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This study aims to compare linear programming and stable marriage approaches to the personnel assignment problem under conditions of uncertainty. Robust solutions should exhibit reduced variability of solutions in the presence of one or more additional constraints or problem perturbations added to some baseline problems.

Several variations of each approach are compared with respect to solution speed, solution quality as measured by officer-to-assignment preferences and solution robustness as measured by the number of assignment changes required after inducing a set of representative perturbations or constraints to an assignment instance. These side constraints represent the realistic assignment categorical priorities and limitations encountered by army assignment managers who solve this problem semiannually, and thus the synthetic instances considered herein emulate typical problem instances.

The results provide insight regarding the trade-offs between traditional optimization and heuristic-based solution approaches.

The results indicate the viability of using the stable marriage algorithm for talent management via the talent marketplace currently used by both the U.S. Army and U.S. Air Force for personnel assignments.

To explore and add insight to the online‐dating services phenomena which is the next product and beneficiary of the internet revolution that offers customers a convenient and affordable alternate to traditional methods of dating.

Empirically investigated through conceptual models and statistical methods was the value proposition of online matchmaking services, which boils down to the ability to provide appropriate matches through successfully business‐to‐customer (B2C) customer service enhanced by the web and based on sound customer relations management practices.

The differentiation of the marketplace includes unique ways to collect user‐based information and customized, proprietary algorithms that generate what are believed to be the best matches, based on user and matchmaking service criteria. Online dating services use statistics, data mining, and activity monitoring to provide appropriate matches; thus, differentiating their services and understanding the success of their product offering.

The basic strategic business model created by online dating industry that is researched in this paper is built around B2C customer service in a privacy and security conscious environment. Internet dating service providers are gaining increased acceptance though successful use of customized software that helps generate a potential valued‐added match for the masses.

What most companies do not define as clearly are the many privacy issues and possible protection against the people they may come in contact with through using these services. The industry has to be particular careful about the legal ramifications since much of the information it gathers from its customers must remain private and confidential in order to succeed and gain a larger market share.

It is apparent that online dating services are concerned with privacy and confidentiality issues as high priority by management. To date, no academic‐based research has surfaced concerning this emerging online industry and the information exchanges required to ensure a safe environment.

In recent decades, the student population in dormitories has increased notably, primarily attributed to the growing number of international students. Dormitories serve as pivotal environments for student development. The coordination and compatibility among students can significantly influence their overall success. This study aims to introduce an innovative method for roommate selection and room allocation within dormitory settings.

In this study, initially, using multi-attribute decision-making methods including the Bayesian best-worst method and weighted aggregated sum product assessment, the incompatibility rate among pairs of students is calculated. Subsequently, using a linear mathematical model, roommates are selected and allocated to dormitory rooms pursuing the twin objectives of minimizing the total incompatibility rate and costs. Finally, the grasshopper optimization algorithm is applied to solve large-sized instances.

The results demonstrate the effectiveness of the proposed method in comparison to two common alternatives, i.e. random allocation and preference-based allocation. Moreover, the proposed method’s applicability extends beyond its current context, making it suitable for addressing various matching problems, including crew pairing and classmate pairing.

This novel method for roommate selection and room allocation enhances decision-making for optimal dormitory arrangements. Inspired by a real-world problem faced by the authors, this study strives to offer a robust solution to this problem.

This chapter focuses on the heterogeneous pathways (including marital and cohabiting union and parenting histories) through which people navigate their family life courses from adolescence through mid-life, and their implications for union dissolution in middle and later life. The analyses draw on data (retrospective, cross-sectional) from the 2011 and 2017 Canadian General Social Surveys. The study sample includes individuals aged 50 and over (n = 14,547) who were in a union at age 50. Sequence analyses are used to identify the most common family life course trajectories among these individuals from adolescence through midlife (ages 15–50). Logistic regression analyses then address the implications of these trajectories for union dissolution in middle and later life (ages 50+). The results reveal four main family trajectories that characterize the earlier years of the adult life course: married with children, cohabiting with children, single or cohabiting without children, and married without children. These family trajectories, together with their level of complexity, play an important role in relation to both marital and cohabiting union dissolution outcomes in later life.

