A primal-dual approximation algorithm for the Asymmetric Prize-Collecting TSP

We present a primal-dual ?log(n)?-approximation algorithm for the version of the asymmetric prize collecting traveling salesman problem, where the objective is to find a directed tour that visits a subset of vertices such that the length of the tour plus the sum of penalties associated with vertices not in the tour is as small as possible. The previous algorithm for the problem (V.H. Nguyen and T.T Nguyen in Int. J. Math. Oper. Res. 4(3):294–301, 2012) which is not combinatorial, is based on the Held-Karp relaxation and heuristic methods such as the Frieze et al.’s heuristic (Frieze et al. in Networks 12:23–39, 1982) or the recent Asadpour et al.’s heuristic for the ATSP (Asadpour et al. in 21st ACM-SIAM symposium on discrete algorithms, 2010). Depending on which of the two heuristics is used, it gives respectively 1+?log(n)? and $3+ 8\frac{\log(n)}{\log(\log(n))}$ as an approximation ratio. Our algorithm achieves an approximation ratio of ?log(n)? which is weaker than $3+ 8\frac{\log(n)}{\log(\log(n))}$ but represents the first combinatorial approximation algorithm for the Asymmetric Prize-Collecting TSP.     

Note on inventory models with Weibull distribution deterioration

This article explores the inventory model with a general demand rate function in which both the Weibull distributed deterioration and partial backlogging are considered. The inventory model discussed here is based on the important finding by Wu [Wu, K.S., 2001. An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging. Production Planning and Control, 12, 787–793]. There are four parts in our research. First, we derive the analytical framework of the inventory model for a general demand rate function1 1.?Based on detailed suggestions of Professor Wafik H. Iskander, Email: whiskander@mail.wvu.edu . Second, for the ramp type demand, we improve Wu's model to find the criterion to guarantee the existence and uniqueness of the optimal solution. Third, we develop a new model to compensate for the missing case in Wu's article. Fourth, we combine our results to show that our findings are applicable to the ramp type demand inventory model, so that the optimal solution is independent of the demand function. Finally, some numerical examples and graphs are provided to illustrate our discovery and demonstrate the application of our analytical framework.     

Criteria for the Unique Determination of Probability Distributions by Moments

A positive probability law has a density function of the general form Q ( x )exp(− x ^1/λ L ( x )), where Q is subject to growth restrictions, and L is slowly varying at infinity. This law is determined by its moment sequence when λ< 2, and not determined when λ> 2. It is still determined when λ= 2 and L ( x ) does not tend to zero too quickly. This paper explores the consequences for the induced power and doubled laws, and for mixtures. The proofs couple the Carleman and Krein criteria with elementary comparison arguments.     

SPECTRAL ANALYSIS IN BUSINESS FORECASTING: THE WIENER-KOLMOGOROV METHOD *

The objective of this paper is to introduce the Wiener-Kolmogorov (WK) method to business researchers and to applied workers who have an interest in spectral techniques. It is seen that the advantage of the WK method is that it provides better forecasts than autoregressive regression analysis when the order of the true autoregressive process is large. The paper outlines the steps involved in the WK method. Also discussed is a labor-saving feature to guide one at the outset as to whether the WK algorithm should be used. A numerical example is given to illustrate the application of the method in time-series forecasting.     

An Auditor's Perspective of Executive Incentive Pay and Dividend Payouts in Family Firms

Journal of Family and Economic Issues - In family firms, where the family and the business domains are intertwined, conflicts from one domain can spill over to the other. Agency conflicts in the...     

Responding to children’s ‘emotion talk’: a conversation analysis of a therapeutic encounter between a social worker and two siblings using child-centred play therapy

ABSTRACT

Reflection of feelings is a hallmark strategy of non-directive child-centred play therapy that enhances children’s emotional awareness and equips them with emotionally expressive words. The case presented here describes the application of child-centred play therapy by a social worker with two young children (aged four and six) with sibling rivalry issues. One of the sessions was videotaped, which enabled the use of conversation analysis to dissect the language patterns used by both the clients and the social worker. This in-depth verbal analysis illuminated subtle nuances in the children’s interactions and behaviour while also providing the social worker with the opportunity to reflect on practice. This case discussion presents a snapshot of that session and allows readers to understand how such therapy occurs.     

