exam-courseactive3 Yrs Solved PYQs
Logistics & Supply Chain Management
Value creation, adaptability, and sustainability across multi-echelon networks. Covers Fisher strategic fit, deterministic EOQ/EPQ, stochastic safety stocks, warehouse workflows, and 2023–2025 solved examinations.
Curriculum Faculty
Prof. Ajit MauryaProf. ManojProf. Praful More
1600×900 Active Stage
Visual Beat Series • Chapter 3
The Fortress of Uncertainty
Safety Stock & Service Level Volatility — Stochastic buffering under normal distributed lead-time demand.
Live Simulation Engine
Aspect: 16:9 (1600×900 Vector Canvas)Active Parameter Adjusters
Target Service Level (CSL)95 %
Supplier Lead Time (L)9 days
Daily Demand Std Dev12 units
Storyboard Beats & Narration
01
The Deterministic Mirage
"Operating with zero safety stock means you stock out in exactly 50% of your replenishment cycles whenever demand fluctuates normally around the mean."
Visual State:Show warehouse inventory dropping below zero line into red stockout territory.
02
The Gaussian Shield
"Injecting safety stock cushions the lower tail. Moving from 90% to 95% service level requires a modest buffer increase."
Visual State:Highlight normal distribution curve with shaded tail probability alpha.
03
The Asymptotic Penalty
"Pushing from 95% to 99.9% service level forces the Z-score from 1.645 to 3.09, doubling holding costs to protect against rare outliers."
Visual State:Animate exponential rise in total safety stock holding cost curve.
Concept Gate Verification Check
Which factor exerts the greatest mathematical leverage on safety stock expansion when lead time varies?
Pedagogical Explanation:In the formula SS = Z * sqrt(L * sigma_d^2 + d_bar^2 * sigma_L^2), d_bar is squared, meaning even small lead-time fluctuations get magnified by the square of daily sales.