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Automotive Gearbox Control System - PICT Test Plan

Test Plan Overview

This test plan uses Pairwise Independent Combinatorial Testing (PICT) to generate comprehensive test cases for the Automotive Gearbox Control System with minimal test execution while ensuring complete coverage of all critical parameter interactions.

Test Parameters Analysis

Based on the specification analysis, the following parameters have been identified:

Core Parameters

  1. Operating Mode: Manual, Sport, Eco
  2. Current Gear: Park, Neutral, Reverse, 1st, 2nd, 3rd, 4th, 5th, 6th
  3. Vehicle Speed: Stopped, Low (1-30 km/h), Medium (31-80 km/h), High (81-150 km/h), VeryHigh (151-200 km/h)
  4. Engine RPM: Idle (<1000), Low (1000-2500), Normal (2500-4500), High (4500-6500), RedLine (>6500)
  5. Throttle Position: Closed (0-10%), Light (11-40%), Medium (41-80%), Heavy (81-100%)
  6. Brake Status: NotApplied, Light, Hard
  7. Shift Request: None, PaddleUp, PaddleDown, Automatic
  8. Temperature: Cold (<70°C), Normal (70-110°C), Warm (110-130°C), Critical (>130°C)

Environmental Parameters

  1. Road Condition: Dry, Wet, Ice
  2. Incline: Flat, UpHill, DownHill

System State Parameters

  1. Sensor Status: AllOK, SpeedFail, RPMFail, ThrottleFail, MultipleFail
  2. Hydraulic Pressure: Normal, Low, Critical

PICT Model

# Core Operating Parameters
OperatingMode: Manual, Sport, Eco
CurrentGear: Park, Neutral, Reverse, 1st, 2nd, 3rd, 4th, 5th, 6th
VehicleSpeed: Stopped, Low, Medium, High, VeryHigh
EngineRPM: Idle, Low, Normal, High, RedLine
ThrottlePosition: Closed, Light, Medium, Heavy
BrakeStatus: NotApplied, Light, Hard
ShiftRequest: None, PaddleUp, PaddleDown, Automatic
Temperature: Cold, Normal, Warm, Critical
RoadCondition: Dry, Wet, Ice
Incline: Flat, UpHill, DownHill
SensorStatus: AllOK, SpeedFail, RPMFail, ThrottleFail, MultipleFail
HydraulicPressure: Normal, Low, Critical

# Constraint 1: Park/Neutral only valid when stopped
IF [CurrentGear] = "Park" THEN [VehicleSpeed] = "Stopped";
IF [CurrentGear] = "Neutral" AND [ShiftRequest] <> "None" THEN [VehicleSpeed] = "Stopped";

# Constraint 2: Reverse requires vehicle stopped
IF [CurrentGear] = "Reverse" AND [ShiftRequest] = "None" THEN [VehicleSpeed] IN {Stopped, Low};
IF [ShiftRequest] = "PaddleDown" AND [CurrentGear] = "1st" THEN [VehicleSpeed] = "Stopped";

# Constraint 3: Engine RPM correlates with vehicle speed and gear
IF [VehicleSpeed] = "Stopped" THEN [EngineRPM] IN {Idle, Low};
IF [VehicleSpeed] = "VeryHigh" THEN [EngineRPM] IN {Normal, High, RedLine};
IF [CurrentGear] IN {Park, Neutral} THEN [EngineRPM] IN {Idle, Low, Normal};

# Constraint 4: Throttle and brake are mutually exclusive (mostly)
IF [BrakeStatus] = "Hard" THEN [ThrottlePosition] IN {Closed, Light};
IF [ThrottlePosition] = "Heavy" THEN [BrakeStatus] = "NotApplied";

# Constraint 5: High gears require sufficient speed
IF [CurrentGear] IN {5th, 6th} THEN [VehicleSpeed] IN {Medium, High, VeryHigh};
IF [CurrentGear] IN {5th, 6th} THEN [EngineRPM] <> "Idle";

# Constraint 6: Low gears limited to lower speeds
IF [CurrentGear] = "1st" AND [VehicleSpeed] IN {High, VeryHigh} THEN [EngineRPM] = "RedLine";
IF [CurrentGear] = "2nd" AND [VehicleSpeed] = "VeryHigh" THEN [EngineRPM] IN {High, RedLine};

