Robert Gardner Runs a Small, Local-Only Delivery Service

question 55

Essay

Robert Gardner runs a small, local-only delivery service. His fleet consists of three smaller panel trucks. He recently accepted a contract to deliver 12 shipping boxes of goods for delivery to 12 different customers. The box weights are: 210, 160, 320, 90, 110, 70, 410, 260, 170, 240, 80 and 180 for boxes 1 through 12, respectively. Since each truck differs each truck has different load capacities as given below:
Robert would like each truck equally loaded, both in terms of number of boxes and in terms of total weight, while minimizing his shipping costs. Assume a cost of $50 per item for trucks carrying extra boxes and $0.10 per pound cost for trucks carrying less weight.
Formulate the integer goal programming problem for Robert. (Hint: objective function involves decision and deviation variables.)

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Definitions:

Scaffolding

An educational technique that involves providing structure, support, or guidance to learners to help them achieve a higher level of understanding or skill.

Temporary Support

Short-term assistance offered to individuals or systems during periods of change or stress, aiming at stabilization.

Task

An activity or assignment that needs to be completed, often as part of a larger project or goal.

Ecological Approach

A perspective or method in various disciplines that emphasizes the importance of understanding organisms, including humans, in relation to their environment.