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We study the problem of finding optimal locations for a suite of defense assets in order to protect high-value tactical and strategic infrastructure across a vast geographical area. To this end, we present a multi-type with non-overlapping coverage requirement as an extension to the classical formulation for the maximal covering location problem (MCLP).

In our case study, we use open source geographic and demographic data from Canadian sources as inputs to our optimization problem. Due to the complexity of the MIP formulation, we propose a hybrid metaheuristic solution approach, for which a genetic algorithm (GA) is proposed and integrated with local and large neighborhood search operators.

Extensive numerical experiments over different instances of the proposed problem indicate the effectiveness of the GA-based solution in reducing the solution time by a factor of ten compared to the CPLEX commercial solver while both approaches obtain solutions of similar quality.

This research is limited to location planning of defense assets leveraging geospatial data of Canada. However, the diverse Canadian geography is among the most challenging given broad variability in population density and the vast size of the country leading to a large search space having substantial variability in fitness performance.

Our findings demonstrate that for large-scale location searches, the GA with a local neighborhood search performs very well in comparison to CPLEX but at a fraction of the execution time.

Our findings provide insight into how to make improved decisions for the placement of deterrence and defense systems and the effectiveness of a hybrid metaheuristic in addressing associated computational challenges.

Despite the well-documented importance of empathy and mentoring in entrepreneurship, there is a need for a deeper understanding of how empathy influences individuals’ “willingness to be mentored”.

This paper investigates gender differences in “Willingness to be mentored” based on the mentor’s types of empathy (cognitive vs affective) and entrepreneurship (social vs for-profit). Drawing on the personal identification and the entrepreneurship literature, we measured the respondents’ “Willingness to be mentored” by manipulating the type of empathy and entrepreneurship and comparing its effect between male and female respondents. Primary survey data were collected from master’s degree students in entrepreneurship from diverse business schools. An explanatory qualitative study on female start-uppers complemented the findings.

The results from the quantitative study show that female respondents prefer to be mentored by an entrepreneur who exhibits some affective empathy rather than only cognitive empathy, with a preference for a social entrepreneur. The qualitative study confirms the evidence. This research contributes to the discussion on developing social capabilities to succeed in new ventures. It extends our understanding of the importance of empathic entrepreneurs as mentors to foster entrepreneurship among women.

Theoretically, we demonstrate the existence of a gender difference in “Willingness to be mentored” based on the type of empathy displayed by the entrepreneur. Additionally, we introduce a new construct in the entrepreneurship literature, “Willingness to be mentored”, and differentiate it from “Attitude toward entrepreneurship”.