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-convexity 1

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economic dispatch (ED) 1

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generalized force 1

invasive weed optimization 1

lattice programming 1

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prohibited operating zones (POZ) 1

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♮-convexity and its applications in operations

Xin CHEN

Frontiers of Engineering Management 2017, Volume 4, Issue 3, Pages 283-294 doi: 10.15302/J-FEM-2017057

Abstract: -convexity, one of the central concepts in discrete convex analysis, receives significant attentionsIn this paper, we present a survey of key properties of -convexity and some closely related resultsliterature, we establish the relationship between a notion called -differential monotonicity and -convexityWe then illustrate the techniques of applying -convexity through a detailed analysis of a perishable

Keywords： L^&natur -convexity lattice programming perishable inventory models random capacity

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The convexity about ultimate bearing hypersurfaces of structures

Chengxi GUO,Tingting GUO

Frontiers of Structural and Civil Engineering 2016, Volume 10, Issue 4, Pages 456-461 doi: 10.1007/s11709-016-0334-1

Abstract: The relationship between the convexity on the ultimate bearing surface of a structure and the second-orderThe outward convexity is kept when the surface is expressed by certain dimensionless parameters.A series of properties based on the convexity are pointed out.

Keywords： service limit load ultimate bearing surface convexity generalized force generalized displacement frame

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Application of the invasive weed optimization algorithm to economic dispatch problems

T. JAYABARATHI, Afshin YAZDANI, V. RAMESH

Frontiers in Energy 2012, Volume 6, Issue 3, Pages 255-259 doi: 10.1007/s11708-012-0202-1

Abstract: In this paper the invasive weed optimization algorithm has been applied to a variety of economic dispatch (ED) problems. The ED problem is concerned with minimizing the fuel cost by optimally loading the electrical generators which are committed to supply a given demand. Some involve prohibited operating zones, transmission losses and valve point loading. In general, they are non-linear non-convex optimization problems which cannot be directly solved by conventional methods. In this work the invasive weed algorithm, a meta-heuristic method inspired by the proliferation of weeds, has been applied to four numerical examples and has resulted in promising solutions compared to published results.

Keywords： economic dispatch (ED) invasive weed optimization non-convexity prohibited operating zones (POZ) valve