PSI SQUARE • case study • ai agents

AI Voice Agent for Inbound Call Handling

An autonomous AI voice agent built with Vapi, ElevenLabs, and OpenAI GPT-4o to handle 24/7 inbound enquiries, lead qualification, and calendar bookings for a UK service business — replacing a manual intake bottleneck and answering 100% of out-of-hours calls with zero human intervention.

ElevenLabsOpenAI GPT-4oTwilio Telephonyn8n WorkflowsVapi Voice AIHubSpot CRM
THE CHALLENGE

The challenge

A UK service business was losing high-intent customer leads during evenings, weekends, and peak operational hours due to missed inbound phone calls. With no budget for a 24/7 dedicated reception team, manual callback attempts suffered from high drop-off rates and lost revenue to competitors who answered immediately.

Key Project Constraints & Operational Requirements

24/7 Zero-Wait Call Answering

Instant pickup within two rings on all inbound business lines with zero wait times or dropped calls

Ultra Low-Latency Speech

Sub-800ms voice roundtrip with dynamic interruption handling for natural human-like conversations

Accurate Multi-Step Qualification

Context-aware inquiry triage, caller intent extraction, and strict business rule validation

Live Calendar & CRM Integration

Real-time slot availability checking, instant appointment booking, and automatic CRM activity logging

Intelligent Human Warm Transfer

Dynamic SIP call bridging to on-duty team members when high-value VIP or emergency criteria are met

THE SOLUTION

The solution

PSI Square engineered an autonomous voice agent using Vapi for sub-second orchestration, ElevenLabs for natural voice synthesis, OpenAI GPT-4o for conversational intelligence, and an n8n webhook pipeline connecting directly to HubSpot CRM and Google Calendar.

Voice Layer

Conversational Voice Engine

Vapi + ElevenLabs + GPT-4o

Neural Voice Synthesis & STT

Custom-tuned ElevenLabs voice clone paired with Deepgram Nova-2 speech recognition for sub-second, crystal-clear natural speech.

Contextual Reasoning & Knowledge Retrieval

OpenAI GPT-4o processes caller inquiries with custom prompt guards, company FAQ ingestion, and real-time structured function calling.

Natural Interruption Handling

Advanced voice activity detection (VAD) allows callers to interrupt naturally mid-sentence without jarring robotic speech overlaps.

Workflow Automation

Telephony & CRM Workflow Pipeline

Twilio + n8n + HubSpot

SIP Trunking & Phone Number Management

Twilio SIP trunk routing connects existing local business lines directly to the voice orchestrator with carrier-grade uptime.

Real-Time n8n Event Pipelines

Automated webhook triggers fetch real-time calendar availability, book appointments, and generate instant summary notifications.

Complete CRM Sync & Audio Archiving

Call transcripts, audio recordings, structured qualification tags, and contact records automatically logged to HubSpot CRM.

THE ARCHITECTURE

Technical architecture

Production telemetry and component specifications for high-reliability telephony, sub-second LLM reasoning, and automated CRM logging.

Voice Platform
Vapi (voice AI orchestration & latency optimization)
Speech-to-Text
Deepgram Nova-2 (real-time sub-300ms transcription)
LLM Engine
OpenAI GPT-4o (structured function calling & reasoning)
Voice Synthesis
ElevenLabs (custom low-latency neural voice)
Telephony Layer
Twilio SIP Trunking (UK local & toll-free numbers)
Workflow Pipeline
n8n (webhook endpoints & business logic routing)
CRM & Calendar
HubSpot CRM + Google Calendar API integration
Latency Benchmark
<800ms end-to-end voice roundtrip
Human Fallback
Live SIP warm transfer + urgent SMS/Slack alerts
VERIFIED OUTCOME

Verified outcome

Measured call completion rates and operational triage performance validated across live production caller volume.

100%
Out-of-hours calls answered
Zero missed inquiries outside office hours
<800ms
Conversational response latency
Human-like conversational pacing & pauses
70%+
Automated qualification rate
Callers qualified & booked directly to calendar

Zero Missed Inquiries & Automated Calendar Growth

Within the first month of deployment, the AI voice agent answered 100% of inbound calls outside regular business hours, completely eliminating missed-call lead loss. Over 70% of inbound callers were successfully qualified and booked directly into the team calendar without any manual staff involvement. The business scaled inquiry volume without increasing reception payroll.

GET IN TOUCH

Ready to build your AI voice agent?

Tell us about your call handling challenge. We'll scope it, design it and deliver it to production standard.

Or email info@psi-square.net · Phone +44 (0) 20 3872 7195 · We reply within 24 hours · NDA available on request