A model for optimal infrastructure investment in boom towns
A linear model to determine the optimal policy for investment in social infrastructure is formulated and its solution is obtained using the Maximum Principle. The unique solution is characterized by a-bang-bang control, with only one interval of investment in social capital, and the endpoints of thi...
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2010
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| Online Access: | http://hdl.handle.net/2429/22238 |
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ndltd-UBC-oai-circle.library.ubc.ca-2429-222382018-01-05T17:41:33Z A model for optimal infrastructure investment in boom towns Poklitar, Joanne Carol Urban economics - Mathematical models A linear model to determine the optimal policy for investment in social infrastructure is formulated and its solution is obtained using the Maximum Principle. The unique solution is characterized by a-bang-bang control, with only one interval of investment in social capital, and the endpoints of this interval can be numerically determined, given values for the parameters of the model. A generalization of the model which allows instantaneous jumps in the level of social capital is also analyzed, and the solution to the modified problem is shown to be a uniquely determined impulse control. The final extension of the model allows us to determine an upper bound for the optimal time horizon. Science, Faculty of Mathematics, Department of Graduate 2010-03-22T18:00:36Z 2010-03-22T18:00:36Z 1980 Text Thesis/Dissertation http://hdl.handle.net/2429/22238 eng For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Urban economics - Mathematical models |
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Urban economics - Mathematical models Poklitar, Joanne Carol A model for optimal infrastructure investment in boom towns |
| description |
A linear model to determine the optimal policy for investment in social infrastructure is formulated and its solution is obtained using the Maximum Principle. The unique solution is characterized by a-bang-bang control, with only one interval of investment in social capital, and the endpoints of this interval can be numerically determined, given values for the parameters of the model. A generalization of the model which allows instantaneous jumps in the level of social capital is also analyzed, and the solution to the modified problem is shown to be a uniquely determined impulse control. The final extension of the model allows us to determine an upper bound for the optimal time horizon. === Science, Faculty of === Mathematics, Department of === Graduate |
| author |
Poklitar, Joanne Carol |
| author_facet |
Poklitar, Joanne Carol |
| author_sort |
Poklitar, Joanne Carol |
| title |
A model for optimal infrastructure investment in boom towns |
| title_short |
A model for optimal infrastructure investment in boom towns |
| title_full |
A model for optimal infrastructure investment in boom towns |
| title_fullStr |
A model for optimal infrastructure investment in boom towns |
| title_full_unstemmed |
A model for optimal infrastructure investment in boom towns |
| title_sort |
model for optimal infrastructure investment in boom towns |
| publishDate |
2010 |
| url |
http://hdl.handle.net/2429/22238 |
| work_keys_str_mv |
AT poklitarjoannecarol amodelforoptimalinfrastructureinvestmentinboomtowns AT poklitarjoannecarol modelforoptimalinfrastructureinvestmentinboomtowns |
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1718591962249953280 |