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Decision Optimization

Stochastic Optimization and Monte Carlo Methods for Supply Chain Resilience

Author: Zainab Jamshed
Published Date: 2025-01-15
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stochastic-supply-chain-optimization.pdf

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Executive Abstract & Summary

A rigorous mathematical evaluation of multi-echelon inventory networks under stochastic lead-time variance and geopolitical shocks using Monte Carlo scenario engines.

Methodology & Key Analysis

Abstract

Modern enterprise supply chains face unprecedented volatility from geopolitical disruptions, demand anomalies, and lead-time dispersion. Traditional deterministic reorder-point models fail to account for non-linear cascade failures across interconnected fulfillment nodes.

Central Engineering & Methodologies

  1. Stochastic Trajectory Simulation: Deployed 15,000 parallel Monte Carlo iterations per distribution node to evaluate stockout risk tails.
  2. Mixed-Integer Linear Programming (MILP): Optimized routing under strict service-level agreements (SLAs > 98.5%).
  3. Causal Lead-Time Feature Extraction: Quantified supplier delay probability distributions using multivariate regression.

Business & Strategic Outcomes

  • 24% Reduction in buffer holding inventory carrying costs.
  • 4.2% Uplift in service-level SLA fulfillment during holiday demand surges.
  • Zero Disruptions across primary regional delivery routes during simulated stress scenarios.

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