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Quantity discount contract for supply chain coordination with false failure returns

Quantity discount contract for supply chain coordination wit...

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International Conference on Natural Computation (ICNC)

作者： Ximin Huang Sin-Man Choi Wai-Ki Ching Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong China

Consumer return attracts more and more academic attention due to its rapidly expanding size, and a large portion of it falls into the category of false failure return, which refers to return without functional defect. In this paper, we exclusively consider profit results from exerting costly effort to reduce false failure returns in a reverse supply chain consisting of a retailer and a supplier. The supply chain as a whole has strong incentive to reduce false failure returns because it can avoid much reprocessing cost associated. But typically, retailers enjoy a full credit provided by suppliers in case of returns, and hence they may not have sufficient incentives to exert enough effort for supply chain profit maximization. In some scenarios they may even have the motivation to actually encourage such returns. We suggest using a coordination contract to resolve such profit conflicts. The contract we propose is a quantity discount contract specifying a payment to the retailer with an amount exponentially decreasing in the number of false failure returns. We give explicit forms of such contracts given different assumptions about distribution of the number of returns and we also prove that such contract is capable of increasing both retailer's and supplier's profit simultaneously. Besides, when the contract is used together with other forward supply chain coordination contracts in a closed-loop chain, it is shown that it can act to deter retailer's potential incentive to encourage false failure returns. Moreover, some modifications of the contract may lead to easy allocation of incremental profit within the supply chain.

关键词： Contracts Supply chains Marketing and sales Random variables Resource management Manufacturing Materials

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On improving incentive in a supply chain: Wholesale price contract vs quantity dependent contract

On improving incentive in a supply chain: Wholesale price co...

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International Conference on Computers & Industrial Engineering (CIE)

作者： Ximin Huang Sin-Man Choi Wai-Ki Ching Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong China

In this paper, we first study the performance of a supply chain consisting of one retailer and one supplier. The supplier sets the price scheme of some goods and the retailer then decides the order level and sells the goods in the market. Specifically, a quadratic cost function is assumed here to approximate the U-shape cost curve commonly observed in industries. Two kinds of contracts offered by the supplier are investigated, namely wholesale price contract and quantity dependent contract. Wholesale price is fixed under the first contract but varies depending on order level under the second one. We show that certain wholesale price contract successfully induces the retailer to order at a level such that supply chain profit is maximized, but extra cost in implementation may occur due to supplier's disagreement on this price. Given this, we propose an efficiency measure to show to what extent the wholesale price contract helps to increase supply chain profit. For quantity dependent contract, we show that it can coordinate the supply chain and leads to a proportional division of supply chain profit. We then generalize the analysis to cover the case of multiple retailers and single supplier where similar results are also obtained.

关键词： Contracts Supply chains Cost function Biological system modeling Equations Elasticity

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A New Estimation Method for Multivariate Markov Chain Model with Application in Demand Predictions

A New Estimation Method for Multivariate Markov Chain Model ...

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International Conference on Business Intelligence and Financial Engineering, BIFE

作者： Dong-Mei Zhu Wai-Ki Ching Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong China

In this paper, we propose a new estimation method for the parameters of a multivariate Markov chain model. In the new method, we calculate the correlations of the sequences first and establish multivariate Markov chain models for those positively correlated sequences. The parameters are estimated by minimizing the error of prediction. We apply the method to demand predictions for a soft-drink company in Hong Kong. Numerical experiments are given to show the effectiveness of our proposed method.

关键词： Markov processes Predictive models Marketing and sales Numerical models Biological system modeling Companies Data models

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Inducing optimal service capacities via performance-based allocation of demand in a queueing system with multiple servers

Inducing optimal service capacities via performance-based al...

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International Conference on Computers & Industrial Engineering (CIE)

作者： Sin-Man Choi Ximin Huang Wai-Ki Ching Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong China

In this paper, we study the use of performance-based allocation of demand in a multiple-server queueing system. The same problem with two servers have been studied in the literature. Specifically, it has been proposed and proved that the linear allocation and mixed threshold allocation policies are, respectively, the optimal state-independent and state-dependent allocation policy in the two-server case. The multiple-server linear allocation has also been shown to be the optimal state-independent policy with multiple servers. In our study, we focus on the use of a multiple-server mixed threshold allocation policy to replicate the demand allocation of a given state-independent policy to achieve a symmetric equilibrium with lower expected sojourn time. Our results indicate that, for any given multiple-server state-independent policy that prohibits server overloading, there exists a multiple-server mixed threshold policy that gives the same demand allocation and thus have the same Nash equilibrium (if any). Moreover, such a policy can be designed so that the expected sojourn time at a symmetric equilibrium is minimized. Therefore, our results concur with previous two-server results and affirm that a trade-off between incentives and efficiency need not exist in the case of multiple servers.

关键词： Servers Resource management Nash equilibrium Manganese Book reviews Cost function Queueing analysis

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Support Vector Machine methods for the prediction of cancer growth

Support Vector Machine methods for the prediction of cancer ...

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3rd International Joint Conference on Computational Sciences and Optimization, CSO 2010: Theoretical Development and Engineering Practice

作者： Chen, Xi Ching, Wai-Ki Aoki-Kinoshita, Kiyoko F. Furuta, Koh Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong Hong Kong Department of Bioinformatics Faculty of Engineering Soka University Tokyo Japan Division of Clinical Laboratories National Cancer Center Hospital Tokyo Japan

ISBN: (纸本)9780769540306

In this paper, we study the application of Support Vector Machine (SVM) in the prediction of cancer growth. SVM is known to be an efficient method and it has been widely used for classification problems. Here we propose a classifier which can differentiate patients having different levels of cancer growth with a high classification rate. To further improve the accuracy of classification, we propose to determine the optimal size of the training set and perform feature selection using rfe-gist, a special function of SVM. © 2010 IEEE.

