A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is...A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is an O(n k). Further more, the system's reliability can be computed more quickly and more effectively from this formula than those previously given.展开更多
We prove that every orientation-preserving periodic self-homeomorphism f of a 2-dimen-sional orientable closed manifold M can be resolved into several basic periodic motions.From this it follows that the number of sho...We prove that every orientation-preserving periodic self-homeomorphism f of a 2-dimen-sional orientable closed manifold M can be resolved into several basic periodic motions.From this it follows that the number of shorter-periodic orbits of f does not. exceed 2+min{4q,24q/m} (where m is the period of f, and q is the genus of M). When q>1, the periodof f is not greater than 4q+2. Moreover, we prove that the number of topologically conju-gate classes of orientation-preserving periodic self-homeomorphisms on M is finite if q>1.展开更多
文摘A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is an O(n k). Further more, the system's reliability can be computed more quickly and more effectively from this formula than those previously given.
基金Project supported by the National Natural Science Foundation of China.
文摘We prove that every orientation-preserving periodic self-homeomorphism f of a 2-dimen-sional orientable closed manifold M can be resolved into several basic periodic motions.From this it follows that the number of shorter-periodic orbits of f does not. exceed 2+min{4q,24q/m} (where m is the period of f, and q is the genus of M). When q>1, the periodof f is not greater than 4q+2. Moreover, we prove that the number of topologically conju-gate classes of orientation-preserving periodic self-homeomorphisms on M is finite if q>1.
