Multi-phase composite analytical model for integrated allocation-routing problem – application of blood bank logistics

The integrated problem of allocating and routing blood for a public and private health care system is addressed. We modelled the problem as multiple-vehicle, multi-depot, multi-criteria allocation-routing problem which is termed as integrated allocation-routing (IAR) problem. We propose a three-phase composite analytical model (CAM) to solve IAR problem for public sector blood banks and five-phase CAM for private sector blood banks. Models are developed based on the integration of analytic hierarchy process and mixed-integer linear programming model. Quality of both models is evaluated on randomly generated datasets and a real-life case study.