BB·03 Operations Analysis Warehouse Logistics Capital Structure

Modeling the Economics of Robotics-as-a-Service

A warehouse internal logistics case study examining RaaS versus direct ownership — throughput modelling, fleet economics, and capital allocation under utilisation uncertainty.

RaaS vs. Ownership Utilisation Economics Programmable Infrastructure
01 / 10 — System Definition

Defining the Operational Unit

Internal logistics is the movement layer between storage, production, and dispatch. In a mid-size facility, this layer runs at high frequency across four categories — managed through human-operated forklifts with no system-level coordination.

ParameterValue
Facility footprint50,000 sq ft
Daily internal movements~8,000 / day
Primary resourceHuman forklift operators
Pallet transport Line feeding Storage relocation Dispatch staging
Internal logistics is a high-frequency, zero-margin-for-error operational layer. Throughput constraints here directly cap order fulfilment capacity — it is the binding constraint on warehouse output.
STORAGE RACKS DISPATCH STAGING OPERATOR 50,000 SQ FT (SCHEMATIC)
02 / 10 — Baseline Model

System Throughput Under Human Ops

Throughput Derivation

ParameterInputValue
Fleet sizeGiven10 operators
Output per operator / hrObserved avg~40 mov
Gross system throughput10 × 40400 mov/hr
Effective throughput (−15% idle)400 × 0.85~340 mov/hr
Operational throughput ceiling400 mov/hr

Annual Cost Structure

Cost ItemFormulaAmount
Operator monthly salaryMarket rate₹25,000
10-operator monthly payroll₹25,000 × 10₹2,50,000
Annual payroll₹2,50,000 × 12₹30,00,000
Daily output (2 shifts × 8 hrs)400 × 166,400 mov/day
Unit cost per movement₹4.69 / mov
400 mov/hr is a structural ceiling. Congestion rises nonlinearly past 10 operators — additional headcount degrades per-operator output without increasing system throughput.
Throughput Ceiling
400
mov / hr · hard limit
Annual Payroll
₹30L
10 operators · 12 months
Unit Cost / Movement
₹4.69
baseline human ops
CONGESTION MODEL — 10 OPERATORS PEAK UTILISATION CEILING · 400 MOV/HR
03 / 10 — AMR Fleet Model

AMR Fleet Throughput Model

Per-Robot Throughput Derivation

ParameterFormulaValue
Avg movement distanceWarehouse est.~60 m
Robot speedSpec1.5 m/s
Transit time per trip (1 way)60 ÷ 1.540 sec
Round trip + load/unload40×2 + 40 buffer~120 sec
Movements per robot / hr3600 ÷ 120 × eff.~80 mov/hr

Fleet Throughput Calculation

ItemFormulaResult
Throughput per robotDerived above80 mov/hr
Fleet sizeGiven10 robots
Fleet throughput / hr80 × 10800 mov/hr
Daily operating windowSpec20 hrs/day
Daily fleet output16,000 mov/day
Fleet throughput: 800 mov/hr — 2× the human baseline. Daily output of 16,000 movements covers the full demand envelope with 100% operational headroom for surge capacity.
500 KG PAYLOAD 20 hr/day 1.5 m/s FLEET · 10 UNITS
R01
R02
R03
R04
R05
R06
R07
R08
R09
R10
FLEET OUTPUT
800 mov/hr
Daily Fleet Output
16,000
movements / day · 20 hr window
04 / 10 — RaaS Model

RaaS: Procuring Throughput, Not Hardware

RaaS Cost Build-up

Line ItemFormulaAmount
Per-robot monthly feeSubscription rate₹90,000
Fleet sizeGiven10 robots
Monthly fleet cost₹90,000 × 10₹9,00,000
Annual fleet cost₹9,00,000 × 12₹1,08,00,000
Cost per movement₹1.08 Cr ÷ (8000 × 365)₹0.37 / mov

RaaS vs. Human Cost Comparison

ModelAnnual CostCost / Movement
Human forklift ops₹30,00,000₹4.69
RaaS subscription₹1,08,00,000₹0.37
Cost efficiency gain92% lower / mov
RaaS eliminates the ₹1.8 Cr capex decision entirely — automation capacity becomes a ₹1.08 Cr annual operating line. Fleet scaling is a contract amendment, not a capital allocation event.
CUSTOMER RECEIVES
Automation Capacity
SUBSCRIPTION CONTRACT
₹90,000 / robot / month
MAINTENANCE + SUPPORT
SLA-backed · Provider-managed
FLEET MANAGEMENT
Route Optimisation · WMS Integration
HARDWARE LAYER
10 × AMR Robots
ANNUAL FLEET COMMITMENT
₹1.08 Cr / yr
05 / 10 — Output Comparison

2× Throughput. Same Footprint.

