Template-Type: ReDIF-Paper 1.0
Author-Name: Dekker, R.
Author-Name-Last: Dekker
Author-Name-First: Rommert
Author-Person: pde16
Author-Name: Frenk, J.B.G.
Author-Name-Last: Frenk
Author-Name-First: Hans
Author-Name: Kleijn, M.J.
Author-Name-Last: Kleijn
Author-Name-First: Marcel
Author-Name: de Kok, A.G.
Author-Name-Last: de Kok
Title: On the newsboy model with a cutoff transaction size
Abstract: In this paper we analyse the effect of satisfying in a different way customers  with an order larger than a prespecified cutoff transaction size, in a simple newsboy setting. For compound Poisson demand with discrete order sizes, we show how to determine the expected costs and the optimal cutoff transaction size. Moreover, by approximating the distribution of the total demand during a period by the normal distribution one can determine an expression for the average cost function that depends on the cutoff transaction size only. A main advantage of this approximation is that the computational effort is much less. The quality of using the normal approximation is evaluated through a number of numerical experiments, which show that the approximative results are satisfactory.
Creation-Date: 1997-01-01
File-URL: https://repub.eur.nl/pub/1405/feweco19971007143726.pdf
File-Format: application/pdf
Series: RePEc:ems:eureir
Number: EI 9736/A
Keywords: cutoff transaction size, inventory, newsboy model
Handle: RePEc:ems:eureir:1405