Economic load dispatch is a non linear optimization problem which is of great importance in power systems . While analytical methods suffer from slow conversion and curse of dimensionality particle swarm optimization can be an efficient alternative to solve large scale non linear optimization problem.A lot of advancements have been done to modify this algorithm. This paper presents an overview ...

The purpose of this work is to develop and study a decentralized strategy for Pareto optimization an aggregate cost consisting regularized risks. Each risk modeled as the expectation some loss function with unknown probability distribution while regularizers are assumed deterministic, but not required be differentiable or even continuous. individual, regularized, functions distributed across st...

Abstract We investigate the convergence of proximal gradient method applied to control problems with non-smooth and non-convex cost. Here, we focus on cost functionals that promote sparsity, which includes $$L^p$$ L p -type for $$p\in [0,1)$$ ∈</mml:m...

Abstract In this article, we study the Ricci flow neckpinch in context of metric measure spaces. We introduce notion a spacetime and weak (refined) super associated to convex cost functions (cost which are increasing distance function). Our definition is based on coupled contraction property for suitably defined diffusions maximal diffusion subspaces. our main theorem, show that if non-degenera...

The index is excellent by the Malmquist index as extended to productivity measurement. The index developed here is defined in terms of input cost rather than input quantity distance functions in supply chain. Therefore, we propose productivity change is decomposed into overall efficiency and cost technical change. These decompositions provide a clearer situation of the root sources of supply ch...

let c be a field of subsets of a set i. also, let     1 i i be a non-decreasing positivesequence of real numbers such that 1, 1 0 1   i  and    11 i i . in this paper we prove thatbv of all the games of -bounded variation on c is a non-separable and norm dual banach space of thespace of simple games on c . we use this fact to establish the existence of a linear mapping t from...

In this paper, we discuss the problem of minimizing the sum of two convex functions: a smooth function plus a non-smooth function. Further, the smooth part can be expressed by the average of a large number of smooth component functions, and the non-smooth part is equipped with a simple proximal mapping. We propose a proximal stochastic second-order method, which is efficient and scalable. It in...

Nowadays, demand response programs (DRPs) play an important role in price reduction and reliability improvement. In this paper, an optimal integrated model for the emergency demand response program (EDRP) and dynamic economic emission dispatch (DEED) problem has been developed. Customer’s behavior is modeled based on the price elasticity matrix (PEM) by which the level of DRP is determined for ...

The main reason for introducing smooth structures was to enable us to define smooth functions on manifolds and smooth maps between manifolds. In this chapter we carry out that project. We begin by defining smooth real-valued and vector-valued functions, and then generalize this to smooth maps between manifolds. We then focus our attention for a while on the special case of diffeomorphisms, whic...