Pierre L'Ecuyer

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Randomized quasi-Monte Carlo (RQMC) can be seen as a variance reduction method that provides an unbiased estimator of the integral of a function <i>f</i> ov...

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Advanced discrete choice models, such as parametric/non-parametric mixed logit and hybrid choice models, are heavily used in travel behavior research. The...

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We study the problem of constructing shifted rank-1 lattice rules for the approximation of high-dimensional integrals with a low weighted star discrepancy, f...

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We study the convergence behavior of a randomized quasi-Monte Carlo (RQMC) method for the simulation of discrete-time Markov chains, known as array-RQMC. The...

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We consider a class of Markov chain models that includes the highly reliable Markovian systems (HRMS) often used to represent the evolution of multicomponent...

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We review the basic principles of Quasi-Monte Carlo (QMC) methods, the randomizations that turn them into variance-reduction techniques, the integration erro...

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Staffing and scheduling optimization in large multiskill call centers is time-consuming, mainly because it requires lengthy simulations to evaluate performan...

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<p>Monte Carlo simulation is an incredibly versatile tool for studying complex stochastic systems. By replicating the simulation several times independent...

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For every stochastic simulation model, there is in theory a way of changing the probability laws that drive the system so that the resulting IS estimator h...

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The asymptotic robustness of estimators as a function of a rarity parameter, in the context of rare-event simulation, is often qualified by properties such a...

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The coupling-from-the-past (CFTP) algorithm of Propp and Wilson, also called perfect sampling, permits one to sample exactly from the stationary distributio...

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We examine and compare simulation-based algorithms for solving the agent scheduling problem in a multiskill call center. This problem consists in minimizing...

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Random number generators based on linear recurrences modulo 2 are among the fastest long-period generators currently available. The uniformity and independe...

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We propose and analyze a quasi-Monte Carlo (QMC) method for simulating a discrete-time Markov chain on a discrete state space of dimension <img src="/cgi-...

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Starting from coding-theoretic constructions, we build digital nets with good figures of merit, where the figure of merit takes into account the equidistrib...

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Variance reduction techniques (VRTs) are often essential to make simulation quick and accurate enough to be useful. A case in point is simulation-based opti...

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A popular approach for modeling dependence in a finite-dimensional random vector <b>X</b> with given univariate marginals is via a normal copula that fits t...

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We introduce <i>TestU01</i>, a software library implemented in the ANSI C language, and offering a collection of utilities for the empirical statistical te...

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We introduce and study a randomized quasi-Monte Carlo method for estimating the state distribution at each step of a Markov chain. The number of steps in th...

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Importance sampling (IS) is the primary technique for constructing reliable estimators in the context of rare-event simulation. The asymptotic robustness of...

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