Search arXivSearch

arXiv · 2511.06119

Digital Twins and Their Applications in Modeling Different Levels of Manufacturing Systems: A Review

Abstract

Digital Twin (DT) has gained great interest as an innovative technology in Industry 4.0 that enables advanced modeling, simulation, and optimization of service and manufacturing systems. This article provides an extensive review of the literature on digital twins (DTs) and their utilization at the levels of product/production line, production system, and enterprise, and considers how they have been applied under real industrial conditions. This article classifies the types of DTs as well as modeling technologies of DT and applications in different fields, with particular focus on the research of strengths and limitations of Discrete Event Simulation (DES) for systems modelling. A generic structure for DT is proposed, outlining the essential components and flow of data. Case studies demonstrate the benefits of DTs for increased efficiency, reduced downtime, and improved lifecycle management, as well as challenges caused by the complexity of data integration and cybersecurity risk, and high implementation costs. This paper contributes to the growing body of knowledge by identifying both the opportunities and barriers to widespread DT adoption. This study concludes that while DTs offer transformative capabilities for enhancing efficiency and decision-making, overcoming these challenges is crucial for realizing their widespread adoption and impact across service and manufacturing sectors.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Sarow Saeedi. 2025-11-08. Digital Twins and Their Applications in Modeling Different Levels of Manufacturing Systems: A Review. https://arxiv.org/abs/2511.06119

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

On Hilbert's 8th Problem

This note takes the probabilistic half of the Riemann Xi story on its own terms. Every object in the subject is a first passage time: Riemann's kernel is the law of the logarithm of a sum of two hitting times of a three dimensional Bessel process, Polya's approximation is the first passage of a Brownian motion with drift, and the reciprocal Xi function, under the Riemann hypothesis, is the Laplace transform of an infinite convolution of exponentials whose rates are the squared zeros. That reciprocal is written as $F_α(s)=ξ(α)/ξ(α+\sqrt s)$, and complete monotonicity, unconditional for $α\ge1$, is conjectured to persist to the critical basepoint $α=1/2$. Kent's eigenvalue expansion says which laws can arise this way, namely those whose Thorin measure is a Dirichlet spectrum with unit atoms, and Krein's inverse spectral theory turns the hypothesis into the existence of a string. The passage from Riemann to Polya is a flow, not a jump: the Cauchy semigroup on Thorin measures, each step an Esscher tilt followed by a Brownian subordination along a curvature family of hyperbolic Bessel processes, with the arithmetic surviving as Fourier modes damped like $e^{-2πk\varepsilon}$. The arithmetic lives in the atoms and nowhere else. Approximations rank by what they keep: Polya keeps neither atoms nor tempering and is off by a factor of three, a fitted Bessel dimension reaches one per cent, and a few atoms with an erfc tempering stay better than one part in a thousand across four decades. And the flow runs backwards: the Thorin measure of the reciprocal is evaluated from a prime sieve with no reference to any zero, and nonnegative deconvolution of it returns the first ten zero ordinates with unit masses, nine of them to four decimals and one to three. All identities are verified with mpmath, and the scripts are included.

math.GM

Dynamical Geometry of Principal Bundle Constrained Systems: Compatible Pairs, Contact Degeneration, and Adapted Metrics

We study invariant codimension-one constraints on principal bundles through compatible pairs: a constraint distribution and a nonzero coadjoint field parallel for a principal connection. Pairing the field with the connection gives an invariant one-form whose Levi form separates a horizontal curvature contribution from a vertical coadjoint-orbit contribution. This decomposition yields criteria for integrability, contactness, and characteristic reduction; holonomy and stabilizer reductions describe global existence. For evolving compatible pairs, we identify the mixed-curvature obstruction to compatibility and prove that connection transport preserves the Levi geometry. For initially contact data over a closed base of dimension $2n$, we establish matching bounds for the quadratic $H^{n+1}$ cost of contact degeneration: making the paired curvature vanish on a Darboux ball of radius $r$ in time $T$ costs an amount comparable to $[T\log(R_*/r)]^{-1}$. The constructed paths remain contact before $T$, preserve the curvature class, and force the $L^\infty$ norm of every transporting velocity gradient to grow at least as $1/[2(T-t)]$ on the collapsing region in Darboux coordinates. On a closed three-manifold, a contact form preserved by a locally free circle action admits an invariant adapted metric with any prescribed positive curl eigenvalue and unit circle generator. We parametrize all such metrics and prove that their space is contractible. Along the circle-bundle degeneration paths, every continuous tensor limit of normalized adapted metrics is degenerate above the collapsing region.

math.GM