Sourcing decision under interconnected risks: an application of mean–variance preferences approach

• Published in: Annals of operations research 2022-06, Vol.313 (2), p.1243-1268
• Main Authors: Mukherjee, Soumyatanu, Padhi, Sidhartha S.
• Format: Article
• Language: English
• Subjects: Analysis; Business and Management; Combinatorics; Crude oil prices; Decision analysis; Decision making; Expected utility; Hurricanes; Manufacturers; Manufacturing; Mean; Methods; Operations management; Operations research; Operations Research/Decision Theory; Optimization; Preferences; Raw materials; Risk analysis; Risk assessment; S.I. : Risk Management Decisions and Value under Uncertainty; Sourcing; Supply and demand; Supply chains; Theory of Computation; Variance
• ISSN: 0254-5330; 1572-9338
• DOI: 10.1007/s10479-021-04485-3

Supply chains are customarily associated with multiple interconnected risks originated from supply side, demand side, or from the unanticipated background uncertainties faced by a firm. Also, effective functioning of supply chain hinges on sourcing decisions of inputs (raw materials). Therefore, there is a striking need to analyse the risk preference of the decision maker while going for optimal sourcing decision under varying degree of interconnected supply chain risks. This study addresses this issue by analysing the comparative static effects under interconnected supply chain risks for a risk averse decision-maker, manufacturing and selling products in a regulated market under perfect competition. The decision-maker faces not only supply-side risk (due to random input material prices) but also interconnected risks arising out of background risk (setup costs risk) and demand-side risk (output prices risk). With preferences defined over the mean and standard deviation of the uncertain final profit, this study illustrates the effects of the changes in the pairwise correlations between the three above mentioned risks on the optimum input choice of the manufacturer. To contextualise this study, an India-based generic drug manufacturer cum seller has been considered as a case in the parametric example of our model. Adaptation of the mean–variance framework helps obtaining all the results in terms of the relative trade-off between risk and return, with simple yet intuitive interpretations.