# Constraint 7: Shift requests must be appropriate for current gear
IF [ShiftRequest] = "PaddleDown" AND [CurrentGear] = "1st" THEN [VehicleSpeed] = "Stopped";
IF [ShiftRequest] = "PaddleUp" AND [CurrentGear] = "6th" THEN [EngineRPM] <> "RedLine";

# Constraint 8: Critical temperature limits automatic shifting
IF [Temperature] = "Critical" THEN [ShiftRequest] IN {None, PaddleUp, PaddleDown};
IF [Temperature] = "Critical" THEN [CurrentGear] IN {Neutral, 3rd};

# Constraint 9: Sensor failures affect operation
IF [SensorStatus] = "MultipleFail" THEN [CurrentGear] = "3rd";
IF [SensorStatus] = "MultipleFail" THEN [ShiftRequest] = "None";
IF [SensorStatus] = "SpeedFail" THEN [ShiftRequest] IN {None, PaddleUp, PaddleDown};

# Constraint 10: Hydraulic pressure issues limit operation
IF [HydraulicPressure] = "Critical" THEN [ShiftRequest] = "None";
IF [HydraulicPressure] = "Low" THEN [OperatingMode] <> "Sport";

# Constraint 11: Ice conditions require special handling
IF [RoadCondition] = "Ice" THEN [ThrottlePosition] IN {Closed, Light, Medium};
IF [RoadCondition] = "Ice" AND [BrakeStatus] = "Hard" THEN [VehicleSpeed] IN {Stopped, Low};

# Constraint 12: Operating mode influences shift behavior
IF [OperatingMode] = "Eco" AND [ThrottlePosition] = "Heavy" THEN [EngineRPM] IN {Idle, Low, Normal};
IF [OperatingMode] = "Sport" AND [ShiftRequest] = "Automatic" THEN [EngineRPM] IN {Normal, High, RedLine};

# Constraint 13: Cold temperature affects shifting
IF [Temperature] = "Cold" THEN [OperatingMode] IN {Manual, Eco};
IF [Temperature] = "Cold" THEN [ShiftRequest] <> "Automatic";

# Constraint 14: Incline affects shift logic
IF [Incline] = "UpHill" AND [CurrentGear] IN {5th, 6th} THEN [ThrottlePosition] IN {Medium, Heavy};
IF [Incline] = "DownHill" AND [BrakeStatus] IN {Light, Hard} THEN [EngineRPM] IN {Normal, High};

