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Equipment Replacement | ||
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The Simplest Model | ||
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* In `N` time periods, we originally have a machine with age `y`. `c(i)` is the cost of operating a machine with age `i`; `p` is price of a new machine; `t(i)` is trade-in value for machine with age `i`; `s(i)` is the salvage value of machine with age `i` at the end of `N` time periods. | ||
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* The problem is to minimize the total cost during the next `N` time periods. | ||
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Dynamic-Programming Formulation | ||
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* The optimal value function is trivial and left as exercises. | ||
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Shortest-Path Representation of the Problem | ||
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* Use _age of machine_ as y-axis and _time_ as x-axis, we can represent the problem as a shortest-path problem. | ||
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Regeneration Polnt Approach | ||
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* **TODO** | ||
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More Complex Equipment-Replacement Models | ||
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* Added the third choice between "keep" and "replace": "overhaul". | ||
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* And other variants in exercises. |