In this paper, a hybrid method for solving multi-objective problem has been provided. The proposed method is combining the ε-Constraint and the Cuckoo algorithm. First the multi objective problem transfers into a single-objective problem using ε-Constraint, then the Cuckoo optimization algorithm will optimize the problem in each task. At last the optimized Pareto frontier will be drawn. The adv...

We present an efficient multiobjective mixed binary linear program that automates schematic mapping for network visualization and navigation. Schematic mapping has broad applications in representing transit networks, circuits, disease pathways, project tasks, organograms, and taxonomies. Good schematic maps employ distortion while preserving topology to facilitate access to physical or virtual ...

this study investigated the efficiency of wheat farms in sistan province. the data consisted of 50 samples from crop producers in the sistan region. using the simple sampling method, the data was collected by completing the questionnaires. to evaluate the farm efficiencies, the two approaches of the “data envelopment analysis” and the “optimization model including parameters to control for the ...

We give a proximal bundle method for minimizing a convex function f over R+. It requires evaluating f and its subgradients with a possibly unknown accuracy ε ≥ 0, and maintains a set of free variables I to simplify its prox subproblems. The method asymptotically finds points that are ε-optimal. In Lagrangian relaxation of convex programs, it allows for ε-accurate solutions of Lagrangian subprob...

The integrated management of water supply and demand has been considered by many policymakers; due to its complexity the decision makers have faced challenges so far. In this study, we proposed an efficient framework for managing in line with economic environmental objectives basin. To design framework, a combination ANFIS multi-objective augmented ε-constraint programming models TOPSIS were us...

the thermo-hydraulic behavior of the air flow over a two dimensional ribbed channel wasnumerically investigated in various rib-width ratio configurations (b/h=0.5-1.75) atdifferent reynolds numbers, ranging from 6000 to 18000. the capability of differentturbulence models, including standard k-ε, rng k-ε, standard k-ω, and sst k-ω, inpredicting the heat transfer rate was compared with the experi...

Shape-constrained convex regression problem deals with fitting a function to the observed data, where additional constraints are imposed, such as component-wise monotonicity and uniform Lipschitz continuity. This paper provides unified framework for computing least squares estimator of multivariate shape-constrained in $${\mathbb {R}}^d$$ . We prove that is computable via solving an essentially...

There are many important practical optimization problems whose feasible regions not known to be nonempty or not, and optimizers of the objective function with least constraint violation prefer found. A natural way for dealing these is extend nonlinear problem as one optimizing over set points violation. This leads study shifted problem. paper focuses on constrained convex The sufficient conditi...