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Abstract Problems on algebraic structures, in wich pairs of operations such as (max,+) or (max,min) replace addition and multiplication of the classical linear algebra have appeared in the in the literature approximately since the sixties of the last century. The first publications on these algebraic structures appeared by shimblel[34] who applied thesis ideas to communications networks, cuninghame-Green[10.11], Vorobjov [37] and Giffler [15] applied these algebraic structures to problems of machine time- scheduling |