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1.224J: Recitation #1 Linear programming Modeling and solution in Excel

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LP basics Minimize (A linear function) Subject to (A collection of linear constraints, which are linear equalities and linear inequalities) *Important note: linear in decision variables, not necessarily other data

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Typical modeling steps Write down problem data [known information you have values for] Write down decision variables Choose what your objective is Write down problem mathematically, implement in Excel

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New England Fisheries Crisis Optimal allocation of fishing quotas to fishing fleets.

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New England Fisheries background Historically, fishing (cod in particular) has been an in important livelihood along the northeast coast. Since the 1980s cod levels have dropped dramatically. Today, the challenge is to find a balance between fishermens livelihoods and ecosystem sustainability.

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Quota system A successful approach in Iceland, might be tried here. Each fishing company is assigned, or auctioned, a quota for amount of fish they can catch in a certain time frame and a certain region. QUESTION: How to allocate quotas?

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Optimal quota allocation model

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LINEAR PROGRAMMING.

LINEAR PROGRAMMING.

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