An Unfinished Reflexive Journey: Social Work Students' Reflection on their Placement Experiences

The fieldwork placement is recognized as one of the major componentsof social work education and a major determinant of its quality.A key aspect of the learning process in the fieldwork placementis the exposition of practice encounters to the students’critical reflection. Given the importance of the process of‘reflection’ or ‘reflective learning’,a qualitative study based on the reflective logs of social workstudents was conducted to explore the meaning of social workfield education and the learning experiences of social workstudents during their placement. The study findings revealedthat disturbing events experienced by students in their fieldworkwere a catalyst to their reflective process. Meanwhile, theirundue concern with knowledge and skills application within acircumscribed knowledge frame suggests the dominant influenceof scientism and competence-based practice in social work, inwhich learning outcomes and instrumental and technical reasoningare highly emphasized. Discovery of ‘self’ was alsothe major premise in the students’ reflection logs, inwhich a majority of them took their prevailing self-identityas a constant state to be verified in interaction with othersin the fieldwork placement. Reflexivity is manifested in askingfundamental questions about assumptions generated by formaland practice theories; it addresses the multiple interrelationsbetween power and knowledge, and acknowledges the inclusionof self in the process of knowledge creation in social workpractice. Its realization in social work education requiresthe social work educators’ reflexive examination of thedynamics that influence the construction of curriculum, whichin turn construct our prospective social workers.     

A sequential split-and-conquer approach for the analysis of big dependent data in computer experiments

Massive correlated data with many inputs are often generated from computer experiments to study complex systems. The Gaussian process (GP) model is a widely used tool for the analysis of computer experiments. Although GPs provide a simple and effective approximation to computer experiments, two critical issues remain unresolved. One is the computational issue in GP estimation and prediction where intensive manipulations of a large correlation matrix are required. For a large sample size and with a large number of variables, this task is often unstable or infeasible. The other issue is how to improve the naive plug-in predictive distribution which is known to underestimate the uncertainty. In this article, we introduce a unified framework that can tackle both issues simultaneously. It consists of a sequential split-and-conquer procedure, an information combining technique using confidence distributions (CD), and a frequentist predictive distribution based on the combined CD. It is shown that the proposed method maintains the same asymptotic efficiency as the conventional likelihood inference under mild conditions, but dramatically reduces the computation in both estimation and prediction. The predictive distribution contains comprehensive information for inference and provides a better quantification of predictive uncertainty as compared with the plug-in approach. Simulations are conducted to compare the estimation and prediction accuracy with some existing methods, and the computational advantage of the proposed method is also illustrated. The proposed method is demonstrated by a real data example based on tens of thousands of computer experiments generated from a computational fluid dynamic simulator.     

Types and dimensions of organization–public relationships in greater China

Public relations are the major force in the establishment of organization–public relationships (OPRs) in the United States and other countries. This study is a metaresearch that reports a meta-analysis of three studies on relationship management with publics in the greater China area, including mainland China and Hong Kong. A metaresearch is used to gain general and theoretical conclusions on a specific topic by synthesizing research results from similar studies [Grunig, J. E., Grunig, L. A., Sriramesh, K., Huang, Y. H., & Lyra, A. (1995). Models of public relations in an international setting. Journal of Public Relations Research, 7, 163–186]. The purpose of this study is to extend the concepts of relationship management to the Chinese context by investigating the types of relationships between organizations and the Chinese publics and other possible factors that affect the outcomes of the relationships. This article first provides a brief literature review on relationship management of public relations. It is followed by a report of the result analysis of the three studies in relation to OPR types and cultivation strategies. Finally, the research results, their implications, and future research directions will be discussed.     

A study of the Health of Children Born to Foreign- and Native-Born Mothers in Taiwan

This paper examined the health of children born to foreign-born and native-born mothers. Using a logistic methodology to analyze data from the 2008 Survey of Foreign and Mainland Chinese Spouses’ Living Demand and the 2005 National Health Survey of Children 12 Years old and under in Taiwan, the results showed girls were more likely to have better health than boys regardless of whether they were born to migrant or native-born mothers. In addition, a more significant effect was found for native-born fathers than foreign-born mothers on children’s health among transnational marriage families. Finally, household income might have a more significant impact on children’s health in native-born mothers’ families than those of foreign-born mothers.