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1800 · 82/8910 = 16.56 parts of type 1. Similarly type 2 and type 3 parts are
used at the long run rates of 150/8910 and 188/8910 per day, so over 1800 days
we will use an average of 30.30 parts of type 2 and 37.98 parts of type 3.
Example 1.24. Inventory chain (continuation of 1.6). We have an electronics store that sells a videogame system, with the ptential for sales of 0, 1,
2, or 3 of these units each day with probabilities .3, .4, .2, and .1. Each night at
the close of business new units can be ordered which will be available when the
store opens in the morning. Suppose that sales produce a proﬁt of $12 but it
costs $2 a day to keep unsold units in the store overnight. Since it is impossible
to sell 4 units in a day, and it costs us to have unsold inventory we should never
have more than 3 units on hand.
Suppose we use a 2,3 inventory policy. That is, we order if there are 2
units and we order enough stock so that we have 3 units at the beginning of the
next day. In this case we always start...
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- Spring '10
- The Land