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In a world where sustainability is a major aim at all socioeconomic levels, social entrepreneurship plays an important role in achieving the goals that have been set. The purpose of this study is to broaden the knowledge of social start-ups, social incubators and founding teams, highlighting the value of each one. The aim is to use quantitative analysis to determine the possible link between social incubators and social start-up success and identify the founding team profile of social start-ups from each sector according to a sector-based ranking.

Bootstrap data envelopment analysis (DEA) was used to calculate the efficiency of social incubators and social start-ups and thus quantify the impact, in terms of increased efficiency, of social incubators on social start-ups. Then, using cross-efficiency methodology, a synthetic index was used to analyse the founding team profile of social start-ups. The study is based on primary data from a survey of Spanish social incubators and social start-ups.

The study provides strong quantitative evidence of the positive effect of social incubators on the development of social start-ups. The size of this effect exceeds the know-how of start-ups. In terms of efficiency gains, this research quantifies the impact of social incubators on this entrepreneurial ecosystem. This impact exceeds 35%. The study also shows that the strongest social start-ups are in the food and information and communication technology (ICT) sectors. The founding teams in these cases have a strong business background, have a high educational level, receive subsidies and express a desire to retain control of the company.

There is an extensive literature dedicated to the analysis of the behaviour and characteristics of traditional incubators, accelerators and start-ups. However, despite the recent rise of social entrepreneurship, studies of social incubators and social start-ups remain scarce. This study provides two novel findings. (1) It shows the importance of creating a social start-up in a context where it receives support throughout all its development stages, providing quantitative insight into the contribution of social incubators and social start-ups. (2) It reveals the profile of founding teams in the highest-ranked business sectors.

Supply chains (SCs) have been growingly virtualized in response to the market challenges and opportunities that are presented by new and cost-effective internet-based technologies today. This paper designed a virtual closed-loop supply chain (VCLSC) network based on multiperiod, multiproduct and by using the Internet of Things (IoT). The purpose of the paper is the optimization of the VCLSC network.

The proposed model considers the maximization of profit. For this purpose, costs related to virtualization such as security, energy consumption, recall and IoT facilities along with the usual costs of the SC are considered in the model. Due to real-world demand fluctuations, in this model, demand is considered fuzzy. Finally, the problem is solved using the Grey Wolf algorithm and Firefly algorithm. A numerical example and sensitivity analysis on the main parameters of the model are used to describe the importance and applicability of the developed model.

The findings showed that the Firefly algorithm performed better and identified more profit for the SC in each period. Also, the results of the sensitivity analysis using the IoT in a VCLSC showed that the profit of the virtual supply chain (VSC) is higher compared to not using IoT due to tracking defective parts and identifying reversible products. In proposed model, chain members can help improve chain operations by tracking raw materials and products, delivering products faster and with higher quality to customers, bringing a new level of SC efficiency to industries. As a result, VSCs can be controlled, programmed and optimized remotely over the Internet based on virtual objects rather than direct observation.

There are limited researches on designing and optimizing the VCLSC network. This study is one of the first studies that optimize the VSC networks considering minimization of virtual costs and maximization of profits. In most researches, the theory of VSC and its advantages have been described, while in this research, mathematical optimization and modeling of the VSC have been done, and it has been tried to apply SC virtualization using the IoT. Considering virtual costs in VSC optimization is another originality of this research. Also, considering the uncertainty in the SC brings the issue closer to the real world. In this study, virtualization costs including security, recall and energy consumption in SC optimization are considered.

1. Investigates the role of IoT for virtual supply chain profit optimization and mathematical optimization of virtual closed-loop supply chain (VCLSC) based on multiperiod, multiproduct with emphasis on using the IoT under uncertainty.

2. Considering the most important costs of virtualization of supply chain include: cost of IoT information security, cost of IoT energy consumption, cost of recall the production department, cost of IoT facilities.

3. Selection of the optimal suppliers in each period and determination of the price of each returned product in virtual supply chain.

4. Solving and validating the proposed model with two meta-heuristic algorithms (the Grey Wolf algorithm and Firefly algorithm).

Investigates the role of IoT for virtual supply chain profit optimization and mathematical optimization of virtual closed-loop supply chain (VCLSC) based on multiperiod, multiproduct with emphasis on using the IoT under uncertainty.

Considering the most important costs of virtualization of supply chain include: cost of IoT information security, cost of IoT energy consumption, cost of recall the production department, cost of IoT facilities.

Selection of the optimal suppliers in each period and determination of the price of each returned product in virtual supply chain.

Solving and validating the proposed model with two meta-heuristic algorithms (the Grey Wolf algorithm and Firefly algorithm).

This study aims to assess the online presence of three Portuguese low-density territories and analyze the communication strategies employed by public and private entities within each municipality. The alignment between public and private entities within each municipality is also examined as a potential factor that could impact the effectiveness of digital communication strategies.

A qualitative methodology that employed content analysis and interviews to gather data from selected public and private entities in each of the municipalities under study was used.

Despite the widespread availability of digital communication tools, the municipalities under study are yet to fully exploit their potential to promote and publicize their offerings. This could be attributed to several factors such as a lack of knowledge and/or resources and a defective strategic approach to digital communication.

The major obstacle in maximizing the potential of digital communication tools in low-density destinations was not solely a result of restricted access. Rather, it was largely due to insufficient knowledge and resources required for their effective utilization, coupled with a lack of aligned vision among various stakeholders.

The competitive landscape in which tourist actors operate has transformed significantly because of the widespread adoption of digital communication led by social networks. However, studies exploring digital communication in low-density territories are still scarce. This study adds new insights into the main factors that hinder the efficient use of digital communication in these regions.