Calculation of Reorder Point Level under Stochastic Parameters: A Case Study in Healthcare Area

We consider a single-echelon, single-item inventory system where both demand and lead-time are stochastic. Continuous review policy is used to control the inventory system. The objective is to calculate the reorder point level under stochastic parameters. A case study is presented in Neonatal Intensive Care Unit.




References:
[1] A. ┼×at─▒r and D. Cengiz, "Medicinal Inventory Control in a University
Health Centre," Journal of the Operational Research Society, 38(5),
1987, pp. 387-395. W.-K. Chen, Linear Networks and Systems (Book
style). Belmont, CA: Wadsworth, 1993, pp. 123-135.
[2] M. Çakanyildirim, J. H. Bookbinder and Y. Gerchak, "Continuous
review inventory models where random lead-time depends on lot size
and reserved capacity," International Journal of Production Economics,
68, 2000, pp. 217-228.
[3] M. K. Salameh, N.E. Abboud, A. N. El-Kassar and R. E. Ghattas,
"Continuous review inventory model with delay in payments," Int. J.
Production Economics, 85, 2003, pp. 91-95.
[4] M. Seifbarghy and M. R. A. Jokar, "Cost evaluation of a two-echelon
inventory system with lost sales and approximately Poisson demand,"
Int. J. Production Economics, 102, 2006, pp. 244-254.
[5] X. Chen and D. Simchi-Levi, "Coordinating inventory control and
pricing strategies: The continuous review model," Operations Research
Letters, 34, 2006, pp. 323 - 332.
[6] E. Mohebbi and D. Hao, "When supplier-s availability affects the
replenishment lead-time: An extension of the supply-interruption
problem," European Journal of Operational Research, 175, 2006, pp.
992-1008.
[7] S. Axsäter, "A simple procedure for determining order quantities under
a fill rate constraint and normally distributed lead-time demand,"
European Journal of Operational Research, 174, 2006, pp. 480-491.
[8] R. M. Hill, "Continuous-review, lost-sales inventory models with
Poisson demand, a fixed lead-time and no fixed order cost," European
Journal of Operational Research, 176, 2007, pp. 956-963.
[9] R. M. Hill, M. Seifbarghy and D. K. Smith, "A two-echelon inventory
model with lost sales," European Journal of Operational Research, 181,
2007, pp. 753-766.
[10] E. Kopytov, L. Greenglaz, A. Muravyov, E. Puzinkevich, "Modelling of
two strategies in inventory control system with random lead time and
demand," Computer Modelling and New Technologies, 11 (1), 2007,
pp. 21-30.
[11] M. A. Darwish, "Joint determination of order quantity and reorder point
of continuous review model under quantity and freight rate discounts,"
Computers & Operations Research, 35 (12), 2008, pp. 3902- 3917.
[12] M. Z. Babai, Z. Jemai and Y. Dallery, "Analysis of Order-Up-To-Level
Inventory Systems with Compound Poisson Demand," European Journal
of Operational Research, 210 (3), 2010, pp. 552- 558.
[13] A. Kokangul, A. Ozkan, S. Akcan, K. Ozcan and M. Narli, "Statistical
Analysis of Patients- Characteristics in Neonatal Intensive Care Units,"
Journal of Medical Systems, 34 (4), 2010, pp. 471-478.
[14] W. D. Kelton, R. P. Sadowski and D. A. Sadowski, Simulation with
Arena. McGraw-Hill, Inc., New York, USA, 2002.
[15] R. G. Sargent, "Verification and Validation of Simulation Models,"
Proceedings of the 1998 Winter Simulation Conference, pp. 121-130.