937 resultados para Fractional-order control


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While revenue management (RM) is traditionally considered a tool of service operations, RM shows considerable potential for application in manufacturing operations. The typical challenges in make-to-order manufacturing are fixed manufacturing capacities and a great variety in offered products, going along with pronounced fluctuations in demand and profitability. Since Harris and Pinder in the mid-90s, numerous papers have furthered the understanding of RM theory in this environment. Nevertheless, results to be expected from applying the developed methods to a practical industry setting have yet to be reported. To this end, this paper investigates a possible application of RM at ThyssenKrupp VDM, leading to considerable improvements in several areas.

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The movement of water through the landscape can be investigated at different scales. This study dealt with the interrelation between bedrock lithology and the geometry of the overlying drainage systems. Parameters of fractal analysis, such as fractal dimension and lacunarity, were used to measure and quantify this relationship. The interrelation between bedrock lithology and the geometry of the drainage systems has been widely studied in the last decades. The quantification of this linkage has not yet been clearly established. Several studies have selected river basins or regularly shaped areas as study units, assuming them to be lithologically homogeneous. This study considered irregular distributions of rock types, establishing areas of the soil map (1:25,000) with the same lithologic information as study units. The tectonic stability and the low climatic variability of the study region allowed effective investigation of the lithologic controls on the drainage networks developed on the plutonic rocks, the metamorphic rocks, and the sedimentary materials existing in the study area. To exclude the effect of multiple in- and outflows in the lithologically homogeneous units, we focused this study on the first-order streams of the drainage networks. The geometry of the hydrologic features was quantified through traditional metrics of fluvial geomorphology and scaling parameters of fractal analysis, such as the fractal dimension, the reference density, and the lacunarity. The results demonstrate the scale invariance of both the drainage networks and the set of first-order streams at the study scale and a relationship between scaling in the lithology and the drainage network.

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"Partial list of authorities cited": p. 443-448.

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In accordance with 15-ILCS 15/11, from Chapter 127, paragraph 1811, the following report is offered to summarize the reorganization of the Department of the Lottery, the Liquor Control Commission, and the Illinois Racing Board merger with the Department of Revenue, pursuant to Executive Order 9, which took effect on June 1, 2003. As part of the governor's ongoing effort to streamline state government and improve efficiency, the consolidation eliminated duplication by integrating administrative functions of the agencies with the Department of Revenue. The change resulted in savings of $3 million on an annual basis from 29 fewer positions and a reduction of leased office space at 7 Lottery locations throughout the state. Streamlined operations were achieved by merging human resource management, procurement, accounting, information technology, and other administrative support services. In addition, Lottery headquarters in Springfield and Chicago, as well as sales district office locations throughout the state were merged with existing Department of Revenue offices, significantly reducing state lease costs. Core functions of the Lottery, Liquor Control Commission, and Racing Board remain intact, and the boards and commission that oversee these entities retain their regulatory responsibilities. The department is considering recommending "clean-up" legislation to replace statutory references to the "Department of the Lottery" with the "Division of the Lottery" or "Department of Revenue Division of the Lottery".

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"Partial list of authorities cited": p.443-448.

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Mode of access: Internet.

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In this paper, we are concerned with the optimal control boundary control of a second order parabolic heat equation. Using the results in [Evtushenko, 1997] and spatial central finite difference with diagonally implicit Runge-Kutta method (DIRK) is applied to solve the parabolic heat equation. The conjugate gradient method (CGM) is applied to solve the distributed control problem. Numerical results are reported.

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Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05

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Mathematics Subject Classification: 26A33, 93C83, 93C85, 68T40

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MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo

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In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.