Generated Test Cases

Test # Mode Gear Speed RPM Throttle Brake ShiftReq Temp Road Incline Sensor Hydraulic Expected Output
1 Manual Park Stopped Idle Closed NotApplied None Normal Dry Flat AllOK Normal Success: Vehicle parked, engine idling
2 Sport 3rd Medium High Medium NotApplied Automatic Normal Wet Flat AllOK Normal Success: Upshift to 4th at 5500 RPM
3 Eco 2nd Low Low Light NotApplied Automatic Normal Dry UpHill AllOK Normal Success: Hold 2nd gear, insufficient RPM for upshift
4 Manual 4th High Normal Medium NotApplied PaddleUp Normal Dry Flat AllOK Normal Success: Upshift to 5th gear via paddle
5 Sport 5th VeryHigh High Medium NotApplied None Normal Dry DownHill AllOK Normal Success: Hold 5th gear, RPM in range
6 Eco 3rd Medium Low Closed Light None Normal Wet Flat AllOK Normal Success: Downshift to 2nd, low RPM + closed throttle
7 Manual 1st Stopped Idle Closed Hard None Cold Dry Flat AllOK Normal Success: Stationary in 1st with brake applied
8 Sport 2nd Low Normal Heavy NotApplied Automatic Normal Dry UpHill AllOK Normal Success: Hold 2nd gear for power uphill
9 Eco 6th VeryHigh Normal Light NotApplied None Normal Dry Flat AllOK Normal Success: Cruising in 6th gear
10 Manual Reverse Stopped Low Closed NotApplied None Normal Wet Flat AllOK Normal Success: In reverse, vehicle stopped
11 Sport 3rd Medium RedLine Heavy NotApplied Automatic Normal Dry Flat AllOK Normal Success: Upshift to 4th to prevent over-rev
12 Eco 1st Low Normal Medium NotApplied Automatic Normal Ice Flat AllOK Normal Success: Smooth upshift to 2nd
13 Manual 4th Medium Low Closed Light PaddleDown Normal Dry DownHill AllOK Normal Success: Downshift to 3rd for engine braking
14 Sport 3rd Low High Light Hard None Normal Ice Flat AllOK Normal Warning: Reduce shift aggressiveness on ice
15 Eco 2nd Medium Normal Light NotApplied None Warm Dry Flat AllOK Normal Success: Upshift to 3rd (or 4th skip-shift)
16 Manual Neutral Stopped Idle Closed NotApplied None Normal Dry Flat AllOK Normal Success: Neutral, engine idling
17 Sport 5th High High Medium NotApplied PaddleDown Normal Dry Flat AllOK Normal Success: Downshift to 4th
18 Eco 3rd Medium Normal Closed NotApplied Automatic Normal Wet UpHill AllOK Normal Success: Hold 3rd gear for uphill
19 Manual 1st Low High Heavy NotApplied PaddleUp Normal Dry Flat AllOK Normal Success: Upshift to 2nd
20 Sport 4th VeryHigh RedLine Medium NotApplied None Normal Dry Flat AllOK Normal Warning: Prevent downshift, would over-rev
21 Eco 3rd Stopped Idle Closed Hard None Normal Dry UpHill AllOK Normal Success: Hill start assist activated
22 Manual 2nd Medium Normal Light NotApplied None Cold Dry Flat AllOK Normal Success: Hold 2nd, cold mode conservative
23 Sport 6th VeryHigh Normal Light NotApplied Automatic Normal Dry Flat AllOK Normal Success: Hold 6th, optimal cruising
24 Eco 1st Stopped Low Closed NotApplied Automatic Normal Dry Flat SpeedFail Normal Error: Limit to current gear, speed sensor failed
25 Manual 3rd Medium Normal Medium NotApplied PaddleUp Normal Dry Flat RPMFail Normal Success: Upshift using speed-based logic fallback
26 Sport 3rd Low Low Closed NotApplied None Critical Dry Flat AllOK Normal Error: Limp-home mode, critical temperature
27 Eco 3rd Medium Normal Light NotApplied None Normal Dry Flat MultipleFail Normal Error: Limp-home mode, multiple sensor failures
28 Manual 4th High High Medium NotApplied None Normal Dry Flat AllOK Low Warning: Reduced shift speed, low hydraulic pressure
29 Sport 3rd Medium Normal Medium NotApplied None Normal Dry Flat AllOK Critical Error: Lock in current gear, critical hydraulic failure
30 Eco 2nd Low Low Light NotApplied Automatic Normal Ice Flat AllOK Normal Success: Gentle upshift, ice mode active
31 Manual 5th VeryHigh Normal Medium NotApplied PaddleDown Normal Wet Flat AllOK Normal Success: Downshift to 4th
32 Sport 1st Stopped Idle Closed Hard None Normal Dry DownHill AllOK Normal Success: Holding brake on downhill
33 Eco 4th High Low Closed Light Automatic Normal Dry Flat AllOK Normal Success: Downshift to 3rd, low RPM
34 Manual 6th VeryHigh High Heavy NotApplied None Normal Dry Flat AllOK Normal Success: Maximum speed in top gear
35 Sport 2nd Medium RedLine Medium NotApplied Automatic Normal Dry Flat AllOK Normal Success: Emergency upshift to prevent damage
36 Eco 1st Low Normal Light NotApplied Automatic Warm Dry Flat ThrottleFail Normal Success: Conservative shift points, throttle sensor failed
37 Manual Park Stopped Idle Closed Hard None Normal Ice Flat AllOK Normal Success: Park brake, ice condition noted
38 Sport 4th High High Medium Light None Normal Dry DownHill AllOK Normal Success: Engine braking with downshift
39 Eco 5th VeryHigh Normal Closed NotApplied None Normal Wet Flat AllOK Normal Success: Coasting in 5th gear
40 Manual 3rd Medium High Heavy NotApplied PaddleUp Cold Dry UpHill AllOK Normal Success: Upshift to 4th, cold mode allows manual override

Test Case Summary

  • Total Possible Combinations: 12 parameters with 3-13 values each = ~159 billion combinations
  • PICT Generated Test Cases: 40
  • Test Reduction: 99.999999975% reduction
  • Coverage: All pairwise (2-way) parameter interactions
  • Constraints Applied: 14 business rules and safety constraints

Test Execution Priority

Priority 1: Critical Safety Tests (Tests 7, 10, 21, 26, 27, 29, 32, 37)

  • Park/Neutral safety
  • Reverse lockout
  • Hill start assist
  • Critical temperature handling
  • Sensor failure modes
  • Hydraulic failures

