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Week 11 | Session 5: Network Optimization with Capacity Constraints & Supply Chain Control Tower

Course: Supply Chain Digitization — Module 4: Digital Infrastructure



Part 1 — Network Optimization with Capacity Constraints

Section titled “Part 1 — Network Optimization with Capacity Constraints”

1. Model Modification — Replacing Big M with Actual Capacity

Section titled “1. Model Modification — Replacing Big M with Actual Capacity”

In Session 4, factories and DCs had unlimited capacity represented by M (a very large number). This session replaces M with actual facility capacity — making the model more realistic.

Session 4 (unlimited capacity):

Σj xij ≤ M × yi ∀i

This session (realistic capacity):

Σj xij ≤ CapFac_i × yi ∀i (CapFac_i = actual capacity of factory i)
Σk qjk ≤ CapDC_j × zj ∀j (CapDC_j = actual capacity of DC j)
  • If yᵢ = 0 (factory closed): RHS = 0 → cannot ship anything.
  • If yᵢ = 1 (factory open): RHS = CapFac_i → limited to actual production capacity.

2. Capacity Constraint Applied — Aurangabad Factory

Section titled “2. Capacity Constraint Applied — Aurangabad Factory”

Capacity constraint added only at Aurangabad; Nashik and both DCs remain unconstrained.

SKUMin Throughput/yr (units)Max Throughput/yr (units)Nashik Capacity
SKU 110,00025,000Unlimited (no constraint)
SKU 210,00025,000Unlimited (no constraint)
SKU 310,00025,000Unlimited (no constraint)
SKU 410,00025,000Unlimited (no constraint)

Purpose: study how adding a capacity constraint at one facility changes the optimal network.


3. Results — With vs Without Capacity Constraint

Section titled “3. Results — With vs Without Capacity Constraint”
AspectWithout Constraint (Session 4)With Constraint (This Session)
Capacity constraintM (unlimited) for all facilitiesAurangabad: min 10,000 / max 25,000 units per SKU/year
Nashik factoryNot openedOpened — needed to supplement Aurangabad’s limited capacity
Aurangabad factoryOpened — sole factoryOpened — but constrained
VAPI DCOpenedOpened
V1D DCNot openedNot opened
Product flowAurangabad → VAPI → all 4 marketsAurangabad + Nashik → VAPI → all 4 markets
Total Profit$5.9 million$1.4 million
Profit impactDrop of ~$4.5 million due to capacity limit
  • Aurangabad is capped at 25,000 units/SKU/year — not enough to serve all doubled demand alone.
  • To meet the full demand at all 4 markets, the model must open Nashik factory as well.
  • Nashik has higher production cost ($7/unit vs $5/unit) → reduces profit significantly.

Definition: a centralized hub that provides real-time visibility and command over every facet of the supply chain.

  • Enables businesses to oversee and govern extensive SC activities through a unified platform.
  • End-to-end integrated with all information management systems (ERP, WMS, TMS, IoT, etc.).
  • Connects: raw material suppliers → sub-suppliers → manufacturers → distributors → retailers → consumers.

Use Case / IndustryChallenge → How Control Tower Helps
FMCG — Snacks (Sunflower Oil SC)Multiple geographically spread suppliers, seasonal demand, varying lead times, transport disruptions. CT provides: real-time tracking of raw material from supplier to plant. CT action: truck delayed due to accident → CT auto-reroutes shipment or expedites another → prevents production stoppage. Result: reduced transport + holding costs; better procurement agility.
FMCG — Dairy / Perishable FoodsNational DC network + refrigerated truck fleet; complex routing; no real-time visibility. CT integrates AI-ML + real-time traffic data → optimizes delivery routes + schedules. Considers traffic, weather, order volume → on-time delivery + minimum fuel consumption. Dispatchers can track shipment location, condition, provide accurate ETA.
Paint Manufacturing (Multi-plant)Multiple plants across regions, inventory optimization across plants + DCs, varied supplier lead times. CT provides: real-time visibility of production + inventory at ALL facilities simultaneously. Production managers + central planners collaborate to address breakdowns, material shortages. CT extends to suppliers: monitors raw material availability → auto-adjusts production plan.

