Construction of uniform designs over continuous domain in computer experiments

AbstractIn this paper we present a novel approach to the dynamic pricing problem for hotel businesses. It includes disaggregation of the demand into several categories, forecasting, elastic demand simulation, and a mathematical programming model with concave quadratic objective function and linear constraints for dynamic price optimization. The approach is computationally efficient and easy to implement. In computer experiments with a hotel data set, the hotel revenue is increased by about 6% on average in comparison with the actual revenue gained in a past period, where the fixed price policy was employed, subject to an assumption that the demand can deviate from the suggested elastic model. The approach and the developed software can be a useful tool for small hotels recovering from the economic consequences of the COVID-19 pandemic.

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Computer experiments in motor learning

10.1145/1463891.1463974 ◽

1965 ◽

Author(s):

Gene R. Bussey

Keyword(s):

Motor Learning ◽

Computer Experiments

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Continuous Domains in Formal Concept Analysis*

Fundamenta Informaticae ◽

10.3233/fi-2021-2025 ◽

2021 ◽

Vol 179 (3) ◽

pp. 295-319

Author(s):

Longchun Wang ◽

Lankun Guo ◽

Qingguo Li

Keyword(s):

Formal Concept Analysis ◽

Concept Analysis ◽

Continuous Functions ◽

Formal Context ◽

Formal Concept ◽

Contractive Mappings ◽

Continuous Domains ◽

Algebraic Domains ◽

Scott Continuous ◽

Continuous Domain

Formal Concept Analysis (FCA) has been proven to be an effective method of restructuring complete lattices and various algebraic domains. In this paper, the notion of contractive mappings over formal contexts is proposed, which can be viewed as a generalization of interior operators on sets into the framework of FCA. Then, by considering subset-selections consistent with contractive mappings, the notions of attribute continuous formal contexts and continuous concepts are introduced. It is shown that the set of continuous concepts of an attribute continuous formal context forms a continuous domain, and every continuous domain can be restructured in this way. Moreover, the notion of F-morphisms is identified to produce a category equivalent to that of continuous domains with Scott continuous functions. The paper also investigates the representations of various subclasses of continuous domains including algebraic domains and stably continuous semilattices.

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Sequential design of multi-fidelity computer experiments: maximizing the rate of stepwise uncertainty reduction

Technometrics ◽

10.1080/00401706.2021.1935324 ◽

2021 ◽

pp. 1-29

Author(s):

Rémi Stroh ◽

Julien Bect ◽

Séverine Demeyer ◽

Nicolas Fischer ◽

Damien Marquis ◽

...

Keyword(s):

Computer Experiments ◽

Uncertainty Reduction ◽

Sequential Design

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Generalized drift analysis in continuous domain

Proceedings of the 15th ACM/SIGEVO Conference on Foundations of Genetic Algorithms - FOGA '19 ◽

10.1145/3299904.3340303 ◽

2019 ◽

Author(s):

Daiki Morinaga ◽

Youhei Akimoto

Keyword(s):

Drift Analysis ◽

Continuous Domain

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An efficient method for constructing uniform designs with large size

Computational Statistics ◽

10.1007/s00180-012-0359-4 ◽

2012 ◽

Vol 28 (3) ◽

pp. 1319-1331 ◽

Cited By ~ 14

Author(s):

Yong-Dao Zhou ◽

Kai-Tai Fang

Keyword(s):

Efficient Method ◽

Large Size ◽

Uniform Designs

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Normal-Strain Induced Change in Lattice-Type for Confined Cyclohexane Films

MRS Proceedings ◽

10.1557/proc-464-115 ◽

1996 ◽

Vol 464 ◽

Author(s):

J.E. Curry ◽

J.H. Cushman

Keyword(s):

Triangular Lattice ◽

Chemical Potential ◽

Potential Temperature ◽

Computer Experiments ◽

Square Lattice ◽

Melting Transition ◽

Normal Strain ◽

Surface Forces Apparatus ◽

Bulk Fluid ◽

Lattice Type

ABSTRACTOne to three layer cyclohexane films confined between mica-like surfaces are studied to elucidate changes in the films' lattice-type. The laterally confined film is in equilibrium with the bulk fluid that is well into the liquid regime of its phase diagram. Monte Carlo simulations are conducted at constant chemical potential, temperature, and V=Ah, where A is the lateral area and h is the separation between the walls. One and two layers of fluid freeze as h increases. The one layer fluid has a triangular lattice, while the two layer fluid exhibits first a square lattice and then a triangular lattice with increasing surface separation. In contrast to previous studies, solidlike order is induced primarily by the strong fluid-solid interaction and is largely a function of pore width. A shift in the relative alignment of the surfaces perturbs the solidlike fluid structure but does not cause the sudden shear melting transition associated with epitaxial alignment of the fluid atoms with the surface. There is a correlation between the shear stress calculated in the computer experiments and that measured in Surface Forces Apparatus experiments.

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