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13<br />

Resource allocation<br />

and negotiation problems<br />

Introduction<br />

In this chapter we will consider how decision analysis models can be<br />

applied to two types of problem which usually involve groups of decision<br />

makers. First, we will study problems where a limited resource has to be<br />

allocated between a number of alternative uses. For example, a group of<br />

product managers may have to decide on how next year’s advertising<br />

budget should be divided between the products for which they are<br />

responsible. Similarly, a local police force might have to determine<br />

how its available personnel should be allocated between tasks such as<br />

crime prevention, traffic policing and the investigation of serious and<br />

petty crimes.<br />

As Phillips 1,2 argues, the central purpose of resource allocation models<br />

in decision analysis is to resolve what is known as the commons dilemma.<br />

On the one hand, an organization can decentralize its decision making,<br />

allowing each manager to make the best use of the resources which he<br />

or she is allocated. While this delegation of responsibility will probably<br />

motivate the managers, it is unlikely that the resulting set of independent<br />

decisions will lead to an allocation of resources which is best for the<br />

organization as a whole. The alternative is to centralize decision making,<br />

but this may be demotivating and the resulting allocation will not<br />

take into account the local knowledge of the individual managers. The<br />

dilemma can be resolved by the managers meeting as a group, possibly<br />

in a decision conference, and examining the effect of trading off resources<br />

between their areas of responsibility. Of course, some managers may<br />

find that they lose resources as a result of this process, but these<br />

losses should be more than compensated by the increased benefits<br />

of reallocating the resources elsewhere. As we shall see, the number<br />

of combinations of options that are available in this sort of decision<br />

problem can be very large, therefore a computer is normally required

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