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Yannik Rist

Commercial Mathematician

Biarri Optimisation

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Yannik Rist is a Commercial Mathematician at Biarri Optimisation. He holds a PhD in Mathematics from the University of Queensland, where his research addressed scheduling and vehicle routing problems in ride sharing and supply chain settings, and a Bachelor of Advanced Science with First Class Honours, with an honours thesis on facility location in health and logistics. At Biarri he works on novel and technically demanding planning problems, including logistics network modelling and home health service delivery. He has also solved large-scale rostering and scheduling problems for aviation operators in Australia and internationally, where the interaction of regulatory constraints, workforce agreements and operational disruption closely parallels the conditions facing in-home aged care providers. His work focuses on formulating operational problems in ways that make their trade-offs measurable.

What Does Your Operating Model Cost? Modelling the Trade-Offs in In-Home Aged Care

A1 – Financial Sustainability & Support at Home Audience
24 November 2026
2.45pm – 3.15pm

In-home aged care providers hold commitments to clients and workers that they cannot easily walk back, against thin margins. Much of the effort to protect those margins goes into day-to-day decisions. But the limit on what those decisions can achieve is set earlier, by structural choices made long before: how wide service visit windows are, how many carers a client is promised, and how shifts are permitted to be constructed.

Providers set these parameters deliberately. Few can say what they cost. A commitment to a small, consistent care team carries a price in travel time, utilisation and cost per hour of care, and providers rarely quantify it before committing. As a provider grows, the same decisions compound.

Using advanced optimisation algorithms, we model how key decisions affect performance across a representative fortnight of service delivery, drawing on de-identified datasets from Australian providers in metropolitan and regional service areas. For each set of rules, we considered the best schedule achievable, rather than reproducing what a provider’s current process would produce. Our modelling accounts for travel time, award and enterprise agreement conditions, qualifications, client preferences and carer familiarity, and the scenarios tested reflect policies in use today. Outcomes are measured in cost, coverage, and the experience of clients and care workers.

We report findings on three levers.

  • Service visit window flexibility. Widening scheduling windows reduces travel time and improves utilisation. We quantify the effect on cost and coverage across the range of window widths providers use.
  • Care team size commitments. We present the trade-off curve between coverage and disruption, and what each additional carer admitted to a client’s team costs or saves.
  • Shift construction constraints. Limits on broken shifts, minimum engagement periods and the daily volume of domestic assistance shape how attractive shifts are to care workers. We report what tightening each beyond its award minimum costs, and where thresholds can be tightened cheaply.

Benchmark results are reported separately for metropolitan and regional service areas.

Attendees will leave with reference points for judging what their own structural commitments cost.