Your Express Package Courier Company Is Drawing Up New Zones

question 43

Essay

Your express package courier company is drawing up new zones for the location of drop boxes for customers. The city has been divided into the seven zones shown below. You have targeted six possible locations for drop boxes. The list of which drop boxes could be reached easily from each zone is listed below. $\begin{array}{lc}\text { Zone } & \text { Can Be Served By Locations: } \\\text { Downtown Financial } & 1,2,5,6 \\\text { Downtown Legal } & 2,4,5 \\\text { Retail South } & 1,2,4,6 \\\text { Retail East } & 3,4,5 \\\text { Manufacturing North } & 1,2,5 \\\text { Manufacturing East } & 3,4 \\\text { Corporate West } & 1,2,6\end{array}$ Let x_i = 1 if drop box location i is used, 0 otherwise. Develop a model to provide the smallest number of locations yet make sure that each zone is covered by at least two boxes.

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Definitions:

Interval Schedule

A schedule of reinforcement where a response is rewarded after a specified or varying amount of time has passed.

Ratio Schedule

In operant conditioning, a rule determining the timing and frequency of reinforcements, based on the number of responses made by the subject.

Secondary Reinforcers

Stimuli that have no inherent value but have been paired with primary reinforcers or are learned to be valuable, often used in behavior modification protocols.

Primary Reinforce

is a naturally reinforcing stimulus, such as food or water, that fulfills a basic biological need and does not require learning to become effective.