Mishra: Second order generalized invexity and duality in

mathematical programming, Optimization, 42(1997), 51-69.

Among specific topics are tracing embodied carbon dioxide in trade using high-resolution input-output tables, climate informatics,

mathematical programming applications to land conservation and environmental quality, electricity supply without fossil fuels, statistical approaches for assessing wind resources, and spatio-temporal correlations in criminal offense records.

In recent years, the fields of machine learning and

mathematical programming are increasingly intertwined (Bennett, Parrado-Hernandez 2006), in which SVMs are the typical representatives.

Robinson, Sample-path solution of stochastic variational inequalities,

Mathematical Programming, 1999, 84: 313-333.

The mathematical model of minimal volume design of steel structure, which implicates plastic strains and is subjected to the varying repeated load, is created based on energy principles of the mechanics of deformable body [1-3], shakedown of the structures [4-7] and

mathematical programming theories [8, 9].

To accommodate these requirements, knowledge system develop - (1) In the sequel, we use the term mathematical models to refer to

mathematical programming models.

A number of applications have been developed which do not rely on

mathematical programming, but on the standard algorithms for dealing with networks: communications system interconnections in schools; finding the residual capacity of school bus networks; and probabilistic PERT as a project management tool.

The book contains eight chapters, which cover topics including the mathematical foundation of kernels, Vapnik-Chervonenkis--style learning theory, duality in

mathematical programming, SVM formulations, implementation issues, and successful SVM applications.

It addresses new developments in the field of

mathematical programming, and presents two software programs, LP Assistant (developed by co- author Keough) and the Solver add-in for Microsoft Office Excel for solving linear programming problems.

Elastic and Elastoplastic Contact Analysis: Using Boundary Elements and

Mathematical Programming. A.

Tong [14], Gasimov and Yenilmez [12] among others, considered single objective

mathematical programming with all fuzzy parameters.

Decision tree is simple and easily to visualize,

mathematical programming always ensures an optimal solution, and genetic-based algorithm does not always guarantee an optimal solution.