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In this paper, the concept of the infinitesimal realization factor is extended to the parameter-dependent performance functions in closed queueing networks. Then the concepts of realization matrix (its elements are called realization factors) and performance potential are introduced, and the...
In this article the notion of quasi-symmetryis introduced. It is proved that the quasi-symmetry is equivalent to the uniqueness of invariant measure of Lévy processes in some sense. Moreover, the relationship between ratio limits and invariant measures is studied.
The dynamic input-output model is well known in economic theory and practice. In this paper, the asymptotic stability and balanced growth solutions of the dynamic input-output system are considered. Under some natural assumptions which do not require the technical coefficient matrix to be...
In this article the spectrum of support sizes of a completely decomposable TS (v,4) for any positive integer v≡1,3 (mod 6) is determined.
This paper discusses the solvability of quaternion matrix equation A*X*B* ± B X A=D and obtains it’s general explicit solutions in terms of A,B,D and their Moore-Penrose inverses.
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