In this paper, the effect of the crack on dynamic behavior of cracked micro-beam in the presence of DC and AC loads are investigated. By applying the residual axial stress and fringing field stress, a nonlinear analytical model of cracked micro-beam is presented and crack is modeled by a massless rotational spring. The governing equation of the system is solved using Galerkin procedure and shoo...

G = 60 · f1 + 40 · min[1, f2 + f3], where fi ∈ [0, 1], i = 1, 2, 3, is the fraction of problem i that you solved correctly. Notice that if you solve correctly both problems 2 and 3, but you do not solve problem 1, your grade will only be G = 40. Thus, try to solve problem 1 first, then choose between problems 2 and 3 (whichever you prefer), and if you still have time, try to do the remaining pr...

We study a quality control problem in a two-stage system. We assume that at each stage units are processed in batches, and the rates are random variables with known distributions. Final products are supplied to customers under warranties or service contracts, with penalty costs associated with defective units. Our focus is on coordinating the inspection procedures at the two stages. Using a sto...

We consider the problem of determining (for a short lifecycle) retail product initial and replenishment order quantities that minimize the cost of lost sales, back orders, and obsolete inventory. We model this problem as a two-stage stochastic dynamic program, propose a heuristic, establish conditions under which the heuristic finds an optimal solution, and report results of the application of ...

Between sensing the world after every action (as in a reactive plan) and not sensing at all (as in an openloop plan), lies a continuum of strategies for sensing during plan execution. If sensing incurs a cost (in time or resources), the most cost-effective strategy is likely to fall somewhere between these two extremes. Yet most work on plan execution assumes one or the other. In this paper, an...

In this paper we study the problem of simultaneous minimization of risks, and maximization of the terminal value of expected funds assets in a stochastic defined benefit aggregated pension plan. The risks considered are the solvency risk, measured as the variance of the terminal fund’s level, and the contribution risk, in the form of a running cost associated to deviations from the evolution of...

Dynamic probabilistic networks (DPNs) are a useful tool for modeling complex stochastic processes. The simplest inference task in DPNs is monitoring | that is, computing a posterior distribution for the state variables at each time step given all observations up to that time. Recursive, constant-space algorithms are well-known for monitoring in DPNs and other models. This paper is concerned wit...

We deal with scheduling-type multi-agent projects, where the workflow of each task may contain chance events and decision opportunities. In this case, global efficiency requires each agent to make his decisions depending on all the current states of the work processes of all agents. But if the current state of each task is hidden then we also need to get the agents interested in sharing this in...

This paper studies a Stochastic Multi-Period Location-Transportation Problem (SMLTP) characterized by multiple transportation options, multiple demand periods and a stochastic stationary demand. We consider the determination of the number and location of the depots required to satisfy a set of customer’s demands, and the mission of these depots in terms of the subset of customers they must supp...

A multivariate stochastic volatility model with dynamic equicorrelation and cross leverage effect is proposed and estimated. Using a Bayesian approach, an efficient Markov chain Monte Carlo algorithm is described where we use the multi-move sampler, which generates multiple latent variables simultaneously. Numerical examples are provided to show its sampling efficiency in comparison with the si...