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A PRICE-SETTING NEWSVENDOR MODEL UNDER CVAR DECISION CRITERION WITH EMERGENCY PROCUREMENT

Journal of Systems Science and Systems Engineering 2010年第1期19卷 85-104页

作者： Minghui XU School of Economics and Management,wuhan university,wuhan 43007.,China School of Economics and Management Wuhan University Wuhan China

In this paper, we consider a newsvendor model in which a risk-averse manager faces a stochastic price-dependent demand in either an additive or a multiplicative form. An emergency purchase option is allowed after the realization of demand to satisfy the units that are short. By adopting Conditional value-at-risk （CVaR） as the decision criterion, we aim to investigate the optimal pricing and ordering decisions, and the effects of parameter changes in such a setting. We provide sufficient conditions for the uniqueness of the optimal policy for both demand models. We perforl~, comparative statics analysis to show how the optimal pricing and ordering decision behaves when changing parameters. We also compare our results with those of the newsvendor with a general utility function and with CVaR criterion under lost sales assumption. Our key results include：（i） For both demand models, the optimal selling price is decreasing in risk aversion. Hence, the optimal price of a risk-averse newsvendor is not greater than the optimal price of a risk-neutral newsvendor. （it） In contrary to the lost sales case, for the multiplicative demand model, the optimal order quantity may not be monotonic in risk aversion. Consequently, the optimal risk-averse order quantity may be lower or higher than the optimal risk- neutral counterpart. （iii） For the additive model, the optimal order quantity is strictly increasing in the emergency purchase price, while for the multiplicative model the optimal order quantity has no such a monotonic property. Some numerical examples are conducted to verify our claims and gain more insights about the risk-averse decision-making behaviors.

关键词： Newsvendor model inventory pricing risk aversion conditional value-at-risk

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The construction of Markov processes in random environments and the equivalence theorems

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Science China Mathematics 2004年第4期47卷 481-496页

作者： HU DiheSchool of Mathematics and Statistics, wuhan university, wuhan 43007., China 1. School of Mathematics and Statistics Wuhan University 430072 Wuhan China

In sec.1, we introduce several basic concepts such as random transition function, p-m process and Markov process in random environment and give some examples to construct a random transition function from a non-homogeneous density function. In sec.2, we construct the Markov process in random enviromment and skew product Markov process by p - m process and investigate the properties of Markov process in random environment and the original process and environment process and skew product process. In sec. 3, we give several equivalence theorems on Markov process in random environment.

关键词： radom transition function, p -m process, Markov process in random environment, skew product Markov process, density function.

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NEW WAVELET BASES FOR NON－HOMOGENEOUS SYMBOLIC SPACE OpS1,1^m AND RELATED KERNEL－DISTRIBUTION SPACES

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Chinese Annals of Mathematics,Series B 2002年第4期23卷 551-562页

作者： YANG QIXIANGDepartment of Mathematics, wuhan university, wuhan 43007., China. Department of Mathematics Wuhan University Wuhan 430072 China

This paper constructs several classes of new wavelet bases, which are unconditional bases for related operator spaces. Using these bases, the author analyzes non-homogeneous symbolic space OpSm1,1 and two related kernel-distribution spaces, and characterizes them in two wavelet coefficients spaces. Besides, some properties for singular integral operators are studied.

关键词： Wavelet bases Symbolic spaces Kernel-distribution spaces

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LARGE DEVIATIONS FOR STATIONARY Φ-MIXING SEQUENCES IN τ-TOPOLOGY

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Chinese Annals of Mathematics,Series B 1996年第2期17卷 149-158页

作者： Hu YIJUN Department of Mathematics, wuhan university, wuhan 43007., China. Department of Mathematics Wuhan University Wuhan 430072 China

The results of Bryc on large deviations for empirical measures of stationary Φ-mixing sequences are extended. Bryc states his results in the usual weak topology on the space ofprobability measures. In this paper, under somewhat weaker assumptions than those of Bryc,the author extends Bryc's results by taking the finer topology which is generated by the integralsover bounded measurable functions.

关键词： Large deviation Empirical measure Stationary sequence Φ-mixing τ-topology

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SULFATE RESISTANCE MECHANISM OF HIGH- PERFORMANCE CONCRETE CONTAINING NCI

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Journal of wuhan university of Technology(Materials Science) 1999年第1期14卷 6-15页

作者： MA Baoguo wuhan university of Technology wuhan university of Technology China Coll. of Mat. Sci. and Engineering Wuhan University of Technology Wuhan 430070 China

It is found that the incorporation of Nitrite Corrosion Inhibitor (NCI) greatly weakens the resistance of mixtures to sulfate attack. To study the mechanism of this phenomenon, in this paper, the influence of NCI addition on the cement paste and microstructure change of high performance concrete specimens is studied by means of quantitative XRD, SEM tests. The results demonstrate that the incorporation of NCI accelerates the formation of calcium hydroxide and ettringite crystals, and weakens the pore refinement effect caused by the secondary hydration reaction of fly ash and microsilica. At the age up to one year, the relative crystal quantity in mixture containing NCI is always higher than that in control mixture. The reasons for the degradation in sulfate resistance of mixtures may be attributed to the increase and stability of the calcium hydroxide and ettringite crystals formed and the weakening of secondary hydration reaction. Based on the results, conclusion can be drawn that NCI should be used cautiously in practical engineering where high resistance to sulfate attack is required. (Author abstract) 7.Refs.