Textile manufacturers worldwide are reformulating their networks, often outsourcing them to maintain a competitive advantage and increase market share. From this perspective, the purpose of this study is support the partnership selection process to develop a sustainable chain that effectively meets customer needs. Brazil has the largest textile and apparel chain in the West and is distinguished by its completeness, from fiber production, spinning, weaving, knitting, finishing and sewing to fashion shows. However, a firm’s relationship, especially in the production stage, is based on informal contracts, which result in a negative operational impact.

A methodological framework was developed based on a stable matching process to determine the optimal supplier network structure. This study presents a model application for the denim apparel chain in northeast Brazil.

In these environments, providing choices and recommending suppliers can be beneficial for effectively attending to demand requests, reducing production costs and improving quality through collaboration with sense relationships in a network. Thus, this study presents a better match from the negotiators’ perspective.

The findings of this research are of primary interest for guiding collaborative network composition in the textile and apparel chain. In particular, apparel domain companies can improve their effectiveness in decision-making by measuring the characteristics and potential of all companies involved in networks.

This paper mainly focuses on how to induce all members to represent members' true preferences for supply and demand matching of E-commerce platform in order to generate stable matching schemes with more social welfare of Multi-agent Matching Platform (MMP) and individually stable advantages than traditional methods.

An MMP is designed. Meanwhile, a true preference inducing method, Lower-Bid Ranking (LBR), is proposed to reduce the number of false preferences, which is helpful to solve the problem that too much false preferences leads to low efficiency of platform operation and supply and demand matching. Then, a systematic model of LBR-based Stable Matching (SM-LBR) is proposed.

To obtain an ideal transaction partner, the adequate preference ordering and modifying according to market environment is needed for everyone, and the platform should give full play to the platforms' information advantages and process historical transaction and cooperation data. Meanwhile, the appropriate supply and demand matching is beneficial to improve the efficiency and quality of platform operation, and the design of matching guidance mechanism is essential.

The numerical experiments show that, the proposed model (SM-LBR) can induce members to represent the model's true preferences for stable matching and generate effective matchings with more social welfare of MMP and individually stable advantages than traditional methods, which may provide necessary method and model reference for the research of stable matching and E-commerce platform operation.

Comparative studies have confirmed that the current types of cohabitation (defined as living together as a couple without being married) and the meanings attached to them differ across Europe. This variation could reflect differences in the levels of progress or the stages countries have reached in a common developmental process, as suggested by the theory of the Second Demographic Transition and Kiernan’s stage model of cohabitation. However, it may also indicate that countries are on different developmental paths, as suggested by path dependency theories. To examine whether changes in the prevalence of cohabitation follow a common script, this study analyses types of cohabitation within emerging family formation patterns over cohorts and across countries.

For this purpose, sequence methodology is applied to analyze cohort-specific family trajectories in France, western Germany, Norway, and Italy. In particular, using data from the German National Educational Panel Study (NEPS) and the Generation and Gender Survey (GGS), patterns of union status and co-residence with (own) children between ages 15 and 35 among the 1935–1969 birth cohorts (for Germany, among the 1940–1974 birth cohorts) are compared.

Our findings provide some support for the claim that there were common patterns of change. However, also country-specific variations in family trajectory patterns were detected, which suggests that general processes of change were mediated through country-specific institutions (path dependencies). The empirical evidence for convergence as well as for divergence indicates that both theoretical strands add to our understanding of the spread of cohabitation in European countries.

Kinship structures in Ambridge have been analysed using social network analysis (SNA) showing a network of a ‘small world’ type with 75 individual people linked by birth or marriage. Further, the network shows four major cliques: the first two centred on Aldridge and Archer matriarchies and the second where through the marriages of the third generation the Grundies, Carters, Bellamies and Snells connect together. The chapter considers the possible futures for kinship networks in the village, arguing either a version of the status quo or The Headlam Hypothesis through which Archers assume less importance and the strength of the weak ties in the network assume more prominence.