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This chapter of the book seeks to use famous mathematical functions (statistical distribution functions) in evaluating and analyzing supply chain network data related to supply chain management (SCM) elements in organizations. In other words, the main purpose of this chapter is to find the best-fitted statistical distribution functions for SCM data. Explaining how to best fit the statistical distribution function along with the explanation of all possible aspects of a function for selected components of SCM from this chapter will make a significant attraction for production and services experts who will lead their organization to the path of competitive excellence. The main core of the chapter is the reliability values related to the reliability function calculated by the relevant chart and extracting other information based on other aspects of statistical distribution functions such as probability density, cumulative distribution, and failure function. This chapter of the book will turn readers into professional users of statistical distribution functions in mathematics for analyzing supply chain element data.

Microenterprises (MEs) are vital to the growth and prosperity of economies around the world. All levels of society, from universities to national governments, have collaborated to improve the chances of survival and future growth of these businesses. The threat to life is serious, and unless concerted action is taken, the situation will spiral out of control. Policymakers and business leaders must work together to address the sustainability crisis. The study, therefore, set out to determine how various entrepreneurial skills (such as creativity, collaboration, networking, and risk-taking) affect the long-term viability of MEs. The overall objective of the study was to determine the importance of innovative problem-solving, collaboration, networking, and willingness to take calculated risks of microentrepreneurs for the long-term success of their businesses. A total of 274 microentrepreneurs in rural areas of the Ancash region of Peru were surveyed in the grocery, hardware, clothing, and food service sectors. The survival of the MEs was tested on four dimensions: innovation, leadership, networking, and risk-taking. According to the results, MEs managers can increase their longevity by cultivating creative skills, strengthening leadership as a key to business sustainability and survival, maximizing the use of networks to gain a market advantage and expand their customer base, and employing calculated risk-taking.