"' Jie-zhong Zou "'( born October 15, 1947 ) is a mathematician known for his research on mathematical probability theory and its applications, in particular in topics such as homogeneous Markov chains, queuing theory and mathematical finance.
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Around the same time, Dr . Leonard Kleinrock, who would preside over the establishment of the first node at UCLA, was using a mathematical tool called queuing theory to understand how data would flow in a packet-switched network.
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For years Kleinrock was known for his work in queuing theory, a branch of mathematics that studies how long people and things spend waiting in lines, how long the lines get and how to design systems to reduce waiting.
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Modern industrial engineers typically use predetermined motion time system, computer simulation ( especially discrete event simulation ), along with extensive mathematical tools for modelling, such as mathematical optimization and queue theory, and computational methods for system analysis, evaluation, and optimization.
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Heuristic methods of phase lumping of complex systems were validated, important results in queuing theory and reliability theory were obtained, and a series of limit theorems for semi-Markov processes were proved by V . S . Korolyuk, academician of the NAS of Ukraine.
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This software, which was based on queuing theory, was devised by the three founders and promoted by the company as being the de facto standard for capacity management and planning in heterogeneous distributed environments . ( 1998 BGS Systems was acquired by BMC Software, Inc . The transaction was valued at approximately $ 285 million .)
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Again, we deal here with a generalization of what in queuing theory is sometimes referred to as Little s theorem that, and this is important, applies only to the whole system S ( not to an arbitrary subsystem as in the mass-time equivalence ); the mean sojourn time can in the Little s theorem be interpreted as "'mean transit time . "'
