On the Demand Distribution During the Waiting Period When Demand Follows Gamma Distribution and the Waiting Time Follows Logarithmic Distribution

Authors

• Salah H. Abid, Department of Statistics, College of Administration and Economics, Mustansiriyah University, Iraq

Abstract

In this research, we derive the lead-time demand distribution for an inventory control system where the demand follows a Gamma distribution and the lead time follows a Lognormal distribution; furthermore, we extract the primary moments for this variable, which are essential for determining key performance indicators of the aforementioned system, utilizing technical concepts such as contour integration, the complex plane, Hankel’s integral, reorder level, and safety stock

DOI

10.33095/jeas.v14i51.1408

Subject Area

Statistical

First Page

237

Last Page

245

Rights

http://creativecommons.org/licenses/by-nc-nd/4.0

Recommended Citation

Abid, S. H. (2008). On the Demand Distribution During the Waiting Period When Demand Follows Gamma Distribution and the Waiting Time Follows Logarithmic Distribution. Journal of Economics and Administrative Sciences, 14(51), 237-245. https://doi.org/10.33095/jeas.v14i51.1408