On Design Orthogonality, Maximin Distance, and Projection Uniformity for Computer Experiments

2020 ◽  
pp. 1-11 ◽  
Author(s):  
Yaping Wang ◽  
Fasheng Sun ◽  
Hongquan Xu
Keyword(s):  
Computer Experiments ◽  
Maximin Distance

A method of constructing maximin distance designs

Biometrika ◽  
2020 ◽  
Author(s):  
Wenlong Li ◽  
Min-Qian Liu ◽  
Boxin Tang
Keyword(s):  
Distance Measure ◽  
Computer Experiments ◽  
Space Filling ◽  
Algorithmic Search ◽  
Theoretical Construction ◽  
Maximin Distance

Abstract One attractive class of space-filling designs for computer experiments is that of maximin distance designs. Algorithmic search for such designs is commonly used but this method becomes ineffective for large problems. Theoretical construction of maximin distance designs is challenging; some results have been obtained recently, often by employing highly specialized techniques. This paper presents an easy-to-use method for constructing maximin distance designs. The method is versatile as it is applicable for any distance measure. Our basic idea is to construct large designs from small designs and the method is effective because the quality of large designs is guaranteed by that of small designs, as evaluated by the maximin distance criterion.

scholarly journals Dynamic pricing with demand disaggregation for hotel revenue management

2021 ◽  
Author(s):  
Andrei M. Bandalouski ◽  
Natalja G. Egorova ◽  
Mikhail Y. Kovalyov ◽  
Erwin Pesch ◽  
S. Armagan Tarim
Keyword(s):  
Dynamic Pricing ◽  
Programming Model ◽  
Computer Experiments ◽  
Price Policy ◽  
Linear Constraints ◽  
Economic Consequences ◽  
Elastic Model ◽  
Computationally Efficient ◽  
Data Set ◽  
Dynamic Price

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.

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

Technometrics ◽  
2021 ◽  
pp. 1-29
Author(s):  
Rémi Stroh ◽  
Julien Bect ◽  
Séverine Demeyer ◽  
Nicolas Fischer ◽  
Damien Marquis ◽  
...  
Keyword(s):  
Computer Experiments ◽  
Uncertainty Reduction ◽  
Sequential Design

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

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.

Computer Experiments in Fluid Dynamics

1965 ◽  
Vol 212 (3) ◽  
pp. 104-110 ◽  
Author(s):  
Francis H. Harlow ◽  
Jacob E. Fromm
Keyword(s):  
Fluid Dynamics ◽  
Computer Experiments

A study of structural properties of gene network graphs for mathematical modeling of integrated mosaic gene networks

2017 ◽  
Vol 15 (02) ◽  
pp. 1650045 ◽  
Author(s):  
Olga V. Petrovskaya ◽  
Evgeny D. Petrovskiy ◽  
Inna N. Lavrik ◽  
Vladimir A. Ivanisenko
Keyword(s):  
Mathematical Modeling ◽  
Gene Regulatory Networks ◽  
Gene Networks ◽  
Gene Network ◽  
Regulatory Networks ◽  
Network Modeling ◽  
Computer Experiments ◽  
Linear Control ◽  
Expression Of Genes ◽  
Gene Regulatory

Gene network modeling is one of the widely used approaches in systems biology. It allows for the study of complex genetic systems function, including so-called mosaic gene networks, which consist of functionally interacting subnetworks. We conducted a study of a mosaic gene networks modeling method based on integration of models of gene subnetworks by linear control functionals. An automatic modeling of 10,000 synthetic mosaic gene regulatory networks was carried out using computer experiments on gene knockdowns/knockouts. Structural analysis of graphs of generated mosaic gene regulatory networks has revealed that the most important factor for building accurate integrated mathematical models, among those analyzed in the study, is data on expression of genes corresponding to the vertices with high properties of centrality.

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