Asymptotic behavior of the expected optimal value of the multidimensional assignment problem
The Multidimensional Assignment Problem (MAP) is a higher-dimensional version of the Linear Assignment Problem that arises in the areas of data association, target tracking, resou...
Pavlo A. Krokhmal, Don A. Grundel, Panos M. Pardal...
JCO
2007
123views more  JCO 2007»
13 years 4 months ago
On the number of local minima for the multidimensional assignment problem
The Multidimensional Assignment Problem (MAP) is an NP-hard combinatorial optimization problem occurring in many applications, such as data association, target tracking, and resou...
Don A. Grundel, Pavlo A. Krokhmal, Carlos A. S. Ol...