Abstract
The outbreak of an infectious disease may put significant pressure on a healthcare system, especially when there is a surge of patients. In this paper, we develop two simulation models: (1) disease outbreak model and (2) a medication inventory model. These two models are used to identify inventory policies for managing medication during disease outbreaks. Specifically, we use historical influenza data as an input to the inventory simulation model, which incorporates the impact of disease spread, patients’ health conditions, and medication shelf life. We formulate a dynamic program and use a reduced version of this model to provide inputs to our inventory simulation model. We compare three different simulation-based policies and perform sensitivity analysis on several parameters such as the gross attack rate and inventory holding cost parameters. Our results provide insight regarding the management of perishable medication inventory at hospitals during an outbreak of an infectious disease.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chung KJ and Ting PS (1993) A heuristic for replenishment of deteriorating items with a linear trend in demand. Journal of the Operational Research Society 44 (12), 1235–1241.
Dudden RF, Corcoran K, Kaplan J, Magouirk J, Rand DC and Smith BT (2006) The medical library association benchmarking network: results. Journal of the Medical Library Association 94 (2), 118–129.
Dutta P and Chakraborty D (2010) Incorporating one-way substitution policy into the newsboy problem with imprecise customer demand. European Journal of Operational Research, 99–110.
Dye C, Chang H and Teng J (2006) A deteriorating inventory model with time-varying demand and shortage-dependent partial back logging. European Journal of Operational Research 4 (72), 417–429.
Fritze J (2010) Medical expenses have ‘very steep rate of growth’. USA TODAY [WWW document] http://www.usatoday30.usatoday.com/news/health/2010–02–04–health–care–costs_N.html.
Goh H, Greenberg BS and Matsuo H (1993) Two-stage perishable inventory mo dels. Management Science 39 (5), 633–649.
Goyal SK and Giri BC (2001) Recent trends in modeling of deteriorating inventory. European Journal of Operational Research 134 (1), 1–16.
Grinstead C and Snell J (1997) Introduction to Probability. American Mathematical Society.
Haijema R, van der Wal J and van Dijk NM (2007) Blood platelet production: optimization by dynamic programming and simulation. Computers Operations Research 34 (3), 760–779.
Heng KJ, Labban J and Linn RJ (1991) An order-level lot size inventory model for deteriorating items with finite replenishment rate. Computers and Industri al Engineering 20 (2), 187–197.
Hethcote HW (2000) The mathematics of infectious diseases. SIAM Review 42(4), 559–653.
Hollier RH and Mak KL (1983) Inventory replenishment policies for deteriorating items in a declining market. International Journal of Production R esearch 21 (6), 813–826.
Kanchanasuntorn K and Techanitisawad A (2006) An approximate periodic model for fixed-life perishable products in a two-echelon inventory distribution system. International Journal of Production Economics 100 (1), 101–115.
Liu L and Lian Z (1999) (s,S) continuous review models for inventory with fixed lifeti mes. Operations Research 74(1), 150–158.
Meltzer MI, Cox NJ and Fukuda K (1999) The economic impact of pandemic influenza in the United States: priorities for intervention. Emerging Inf ectious Diseases 5 (5), 659–671.
Molinari NM et al (2007) The annual impact of seasonal influenza in the US: Measurin g disease burden and costs. Vaccine 25 (27), 5086–5096.
Nahmias S (1982) Perishable inventory theory: a review. Operations Research 30 (4), 680–708.
Nandakumar P and Morton TE (1993) Near myopic heuristic for the fixed life perisha bility problem. Management Science 39 (12), 1490–1498.
Perry D (1997) A double band control policy of a Brownian perishable inventory system. Probability in Engineering and Informational Sciences 11 (3), 361–373.
Raafat F (1991) Survey of literature on continuously deteriorating inventory models. Journals and Operational Research Society 42 (1), 27–37.
Raafat F, Wolfe PM and Eldin HK (1991) An inventory model for deterioratin g items. Computers and Industrial Engineering 20 (1), 89–94.
Seasonal Flu. (2009) Nebraska Department of Health and Human Service. [WWW document] http://www.hhs.state.ne.us/han/update042909–2.pdf.
Seasona l Influenza. (2010) Center for Disease Control and Prevention. [WWW document] http://www.cdc.gov/flu/about/qa/disease.htm.
Table NA-EST2002–01 — National Population Estimates: April 1, 2000 to July 1, 2002. (2002) Population Division, U.S. Census Bureau [WWW document] http://www.census.gov/popest/archives/2000s/vintage_2002/NA-EST2 002–01.html.
Table NC-EST2007–01 — Annual Estimates of the Population by Sex and Five-Year Age Groups for the United States: April 1, 2000 to July 1, 2007. (2007) Population Division, U.S. Census Bureau [WWW document] http://www.census.gov/popest/national/asrh/NC-EST2007-sa.html.
Thompson W et al (2003) Mortality associated with influenza and respiratory syncytial virus in the United States. JAMA: The Journal of the American Med ical Association 289 (2), 179–186.
Thompson W et al (2004) Influenza-associated hospitalizations in the United States. JAMA: The Journal of the American Medical Association 292(11), 1333–1340.
Vila-Parrish A, Ivy JS and King RE (2008) A simulation-based approach for inventory modeling of perishable pharmaceuticals. Proceedings of the 2008 Winter Simulation Conference, 1532–1538.
Vila-Parrish A, Ivy J, King R and Abel S (2012) Patient-based pharmaceutical inventory management — a two-stage inventory and production model for perishable products with Markovian demand. Health Systems 1 (1), 69–83.
Xu H and Wang H (1990) An economic ordering policy model for deteriorating items with time proportional demand. European Journal of Operational Research 46 (1), 21–27.
Xu H and Wang H (1992) Optimal inventory policy for perishable items with time proportional demand. IIE Transactions 24 (5), 105–110.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Copyright information
© 2016 Operational Research Society
About this chapter
Cite this chapter
Vila-Parrish, A.R., Ivy, J.S., He, B. (2016). Impact of the Influenza Season on a Hospital from a Pharmaceutical Inventory Management Perspective. In: Mustafee, N. (eds) Operational Research for Emergency Planning in Healthcare: Volume 1. The OR Essentials series. Palgrave Macmillan, London. https://doi.org/10.1057/9781137535696_11
Download citation
DOI: https://doi.org/10.1057/9781137535696_11
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-1-349-56809-3
Online ISBN: 978-1-137-53569-6
eBook Packages: Business and ManagementBusiness and Management (R0)