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...

Constraint patterns are very useful for specifying OCL constraints on UML class models. They potentially shorten the development time and reduce the errors for constraint development by providing predefined templates that can be instantiated in particular contexts. Constraint patterns can be identified by analyzing existing constraints for recurring expressions and abstracting from them. This p...

In this paper, a bi-objective mixed-integer linear optimization model for Closed-loop Supply Chain Network Design Problem (CLSCND) is developed. The proposed model includes both the forward and reverse directions and includes different types of facilities, namely, manufacturing/remanufacturing centers, warehouses, and disassembly centers. The first objective function tried to minimize the total...

In this paper, slewing maneuver of a flexible spacecraft with large angle of rotation is considered and assuming structural frequency uncertainties a robust minimum-time optimal control law is developed. Considering typical bang-bang control commands with multiple symmetrical switches, a parameter optimization procedure is introduced to find the control forces/torques. The constrained minimizat...

Addressing an integrated decision-making structure for planting and harvesting scheduling may lead to more realistic, accurate, and efficient decision in fresh product supply chain. This study aims to develop an integrated bi-objective tactical and operational planning model for producing and distributing fresh crops. The first objective of the model is to maximize total revenue of supply chain...

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The paper focuses on the convergence rate of the augmented Lagrangian method for nonlinear second-order cone optimization problems. Under a set of assumptions of sufficient conditions, including the componentwise strict complementarity condition, the constraint nondegeneracy condition and the second order sufficient condition, we first study some properties of the augmented Lagrangian and then ...

The efficient management of nursing personnel is of vital importance in a hospital’s environment comprising a vast share of the hospital’s operational costs. In the nurse scheduling problem (NSP), the target is to allocate shifts to the nurses in order to satisfy the hospital’s demand during the planning horizon by considering different objective functions. This paper presents a multi-objective...