关键词： nitrite corrosion inhibitor high-performance concrete microstructure sulfate resistance

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On the value distribution of Julia points

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Chinese Science Bulletin 1997年第22期42卷 1856-1857页

作者： SUN DaochunDepartment of Mathematics, wuhan university, wuhan 43007., China Department of Mathematics Wuhan University Wuhan China

CONSIDER the rational fractional mapping R: V→V on the complex sphere V. We use themethod of the value distribution to study the properties near Julia points to understand Juliapoints.

关键词： complex dynamics Julia point value distribution.

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AN APPLICATION OF EXTENSION THEORY TO THE EVALUATION OF SLOPE STABILITY

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Journal of wuhan university of Technology(Materials Science) 1999年第4期14卷 57-62页

作者： LIU Muyu wuhan university of Technology wuhan university of Technology China Inst. of Civ. Eng. and Architecture Wuhan University of Technology Wuhan 430070 China

The slope stability is affected by multiple factors. Thecomprehensive evaluation of the slope stability is a complicateproblem. The principles of extension theory have been used in thispaper to establish the matter-element model for the evaluation ofslope stability. The quantitative evaluated results have been giventhrough the calculation of the matter-element dependent degree.

关键词： extension theory matter-element model slope stability

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INFLUENCE OF AGING ON SERRATED FLOW OF ALUMINUM ALLOY LC9

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Acta Metallurgica Sinica(English Letters) 1992年第2期5卷 101-106页

作者： WU Min XU Yuehuang SHEN Gongtian wuhan university,wuhan,China wuhan Univ Wuhan China

The serratedflow of alloy LC9 with different regimes of heat treatment has been investigated at constant rate of *** critieal strain ε_c at the starting of serrated flow increases with the extension of *** activation energy of the process is 0.63 e V which is consistent with the diffusion activation energy of vacancies in *** ε_c decreases while the strain rate ε increases,i.e.,with negative strain rate *** relation is contrary to that of the an- nealed *** shows that the serrated 17.w of annealed sample is controlled by deformation vaeancies,and that of aged sample is controlled by quenching *** den- sity and shape of the serration are changed by *** mechanism of the above mentioned results is discussed.

关键词： serratedflow Cottrell atmosphere aging pinning and depinning

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A RAISED PANEL METHOD BASED ON NURBS FOR FREE-SURFACE POTENTIAL FLOWS WITH FORWARD SPEED

引用

Journal of Hydrodynamics 2003年第2期15卷 112-120页

作者： Gao Gao, Ma LingSchool of Transportion, wuhan university of Technology, wuhan 430063, China School of Transportion Wuhan University of Technology Wuhan 430063 China

A raised panel method based on NURBS (Non-Uniform Rational B-Splines) forfree-surface flows with forward speed is presented. In this generalized panel method, NURBS areemployed to represent the body geometry, disturbed free surface, and to express the unknown sourcestrength distribution, on the body surface and above the free surface. Compared with commonhigher-order panel methods, it has no need of adopting local coordinates. NURBS make the geometryrepresentation of the body shape and the wave pattern more precise. Raised panels above the freesurface produce less numerical dispersion error, need less CPU consumption and are helpful andcombined with collocation-point shifting up-stream, can satisfy the radiation condition *** using continuous and discrete Fourier analysis, numerical errors of this method are discussedand a general expression for the errors of numerical damping and dispersion, including the effectsof the vertical distance of singularities to the free surface, the order of singularity distributionrepresented by B-splines in panels, and collocation-point shifting is derived.

关键词： NURBS free-surface flow raised panel method error analysis B-spline

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SILYLATION OF CELLULOSE WITH TRICHLOROSILANE AND TRIETHOXYSILANE IN HOMOGENEOUS LiCl/N,N-DIMETHYLACETAMIDE SOLUTION

引用

Chinese Journal of Polymer Science 2000年第2期18卷 161-168页

作者： Hai-qing Liu Li-na Zhang Department of Chemistry, wuhan university, wuhan 43007., China wuhan Univ Dept Chem Wuhan 430072 Peoples R China

Silyl celluloses (SiC) were prepared by reacting cellulose with chloropropyltrichlorosilane (CPTCSi) and chloropropyltriethoxysilane (CPTESi) in LiCl/N,N-dimethylacetamide (DMAc). The Si content in the silyl cellulose could be controlled by adjustment of the molar ratio of silane and cellulose. FT-IR spectra showed that cellulose was readily reacted with the above two silane reagents, and the reactivity of CPTCSi is higher than that of CPTESi. It was presumed that the reaction process belongs to graft-polymerization. The results of differential thermal analysis (DTA) indicated that the thermostability of the materials produced increased with the increase of Si content in the sample. The acid resistance of the samples SiC in 1 mol/L HCl aqueous solution was improved significantly. When Si content was ca. 20%, the silyl cellulose has excellent thermostability, hydrophobicity, low density and stability in 1 mol/L HCl aqueous solution, owing to crosslinking of cellulose chain with silane.

关键词： sily cellulose chloropropyltrichlorosilane chloropropyltriethoxysilane LiCl/DMAc thermostability crosslinking

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