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LEXICOGRAPHIC OPTIMALITY IN THE MULTIPLE OBJECTIVE LINEAR-PROGRAMMING - THE NUCLEOLAR SOLUTION
DOI:10.1016/0377-2217(92)90347-C.png)
Abstract
En 中文
In this paper we study the problem of multiple objective linear programming (MOLP). We introduce a new solution concept which is related to that of the nucleolus of n-person cooperative game theory. We prove that a general MOLP problem always has a solution in the new sense. The points in the nucleolus are efficient in the classic way. We prove existence and at the same time we introduce a constructing algorithm for computing it.
Keywords:
MULTIPLE OBJECTIVE LINEAR PROGRAMMING
LEXICOGRAPHIC ORDER
NUCLEOLAR SOLUTION
ALGORITHM
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