CapabilityWhat it Does
Real-time VisibilityEnd-to-end view of entire SC — location, inventory, shipments, production — all in real time
Data IntegrationPulls data from ERP, WMS, TMS, IoT sensors, GPS, supplier systems into one unified platform
Process AutomationAutomates repetitive SC processes — order generation, dispatch scheduling, alerts
Data Analytics & InsightsAnalyzes SC data → actionable insights for managers (dashboards, KPI reports)
Demand & Supply ForecastingPredicts future demand and supply using AI/ML → enables proactive planning
Production Planning & ControlDetermines what to produce, where, how much — across multiple plants — optimally
Inventory OptimizationFinds optimal inventory levels at each factory and DC — balances understocking vs overstocking
Exception ManagementDetects disruptions (road block, supplier delay, equipment failure) → auto-triggers recovery action
KPI TrackingContinuous monitoring of key performance indicators — flags underperforming areas immediately
Decision SupportReal-time analytical decision-making support — not just visibility, but recommendations

Exception management example: truck en route hits a road blockage → CT detects → auto-reroutes to fastest alternate path → customer receives on time.


  • Improved service level: deliveries on time, demand met, fewer stockouts.
  • Reduced cost: optimized routes, reduced excess inventory, less disruption-related loss.
  • Revenue maximization: demand captured, fewer lost sales due to stockouts or delays.
  • Increased efficiency: automation of non-value-added tasks, better resource allocation.
  • Better collaboration: shared visibility with SC partners across regions and time zones.
  • Compliance & governance: monitors regulatory requirements; signals violations automatically.
  • Continuous improvement: KPI tracking identifies weak areas; enables data-driven improvement cycles.
  • Disruption response: auto-identifies alternate supplier or route when primary fails.

8. Technologies Needed to Build a Control Tower

Section titled “8. Technologies Needed to Build a Control Tower”
TechnologyRole in Control Tower
Data Integration PlatformsERP, WMS, TMS, IoT sensors, GPS — collect data from all SC nodes into one view
Collaboration & Communication ToolsSeamless communication + information sharing across all SC stakeholders (different regions, time zones)
BlockchainEnhances transparency, traceability and security in SC transactions and data exchanges
Analytics & VisualizationDashboards that visualize KPIs in real time; analytics tools for insights and automated decisions
AI & ML AlgorithmsForecasting (demand + supply), disruption recovery plans, inventory optimization, production scheduling
Optimization AlgorithmsCompute optimal production plans, inventory levels, delivery routes — the prescriptive layer of the CT
Cloud InfrastructureStores vast SC data; enables real-time access from anywhere; supports collaboration + AI/ML compute

SessionKey Topics
S1DT introduction: definition, 5 types (product → network of networks), 4 enabling technologies, 3 DT components
S2GFA case: optimization model, 3 distance formulas, Excel Solver (GRG Non-linear). Result: DC at Mumbai.
S3GFA hands-on: Excel formula chain (d_long→d_lat→A→C→dist), SUMPRODUCT, AnyLogistix multi-SKU demo.
S4Network Optimization: 4 decision variables (yᵢ, zⱼ, xᵢⱼ, qⱼₖ), maximize profit model, Big M, flow balance. Result: Aurangabad + VAPI, profit $5.9M.
S5Network Optimization with capacity constraints: replace M with actual capacity. Result: both factories needed, profit drops to $1.4M. + Supply Chain Control Tower.

  • Capacity constraint modification: replace M with CapFac_i (or CapDC_j) in capacity constraints. One change; big impact.
  • Result with capacity: Aurangabad capped → Nashik must also open → profit drops $5.9M to $1.4M.
  • Managerial insight: capacity constraints force more expensive alternatives — real-world trade-off of facility sizing.
  • Control tower: centralized hub → real-time end-to-end visibility + automated decision support + KPI monitoring.
  • 3 use cases: FMCG raw material (sunflower oil) | Dairy perishables + routing | Paint multi-plant inventory.
  • 10 capabilities: visibility, integration, automation, analytics, forecasting, production planning, inventory, exception mgmt, KPI tracking, decision support.
  • 7 technologies: Data integration | Collaboration | Blockchain | Analytics + visualization | AI/ML | Optimization | Cloud.