@article {Kazzazifhj.2020-0120, author = {Fawz Kazzazi and Diana Kazzazi and Kishore Kukendra-Rajah and Marina Basarab}, title = {What can we learn from supermarkets? An application of the Poisson distribution (order-up-to) model to improve blood culture bottle supplies}, elocation-id = {fhj.2020-0120}, year = {2021}, doi = {10.7861/fhj.2020-0120}, publisher = {Future Healthcare Journal}, abstract = {Background The order-up-to inventory model is a method for identifying and maintaining the optimal product level for items that that hold value over time and have recurring demand. Typically, supermarkets utilise it to manage stock-levels of non-perishable goods.Local problem This project aimed to improve blood culture bottle supplies following reports by junior doctors of shortages when dealing with septic/unwell patients.Methods Data regarding blood culture bottle use was acquired from four hospitals within one trust in London (245 wards). The mathematical {\textquoteleft}order-up-to{\textquoteright} inventory model (an iterative Poisson distribution) was applied to the 6 months{\textquoteright} data.Interventions The model found three predictable levels of demand to stock wards with no shortages in 99.3\% of circumstances (based on historical data). Wards were stocked with blood culture bottles as per their required demand.Results A collection method and infrastructure was designed to implement the new policy and was applied to a London tertiary centre. A review of doctors, nurses and ward-managers found significant improvements in supply with no shortages since the model was applied. Issues with the dataset were identified for intensive therapy unit / high dependency unit.Conclusions The {\textquoteleft}order-up-to{\textquoteright} inventory model provides a useful tool within hospitals for improving stock levels of blood cultures bottles and with that the satisfaction of trainees and patient safety.}, issn = {2514-6645}, URL = {https://www.rcpjournals.org/content/early/2021/06/24/fhj.2020-0120}, eprint = {https://www.rcpjournals.org/content/early/2021/06/24/fhj.2020-0120.full.pdf}, journal = {Future Healthcare Journal} }