In Lecture

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$$the following model was presented to formulate a nurse budgeting problem with different features

including different units, different time periods, and different types of contracts for hiring part

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time nurses:

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Decision variables

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$$The number of permanent nurses of type

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$$to hire for the

planning horizon.

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$$The number of part

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time nurses of type

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$$to hire from the

agency in period

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$$The amount of overtime for all nurses of type

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$$in period

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$$The number of permanent nurses of type

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unit

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t

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$$The number of part

$-$

time nurses of type

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unit

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i

t

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$=$

$$The amount of overtime for all nurses of type

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$$that work

in unit

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$$The number of part

$-$

time nurses of type

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agency in period

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$$through contract type