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When Shortages Lead to Export Restrictions: A Computation...
[Submitted on 30 May 2026] · 2026-06-02 · via math updates on arXiv.org

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Abstract:Globalization has enabled companies to leverage cost efficiencies; however, it has increased exposure to disruption risks that threaten supply stability. Among these, export bans have emerged as a systemic challenge, often arising as a secondary effect of conventional supply capacity disruptions. The pharmaceutical industry is particularly vulnerable to bans because of the criticality of keeping life-saving medications available, yet such disruptions also jeopardize patient health globally as well as challenge company operations. This paper proposes a supply chain design model that incorporates the relationship between conventional disruption risks (quality-related capacity failures and natural disasters) and export bans that may be induced when the drug is projected to be in short supply. The model is a two-stage stochastic mixed integer program, where the systemic setting yields a second-stage problem with one binary variable and continuous variables. The structure motivates the study of three tailored solution methods: the Alternating Integer L-shaped Cut, Alternating Disjunctive Cut, and Alternating Bilinear Cut methods. In the nearly-continuous second stage context, the Alternating Integer L-shaped cuts perform best. Using an oncology drug case study, we study effects of systemic, induced risk and quantify the value of incorporating disruptions into supply chain design.

Submission history

From: Emily Tucker [view email]
[v1] Sat, 30 May 2026 21:17:16 UTC (305 KB)