关键词： Support vector machines

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Performance Analysis based Markov Theory for Hybrid Control Serial Production Lines

Performance Analysis based Markov Theory for Hybrid Control ...

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2010 Chinese Control and Decision Conference

作者： Wai-Ki Ching Advanced Modeling and Applied Computing Laboratory Department of MathematicsThe University of Hong KongPokfulam RoadHong Kong

This paper studied a multiple-stage tandem production *** control strategy is Hybrid which combines Kanban and CONWIP strategy *** objective here is to evaluate the performance of the system by Markov chain *** focus on Work-In-Process(WIP) and lost rate of the *** general it is hard to obtain an exact analytical result of the *** some approximation methods are proposed here.A simple situation is considered and formulated as a Markov chain *** we derive the steady-state probability of the system for two and three machines case,and obtain the WIP and the lost *** formulations proposed show the connection of control cards and performance *** method can extended to the case of multiple machines. We also present the results of a simulation study that tests the performance of our approach.

关键词： Production Systems hybrid Kanban CONWIP Markov Steady-state Probability Distribution.

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On Construction of Sparse Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix

On Construction of Sparse Probabilistic Boolean Networks fro...

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第四届最优化与系统生物学国际研讨会

作者： Lu-Bin Cui Wen Li Wai-Ki Ching School of Mathematical Sciences South China Normal University Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hong Kong

Probabilistic Boolean Networks (PBNs) are useful models for modeling genetic regulatory networks. In this paper, we propose efficient algorithms for constructing a sparse probabilistic Boolean network when its transition probability matrix and a set of possible Boolean networks are given. This is an interesting inverse problem in network inference and it is important in the sense that most microarray data sets are assumed to be obtained from sampling the steady-state.

关键词： Probabilistic Boolean Networks Inverse Problem Sparse Transition Probability Matrix

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Delay Discrete Dynamical Models for Genetic Regulatory Networks

Delay Discrete Dynamical Models for Genetic Regulatory Netwo...

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第四届最优化与系统生物学国际研讨会

作者： Hao Jiang Wai-Ki Ching Kiyoko F.Aoki-Kinoshita DianJing Guo Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of Hong Kong Department of Bioinformatics Faculty of Engineering Soka UniversityTokyo Japan Department of Biology The Chinese University of Hong Kong

In this paper, we study the problem of constructing a regulatory network of yeast in oxidative stress process. Discrete Dynamic System (DDS) model has been introduced in describing Gene Regulatory Networks (GRNs). However, delay effect was not taken into consideration within the model. A Time-delay DDS model composed of linear difference equations is developed to represent temporal interactions among significantly expressed genes. Interpolation and re-sampling are imposed to equalize the non-uniformity of sampling time points. Statistical significance plays an active role in obtaining the optimal interaction matrix of GRNs. The constructed gene network using linear multiple regression has a very good match with the original data. Simulation results are given to demonstrate the effectiveness of our proposed model.

关键词： Gene Regulatory Networks Linear Multiple Regression Discrete Dynamic System Model k-means Clustering

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Support Vector Machine Methods for the Prediction of Cancer Growth

Support Vector Machine Methods for the Prediction of Cancer ...

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The Third International Joint Conference on Computational Science and Optimization(第三届计算科学与优化国际大会 CSO 2010)

作者： Wai-Ki Ching Xi Chen Kiyoko F. Aoki-Kinoshita Koh Furuta The Advanced Modeling and Applied Computing Laboratory Department of Mathematics The University of H Department of Bioinformatics Faculty of Engineering Soka University Tokyo Japan Division of Clinical Laboratories National Cancer Center Hospital Tokyo Japan

ISBN: (纸本)9781424468126;9780769540306

关键词： Support vector machines Cancer Support vector machine classification Metastasis Training data Neoplasms Degradation Lymph nodes Diseases Optimization methods

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Option Valuation under a Multivariate Markov Chain Model

Option Valuation under a Multivariate Markov Chain Model

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International Joint Conference on Computational Sciences and Optimization, CSO

作者： Na Song Wai-Ki Ching Tak-Kuen Siu Eric S. Fung Michael K. Ng The Advanced Modeling and Applied Computing Laboratory Department of Mathematics University of Hong Kong Hong Kong China Department of Actuarial Studies Faculty of Business and Economics Macquarie University Sydney Australia Department of Mathematics Hong Kong Baptist University Hong Kong China

ISBN: (纸本)9781424468126;9780769540306

In this paper, we develop an option valuation model in the context of a discrete-time multivariate Markov chain model using the Esscher transform. The multivariate Markov chain provides a flexible way to incorporate the dependency of the underlying asset price processes and price multi-state options written on several dependent underlying assets. In our model, the price of an individual asset can take finitely many values. The market described by our model is incomplete in general, hence there are more than one equivalent martingale pricing measures. We adopt conditional Esscher transform to determine an equivalent martingale measure for option valuation. We also document consequences for option prices of the dependency of the underlying asset prices described by the multivariate Markov chain model.

关键词： Cost accounting Context modeling Mathematical model Discrete transforms Pricing mathematics Lattices Explosives Economic indicators Security

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