Jackson's theorem

Jackson's theorem

Jackson's theorem may refer to:

* Jackson's theorem (queueing theory) (after James R. Jackson)
* Jackson's inequality, in analysis (after Dunham Jackson)


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  • Jackson's theorem (queueing theory) — Jackson s theorem is the first significant development in the theory of networks of queues. It assumes an open queueing network of single server queues with the following characteristics:* M = # of queues in the system, not counting queue 0 which …   Wikipedia

  • Jackson network — The concept of Jackson networks, named after James R. Jackson, is the first significant development in the theory of networks of queues, in which each node of the queueing network can be analyzed separately.DefinitionA network of m interconnected …   Wikipedia

  • Jackson integral — In mathematics, the Jackson integral is a series in the theory of special functions that expresses the operation inverse to q differentiation. Definition Let f ( x ) be a function of a real variable x . The Jackson integral of f is defined by the …   Wikipedia

  • Jackson's inequality — In approximation theory, Jackson s inequality is an inequality (proved by Dunham Jackson) between the value of function s best approximation by polynomials and the modulus of continuity of its derivatives. Here is one of the simple cases… …   Wikipedia

  • Arrival theorem — In queueing theory, a discipline within the mathematical theory of probability, the arrival theorem[1] (also referred to as the random observer property, ROP or job observer property[2]) states the state of a system immediately before an arrival… …   Wikipedia

  • Gordon–Newell theorem — In queueing theory, a discipline within the mathematical theory of probability, the Gordon–Newell theorem is an extension of Jackson s theorem from open queueing networks to closed queueing networks of exponential servers.[1] We cannot apply… …   Wikipedia

  • James R. Jackson — was an American mathematician, becoming well known for his contribution to queueing theory.While at University of California, Los Angeles he developed the Jackson s theorem and some of the first models that could predict the performance of… …   Wikipedia

  • Stokes' theorem — For the equation governing viscous drag in fluids, see Stokes law. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiatio …   Wikipedia

  • Maximum power transfer theorem — In electrical engineering, the maximum power transfer theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must be equal to the resistance of the source as viewed from… …   Wikipedia

  • Maximum power theorem — In electrical engineering, the maximum power (transfer) theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must be made the same as that of the source. It is claimed… …   Wikipedia

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