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3. Inventory Planning & <strong>Information</strong> Enrichment<br />

We should also note that the above model does not consider uncertainty of demand,<br />

which is the source of non-linearity in Kranenburg and Van Houtum (2009) and IBM’s<br />

patented model by Erke et al. (2003). We noted earlier, that Kranenburg and Van Houtum<br />

(2009) and Erke et al. (2003) handle demand uncertainty by developing approximations.<br />

As a result, in comparison to deterministic planning model, base stock levels<br />

estimated by the approximated model are inflated proportionally to the approximation<br />

parameters. In the presented simplified model, we assume deterministic setting as it reduces<br />

the computational complexity while retaining validity of presented results for the<br />

approximated version. We argue this due to following two reasons. First, we performed<br />

comparative experiments between the presented model and IBM’s patented tool and results<br />

were found to be similar. This is due to the approximation coefficients chosen by<br />

IBM for application of planning tool, that essentially reduce the approximated model to<br />

deterministic setting.<br />

Secondly, our objective in this chapter is not to present an inventory planning tool.<br />

Instead, our focus here is to analyze the benefits of using installed base information to<br />

support inventory planning versus no installed base information usage by observing reduced<br />

inventory planning costs due to installed base usage. As we shall notice in Section<br />

3.2.1, that by using installed base data, we do not change the overall network demand<br />

forecast. We should note the amount of stocks that are needed to be placed in the stock<br />

network is bounded from below by network demand forecast and depends on equilibrium<br />

between holding and transportation costs, and time based service levels. If transportation<br />

costs are of lower magnitude in comparison to holding cost then optimization attempts<br />

to push base stock levels (integer values) towards network demand forecasts while accounting<br />

for time based service level. Therefore, any inflation in base stock level, due to<br />

approximation parameter, impacts installed base usage scenarios and no installed usage<br />

scenarios in a consistent manner. The consistent impact of approximation parameter<br />

also holds if holding costs rates are lower then transportation costs rates. Therefore, the<br />

results presented in this chapter (see Section 3.7) are also valid for stochastic settings.<br />

IBM developed this planning tool to replace the existing hierarchal planning system<br />

(i.e. Cohen et al. (1990)). The existing system did not consider lateral transshipment and<br />

time based service levels, which are specifically considered in this approach. Currently,<br />

IBM is in the deployment phase of the developed tool. For the regions, where it has<br />

been already deployed, the deployment of this tool has resulted in considerable inventory<br />

68

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