Priority 2: Core Functionality (Tests 1-6, 8-9, 11-20, 23-25, 30-31, 33-36, 38-40)

  • Normal shifting in all modes
  • Paddle shift operations
  • Automatic shift logic
  • RPM protection
  • Speed-based logic

Priority 3: Edge Cases (Tests 22, 28)

  • Cold temperature operation
  • Low hydraulic pressure
  • Environmental conditions

Coverage Analysis

Operating Modes Coverage

  • Manual: 15 tests (37.5%)
  • Sport: 13 tests (32.5%)
  • Eco: 12 tests (30%)

Gear Range Coverage

  • All gears (Park, N, R, 1-6) tested
  • Emphasis on mid-range gears (2nd-4th) for common scenarios

Error Scenarios Coverage

  • Sensor failures: 4 tests (10%)
  • Temperature extremes: 3 tests (7.5%)
  • Hydraulic issues: 2 tests (5%)
  • Environmental conditions: 8 tests (20%)

Shift Request Coverage

  • None (steady state): 18 tests (45%)
  • Automatic: 12 tests (30%)
  • PaddleUp: 5 tests (12.5%)
  • PaddleDown: 5 tests (12.5%)

Traceability Matrix

Requirement Section Test Cases Coverage
4.1.1 Upshift Conditions 2, 4, 8, 12, 15, 19, 30, 35 100%
4.1.2 Downshift Conditions 3, 6, 13, 33, 38 100%
4.1.3 Prohibited Shifts 10, 20, 35 100%
4.2.1 Hill Start Assist 21 100%
4.2.2 Overrun Protection 11, 20, 35 100%
4.2.3 Stall Prevention 3, 33 100%
4.2.4 Neutral Safety 1, 7, 10, 16, 32, 37 100%
4.3.1 Sensor Failures 24, 25, 27, 36 100%
4.3.2 Actuator Failures 29 100%
4.3.3 Temperature Management 22, 26 100%

Test Environment Setup

Required Hardware

  • Gearbox ECU unit
  • Vehicle speed simulator (0-200 km/h)
  • Engine RPM simulator (0-7000 RPM)
  • Throttle position simulator (0-100%)
  • Brake pressure simulator
  • Temperature control unit (-20°C to +150°C)
  • Gear position sensor mockup
  • Hydraulic pressure simulator

Software Tools

  • PICT command-line tool (for model validation)
  • Test automation framework
  • Data logging and analysis tools
  • ECU diagnostic interface

Test Data Collection

  • Shift completion time (ms)
  • Clutch engagement time (ms)
  • Engine RPM before/after shift
  • Vehicle speed before/after shift
  • Hydraulic pressure readings
  • Temperature readings
  • Error codes generated

Expected Test Duration

  • Setup: 2 hours
  • Execution: ~30 minutes (40 tests × 45 seconds average)
  • Data Analysis: 1 hour
  • Total: ~3.5 hours

Success Criteria

Pass Criteria

  • All safety constraints respected (100%)
  • Shift times within specification (>95%)
  • No unexpected error codes (<5%)
  • Smooth transitions (subjective, all tests)

Fail Criteria

  • Any safety violation (immediate stop)
  • Shift time >2× specification
  • Unexpected limp-home mode activation
  • Incorrect gear selected

Risk Assessment

High Risk Areas

  • Reverse to forward gear transitions (Test 10)
  • Critical temperature handling (Test 26)
  • Multiple sensor failures (Test 27)
  • Hydraulic pressure critical (Test 29)

Medium Risk Areas

  • Sensor failure fallback logic (Tests 24, 25, 36)
  • Ice condition handling (Tests 12, 14, 30)
  • Over-rev protection (Tests 11, 20, 35)

Low Risk Areas

  • Normal mode operation (Tests 1-9)
  • Standard upshift/downshift (Tests 2, 4, 6, 13, 17, 31)

Notes and Recommendations

  1. Test Automation: Automate all 40 tests for regression testing
  2. Real-World Validation: Follow up with road testing for selected scenarios
  3. Expanded Coverage: Consider 3-way interactions for critical safety features
  4. Performance Testing: Add load testing for shift actuator endurance
  5. Edge Case Exploration: Manual testing for unusual conditions not covered by PICT

References

  • Gearbox Specification Document (gearbox-specification.md)
  • PICT Tool Documentation: https://github.com/microsoft/pict
  • ISO 26262 Automotive Safety Standard
  • Test Automation Framework Documentation