3. A single product inventory system with the storage capacity of 2 units is replenished weekly using the following policy: if there are 0 units in stock, order up to the storage capacity; else, do not order. Weekly demands D are iid rv's with the following pmf. Any unmet demand is lost. Assume zero order replenishment time. For any week, the ordering cost is 4n, where n is the number of units ordered during the week. The weekly storage cost is 0.3m, where m is the number of units on hand at the beginning of the week (before any ordering takes place). 0 1 2 P(D = d) | 0.2 0.3 0.4 0.1 d 3

3. A single product inventory system with the storage capacity of 2 units is replenished weekly using the following policy: if there are 0 units in stock, order up to the storage capacity; else, do not order. Weekly demands D are iid rv's with the following pmf. Any unmet demand is lost. Assume zero order replenishment time. For any week, the ordering cost is 4n, where n is the number of units ordered during the week. The weekly storage cost is 0.3m, where m is the number of units on hand at the beginning of the week (before any ordering takes place). 0 1 2 P(D = d) | 0.2 0.3 0.4 0.1 d 3

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Find the long-run fraction of time that the system is out of stock (zero inventory).

3. A single product inventory system with the storage capacity of 2 units is replenished weekly using the following
policy: if there are 0 units in stock, order up to the storage capacity; else, do not order. Weekly demands D are iid
rv's with the following pmf. Any unmet demand is lost. Assume zero order replenishment time. For any week, the
ordering cost is 4n, where n is the number of units ordered during the week. The weekly storage cost is 0.3m, where
m is the number of units on hand at the beginning of the week (before any ordering takes place).
d
0 1
3
P(D = d) 0.2
0.3
0.4
0.1

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