in this paper, a systematic approach is presented for optimal design of tunnel support lining using two-dimensional finite element analysis models of soil-structure interaction developed in abaqus software and the modified colliding bodies optimization (mcbo) algorithm implemented in matlab environment. this approach is then employed to study the influence of variable geometrical and geo-mechan...

We consider the problem of optimization of cost functionals on the infinite-dimensional manifold of diffeomorphisms. We present a new class of optimization methods, valid for any optimization problem setup on the space of diffeomorphisms by generalizing Nesterov accelerated optimization to the manifold of diffeomorphisms. While our framework is general for infinite dimensional manifolds, we spe...

We study problems of boundary controllability with minimal L p-norm (p ∈ [2, ∞]) for the one-dimensional wave equation, where the state is controlled at both boundaries through Dirichlet or Neumann conditions. The problem is to reach a given terminal state and velocity in a given finite time, while minimizing the L p-norm of the controls. We give necessary and sufficient conditions for the solv...

Analysis of chemical constituents from mass spectrometry of aerosols involves non-negative matrix factorization, an approximation of high-dimensional data in lower-dimensional space. The associated optimization problem is non-convex, resulting in crude approximation errors that are not accessible to scientists. To address this shortcoming, we introduce a newmethodology for user-guided error-awa...

In many scenarios of black-box optimization, evaluating the objective function values solutions is expensive, while comparing a pair relatively cheap, which yields dueling optimization. The side effect optimization that it doubles dimension solution space and exacerbates dimensionality scalability issue e.g., Bayesian To address this issue, existing methods fix one when throughout process, but ...

This article highlights new spline-empowered computational methods for solving robust design optimization (RDO) problems in complex mechanical systems. The are predicated on a spline dimensional decomposition (SDD) of high-dimensional, discontinuous, or nonsmooth stochastic response statistical moment analysis, novel fusion SDD and score functions calculating the second-moment sensitivities wit...

In this paper, we propose an efficient technique for solving some infinite-dimensional problems over the sets of functions of time. In our problem, besides the convex point-wise constraints on state variables, we have convex coupling constraints with finite-dimensional image. Hence, we can formulate a finite-dimensional dual problem, which can be solved by efficient gradient methods. We show th...

Based on credibility theory and two-stage fuzzy optimization method, this paper presents a type of multi-product multi-period (MPMP) production planning model. Since the proposed production planning problem includes fuzzy variable coefficients with an infinite support, it is infinite-dimensional optimization problem. The approximation of the production planning problem is discussed, and the con...

In this paper we simulate an ensemble of cooperating, mobile sensing agents that implement the cyclic stochastic optimization (CSO) algorithm in attempt to survey and track multiple targets. CSO proposed, each agent uses its sensed measurements, shared information, predictions others' future motion decide on next action. This decision is selected minimize a loss function decreases as uncertaint...