Human Fleet
10 operators
400 MOV/HR
400/hr
AMR Fleet
10 robots (RaaS)
800 MOV/HR
800/hr
Metric Human Fleet AMR Fleet (RaaS) Δ Delta
Units in fleet10 operators10 robots
Output per unit / hr~40 mov~80 mov+100%
System throughput / hr400 mov800 mov+400 mov
Daily operating hours16 hrs (2 shifts)20 hrs+4 hrs
Daily movements output6,400 mov16,000 mov+9,600 mov
Demand coverage (8,000/day)80% capacity used50% capacity used+100% headroom
Continuity
20 hr
continuous daily operation
Routing
Zero Aisle Congestion
demand-driven scheduling
Headroom
+100%
surge capacity available
06 / 10 — Ownership Model

Direct Ownership: Capex Model

Capex Build-up

ItemFormulaAmount
Unit robot costMarket price₹18,00,000
Fleet sizeGiven10 units
Total capex outlay₹18,00,000 × 10₹1,80,00,000
Useful life (SLM)Assumed5 years
Annual depreciation₹1,80,00,000 ÷ 5₹36,00,000
Monthly depreciation₹36,00,000 ÷ 12₹3,00,000 / mo

Depreciation Schedule (SLM)

YearDepreciationCum. ChargedBook Value (EOY)
Year 1₹36,00,000₹36,00,000₹1,44,00,000
Year 2₹36,00,000₹72,00,000₹1,08,00,000
Year 3₹36,00,000₹1,08,00,000₹72,00,000
Year 4₹36,00,000₹1,44,00,000₹36,00,000
Year 5₹36,00,000₹1,80,00,000₹0 — fully depreciated
Straight-line depreciation: ₹36L / yr over 5 years. The full capex is charged to P&L as a non-cash expense — creating a deferred tax benefit analysed in the next section.
DEPRECIATION TIMELINE
CAPEX OUTLAY
₹1,80,00,000
Yr 1
₹36L
BV: ₹144L
Yr 2
₹36L
BV: ₹108L
Yr 3
₹36L
BV: ₹72L
Yr 4
₹36L
BV: ₹36L
Yr 5
₹36L
BV: ₹0
TOTAL DEPRECIATION (5 YRS)
₹1,80,00,000
07 / 10 — Tax Analysis

Depreciation as a Capital Tool

Straight-line depreciation creates a non-cash P&L charge that reduces taxable income without a cash outflow — improving ownership IRR relative to RaaS.

Scenario A — No Robot
EBIT (pre-depreciation)₹80,00,000
Less: Depreciation₹0
Taxable Income₹80,00,000
Tax @ 25%₹20,00,000
Net Profit (post-tax)₹60,00,000
Scenario B — Owns Robot
EBIT (pre-depreciation)₹80,00,000
Less: Depreciation (non-cash)−₹36,00,000
Taxable Income₹44,00,000
Tax @ 25%₹11,00,000
Net Profit (post-tax)₹69,00,000
ItemFormulaValue
Annual tax shield₹36L × 25%₹9,00,000 / yr
Cumulative shield (5 yrs)₹9L × 5₹45,00,000
Gross capex outlayGiven₹1,80,00,000
Effective net capex (post-shield)₹1.80 Cr − ₹0.45 Cr₹1,35,00,000
Annual Tax Shield
₹9L
per year · non-cash
5-Year Cumulative Shield
₹45L
reduces effective capex
Effective Net Capex
₹1.35 Cr
post tax shield
08 / 10 — Capital Allocation Framework

The Real Decision: Capital Structure Under Utilisation Uncertainty

This is not a technology decision. It is a capital structure decision — the choice between variable opex flexibility and the long-run cost efficiency of owned, fully-utilised assets.

Decision Factor
RaaS (Opex)
Ownership (Capex)
Upfront capital required
₹0 — fully variable
₹1.80 Cr at acquisition
Annual cash outflow
₹1.08 Cr / yr fixed
₹0 post-purchase
5-yr total outflow
₹5.40 Cr
₹1.35 Cr (post tax shield)
Balance sheet treatment
Off-balance · opex line
Fixed asset · on-balance
Tech obsolescence risk
Nil — provider's risk
Stranded asset exposure
Fleet scale flexibility
Contract amendment
Capital re-decision
Preferred utilisation scenario
Uncertain / seasonal
Predictable · >80%
Ownership advantage threshold
>80% utilisation over 3+ year stable horizon
Utilisation Certainty →
Low Util + Asset-Light
Neither
High Capex Appetite
Ownership
Uncertain Utilisation
RaaS ✓
High Util + Asset-Heavy
Ownership ✓
Low Capex Appetite Capex Appetite →
09 / 10 — Model Summary

Three-Scenario Comparison

Metric Human Ops RaaS Ownership
Upfront capex₹0₹0₹1.80 Cr
Annual recurring cost₹30L payroll₹1.08 Cr₹0 post-purchase
5-yr total cost₹1.50 Cr₹5.40 Cr₹1.35 Cr eff.
System throughput / hr400 mov800 mov800 mov
Unit cost per movement₹4.69₹0.37₹0.23 (5-yr avg)
Optimal scenarioLow volume, stableUncertain demandHigh utilisation (>80%)
Capital allocation · not tech selection  ·  Utilisation drives the decision  ·  Fleet software is the multiplier
10 / 10 — Systems Conclusion

Warehouse robotics is not about automation.

It is about converting internal logistics into programmable infrastructure — a schedulable, measurable, capital-allocatable system layer that responds to demand signals rather than shift structures.

Capital Decision
Opex vs Capex
structure drives the choice
Fleet Software
The Multiplier
route optimisation · WMS
Utilisation Threshold
>80%
ownership advantage point
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