One of the commonly used techniques for tackling nonconvex optimization problems in which all nonlinear terms are univariate is piecewise linear approximation by reformulated. The performance linearization technique primarily depends on quantities variables and constraints required formulation a function. state-of-the-art method introduces $$2\lceil \log _2 m\rceil$$ inequality constraints, whe...

For most of the basic inequalities in mathematics we know conditions which completely specify the cases of equality. Many combinatorial correlation inequalities are special cases of the AD-inequality, as explained in [3, 8, 10]. However, for this inequality it seems to be difficult to classify the cases of equality. Certainly this is even more difficult for the much more general inequalities of...

Congestion indicates an economic state where inputs are overly invested. Evidence of congestion occurs whenever reducing some inputs can increase outputs. In this paper, we present a new model to identify and evaluate congestion in Data Envelopment Analysis (DEA). We use output efficient DMUs to construct our proposed model to evaluate congestion. We also proposed a linear inequality and equali...

Decomposition-based optimization strategies are used to solve complex engineering design problems that might be otherwise unsolvable. Yet, the associated computational cost can be prohibitively high due to the often large number of separate optimizations needed for coordination of problem solutions. To reduce this cost one may exploit the fact that some systems may be weakly coupled and their i...

This article analyzes the role of collective wage-setting institution “pattern bargaining” in maintaining gendered hierarchies labor market and gender pay gap Norway. The is considered a main cause gap, yet current research policy has not examined relation to way sectoral wages are set. Norway an interesting case because its model equality highly esteemed globally. However, although system crea...

This paper begins with a geometric statement of constraint optimization problems, which include both equality and inequality-type restrictions. The cost to optimize is curvilinear functional defined by given differential one-form, while the optimal state be determined curve connecting two points, among all curves satisfying some primal feasibility conditions. resulting outcome an invariant Frit...

A weak maximal principle for minimax optimal control problems with mixed state-control equality and inequality constraints is provided. In the formulation of problem we allow parameter uncertainties in all functions involved: cost function, dynamical system constraints. Then a new constraint qualification Mangassarian-Fromovitz type introduced which allowed us to prove necessary conditions opti...

Solving constrained optimization problems using Memetic Algorithms (MAs) has become an important alternative that overcomes the following limitations: the adversary of a global search method to locate the global optimum with sufficient precision and the inability of a local search method to escape from some local optimum. With the success of MAs, researchers in the field are now focused more th...