GROUP-BUYING ONLINE AUCTION AND OPTIMAL INVENTORY POLICY IN UNCERTAIN MARKET

In this paper we consider a group-buying online auction (GBA) model for a monopolistic manufacturer selling novel products in the uncertain market. Firstly, we introduce the bidder's dominant strategy, after which we optimize the GBA price curve and the production volume together. Finally, we compare the GBA with the traditional posted pricing mechanism and find that the GBA is highly probable to be advantageous over the posted pricing mechanism in some appropriate market environments.     

Best linear unbiased disaggregation of annual GDP to quarterly figures: the case of Malaysia

Long series of quarterly GDP figures are still not available for many countries. This paper suggests an empirical procedure adapted from Chow and Lin (1971) to derive quarterly estimates from annual GDP figures and produces quarterly GDP by sectors for Malaysia from 1973Q1 onwards. A comparison of these estimates with some univariate interpolations using published quarterly figures for recent years show that the use of related series can produce substantially superior estimates of GDP compared to univariate methods. The data set is available from the authors. Copyright © 1998 John Wiley & Sons, Ltd.     

Nano-Structured Carbide-Derived Carbon Films and Their Tribology

Carbide-derived carbon （CDC） is a form of carbon produced by reacting metal carbides, such as SiC or TiC, with halogens at temperatures high enough to produce fast kinetics, but too low to permit the rearrangement of the carbon atoms into an equilibrium graphitic structure. The structure of CDC is derivative of the original carbide structure and contains nanoscale porosity and both sp2 and sp3 bonded carbon in a variety of nanoscale structures. CDC can be produced as a thin film on hard carbides to improve their tribological performance. CDC coatings are distinguished by their low friction coefficients and high wear resistance in many important industrial environments and by their resistance to spallation and delamination. The tribology of CDC coatings on SiC surfaces is described in detail.     

Batching Scheduling in a Two-Level Supply Chain with Earliness and Tardiness Penalties

This paper studies the batch sizing scheduling problem with earliness and tardiness penalties which is closely related to a two-level supply chain problem. In the problem, there are K customer orders, where each customer order consisting of some unit length jobs has a due date. The jobs are processed in a common machine and then delivered to their customers in batches, where the size of each batch has upper and lower bounds and each batch may incur a fixed setup cost which can also be considered a fixed delivery cost. The goal is to find a schedule which minimizes the sum of the earliness and tardiness costs and the setup costs incurred by creating a new batch. The authors first present some structural properties of the optimal schedules for single-order problem with an additional assumption (a): The jobs are consecutively processed from time zero. Based on these properties, the authors give a polynomial-time algorithm for single-order problem with Assumption (a). Then the authors give dynamic programming algorithms for some special cases of multiple-order problem with Assumption (a). At last, the authors present some structural properties of the optimal schedules for single-order problem without Assumption (a) and give a polynomial-time algorithm for it.     

Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects

This paper considers experimental situations where the interested effects have to be orthogonal to a set of nonnegligible effects.It is shown that various types of orthogonal arrays with mixed strength are A-optimal for estimating the parameters in ANOVA high dimension model representation.Both cases including interactions or not are considered in the model.In particularly,the estimations of all main effects are A-optimal in a mixed strength(2,2)_3 orthogonal array and the estimations of all main effects and two-factor interactions in G_1×G_2 are A-optimal in a mixed strength(2,2)_4 orthogonal array.The properties are also illustrated through a simulation study.     

Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations

In this paper,an approach of square coordinate transformation is proposed to approximate the spectral abscissa for continuous-time switched linear systems.By applying elementary transformations iteratively,a series of minimums of least μ1 matrix set measures are obtained,which are utilized to approximate the spectral abscissa of the switched system.The approach is developed into tractable numerical algorithms that provide upper bound estimates of the spectral abscissa.Numerical simulations show the effectiveness of the proposed method.     

Empirical likelihood for partially linear models under negatively associated errors

This paper proposes to use the blockwise empirical likelihood(EL) method to construct the confidence regions for the regression vector β in a partially linear model under negatively associated errors. It is shown that the blockwise EL ratio statistic for β is asymptotically χ~2 distributed. The result is used to obtain an EL-based confidence region for β. Results of a simulation study on the finite sample performance of the proposed confidence regions are reported.     

The equivalent representation of the breadth-one <Emphasis Type="Italic">D</Emphasis>-invariant polynomial subspace and its discretization

This paper demonstrates the equivalence of two classes of D-invariant polynomial subspaces, i.e., these two classes of subspaces are different representations of the breadth-one D-invariant subspace. Moreover, the authors solve the discrete approximation problem in ideal interpolation for the breadth-one D-invariant subspace. Namely, the authors find the points, such that the limiting space of the evaluation functionals at these points is the functional space induced by the given D-invariant subspace, as the evaluation points all coalesce at one point.     

Objective Bayesian analysis of degradation model with respect to a Wiener process

This paper proposes an objective Bayesian method to study the degradation model with respect to a Wiener process. The Jeffreys prior and reference prior for the parameters are derived, and the propriety of the posteriors under these priors is validated. Two sampling algorithms are introduced to compute the posteriors. A simulation study is conducted to investigate the performance of the objective Bayesian procedure. Finally, the authors apply the approach to a degradation data.