On three and four vicious walkers

We establish a reflection principle for three lattice walkers and use this principle to reduce the enumeration of configurations of three vicious walkers to the enumeration of configurations of two vicious walkers. More precisely, the reflection principle leads to a bijection between three walks (L₁, L₂, L₃) such that L₂ intersects both L₁ and L₃ and three walks (L₁, L₂, L₃) such that L₁ intersects L₃. Hence we find a combinatorial interpretation of the formula for the generating function for the number of configurations of three vicious walkers, originally derived by Bousquet-Mélou by using the kernel method, and independently by Gessel by using tableaux and symmetric functions. This answers a question posed by Gessel and Bousquet-Mélou. We also find a reflection principle for four vicious walks that leads to a combinatorial interpretation of a formula derived from Gessel's theorem.     

Drinking: Another glass ceiling? Social drinking and alcohol use among women in Korea

Korean society is experiencing a rapid increase in alcohol consumption among women. Research on women's alcohol use has focused mostly on problems and pathological symptoms associated with alcohol use. Focusing only on problems of alcohol use risks overlooking some important social phenomena where alcohol use is a medium. We examined the association between marital status, childcare responsibility, employment status and social drinking behaviour. Our aim was to examine how these factors influence women's alcohol consumption in order to provide an empirical explanation of how the traditional division of labour limits women's social drinking practices. Findings show that women are structurally excluded from social drinking behaviour due to domestic responsibilities (as a wife and a mother). In other words, social drinking has become another glass ceiling for women. Key Practitioner Message: ● Attention should be given to structural influences on women's alcohol use; ● It is important to consider gender inequality in both formal and informal domains.     

A hybrid genetic algorithm for train sequencing in the Korean railway

This article addresses the train-sequencing problem encountered in the Korean railway. It first presents a mixed integer programming model for the problem, in which the mileage must be balanced for each train route, while various field constraints must be satisfied, including overnight stay capacity and maintenance allocation restrictions. Then, it proposes a hybrid genetic algorithm as a solution approach to the problem. The proposed algorithm utilizes a modified elite group technique along with two heuristic procedures based on the mixed integer programming model. Finally, the proposed solution approach is tested with real-world data from the Korean railway. Numerical experiments under different conditions indicate that the proposed solution approach to the train-sequencing problem is promising.     

Cost Allocation in Manufacturing–Remanufacturing Operations

For firms remanufacturing their products, the total life‐cycle costs and revenues from new and remanufactured products determine their profitability. In many firms, manufacturing/sales and remanufacturing/remarketing operations are carried out in different divisions. Each division is responsible for only part of the product's life cycle. Practices regarding transfer pricing across divisions vary significantly among companies, affecting the life‐cycle profit performance of the product. In this research, we identify characteristics of transfer prices that achieve the firm‐wide optimal solution. To this end, we consider a manufacturer who also undertakes remanufacturing operations and we focus on price (quantity) decisions. We determine that a cost allocation mechanism that allocates a portion of the initial production cost to each of the two stages of the product life cycle should be used. We also conclude that cost allocation should be implemented as a fixed cost allocation, where charges to the remanufacturing division should be determined independently of the actual quantity of units remanufactured.     

加强中印两大文明国之间的“恕道”

英文字＂empathy＂就是中国传统的＂恕道＂。泰戈尔象征印度对中国表达＂恕道＂的最高典范。尼赫鲁的《印度的发现》与尼勒卡尼新书在探讨印度时都不自觉地拿中国来陪衬,也是中印＂恕道＂的表现。不过后者对＂人口红利＂理论的探讨很深刻,但对中国的了解肤浅,甚至有所误解。中印两国应加强恕道,相互学习,共同发展。     

Effectiveness of Social Welfare Programmes in East Asia: A Case Study of Taiwan

Using the 2008 Family Income and Expenditure Survey, this study examined the effectiveness of social welfare programmes in Taiwan. The empirical evidence shows that most types of social welfare spending were limited in 2008. However, the social welfare programmes that were in place substantially reduced income inequality in Taiwan. Using the Organisation for Economic Co‐operation and Development (OECD) poverty threshold, the results reveal that 14 per cent of the sample's families were poor in terms of market income, but this figure decreased to 7 per cent after government intervention. Income inequality in Taiwan was similar to that of other East Asian countries such as Japan and South Korea, but Taiwan spent much less money on social welfare programmes than OECD countries, and therefore Taiwan's reduction of poverty was much lower as well.     

Competency‐based Education: Evidence from Social Work Postgraduates from Five Universities in China

Social work education in China has undergone rapid development during last two decades. However, methods to define, measure, and evaluate social work students' competency remain largely unexplored. In this study, we evaluated competency in graduate social work students in China and examined factors that impacted competency, based on learning theory. Findings indicated that knowledge and skills learned in class, field placement, and social context all have effects on competency. How students think about individual development and the social work profession has the most significant effect. These findings carry implications for social work education in the Chinese context. The rapid development of social work education in China requires the effective measurement and evaluation of students' core competencies.     

The Social Vulnerability Scale for Older Adults: An Exploratory and Confirmatory Factor Analytic Study

The Social Vulnerability Scale (SVS), a 22-item informant report of vulnerability to exploitation and, in particular, financial exploitation of older adults, was administered to 266 respondents who assessed the social vulnerability of a significant other aged 50 years or over, either a person with dementia or other neurological condition (n?=?116), or a healthy adult (n?=?150). Exploratory factor analysis in the combined sample revealed a 15-item two-factor solution labeled gullibility and credulity. Stability in factor structure was established in an independent sample (n?=?123) using confirmatory factor analysis, and sound reliability (internal consistency) and validity (known-groups) were demonstrated. The SVS15 is a potentially useful instrument for assessing older adults' vulnerability to exploitation.     

“Do They Think I Am a Pack Rat?”

This case study presents details of the life of one older man who lived in seclusion and squalor, surrounded by hoarded possessions. This man was one participant of a focused ethnography of eight older adults who received home care. All participants in the original ethnography were identified by their community care coordinators as exhibiting hoarding behaviors. The case study presented here provides rich narrative and photographic detail in order to add strength to what has already been presented in previous research articles about compulsive acquisition. The narratives reveal examples of debilitating dysfunction, distress associated with decision making, broad acquisition of free things, compulsive buying, and ritualistic discarding. Quotes included in the case study stem from the original ethnography.