Solution of the Retiring Search Problem
The well-known variational principle of the optimal distribution of search effort is applied to the case where the sought-for target has been located momentarily but the search cannot begin until a time T o later, during which interval the target may or may not move. The optimal search path, called...
| Main Author: | |
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| Format: | Working Paper |
| Language: | en_US |
| Published: |
Massachusetts Institute of Technology, Operations Research Center
2004
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| Online Access: | http://hdl.handle.net/1721.1/5150 |
| _version_ | 1826216962373451776 |
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| author | Morse, Philip M., 1903- |
| author_facet | Morse, Philip M., 1903- |
| author_sort | Morse, Philip M., 1903- |
| collection | MIT |
| description | The well-known variational principle of the optimal distribution of search effort is applied to the case where the sought-for target has been located momentarily but the search cannot begin until a time T o later, during which interval the target may or may not move. The optimal search path, called the retiring search curve,, is a spiral starting at the point of original location, with the relationship between r and or L, the length of path, given by a differential equation derived from the variational principle. This equation is solved for a range of values of the parameters of greatest practical interest. The results are tabulated and also displayed in graphical form for use in practice. General conclusions emerge, of considerable practical value in searches of this kind. |
| first_indexed | 2024-09-23T16:55:56Z |
| format | Working Paper |
| id | mit-1721.1/5150 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:55:56Z |
| publishDate | 2004 |
| publisher | Massachusetts Institute of Technology, Operations Research Center |
| record_format | dspace |
| spelling | mit-1721.1/51502019-04-12T13:40:35Z Solution of the Retiring Search Problem Morse, Philip M., 1903- The well-known variational principle of the optimal distribution of search effort is applied to the case where the sought-for target has been located momentarily but the search cannot begin until a time T o later, during which interval the target may or may not move. The optimal search path, called the retiring search curve,, is a spiral starting at the point of original location, with the relationship between r and or L, the length of path, given by a differential equation derived from the variational principle. This equation is solved for a range of values of the parameters of greatest practical interest. The results are tabulated and also displayed in graphical form for use in practice. General conclusions emerge, of considerable practical value in searches of this kind. 2004-05-28T19:25:24Z 2004-05-28T19:25:24Z 1977-12 Working Paper http://hdl.handle.net/1721.1/5150 en_US Operations Research Center Working Paper;OR 070-77 1746 bytes 2688231 bytes application/pdf application/pdf Massachusetts Institute of Technology, Operations Research Center |
| spellingShingle | Morse, Philip M., 1903- Solution of the Retiring Search Problem |
| title | Solution of the Retiring Search Problem |
| title_full | Solution of the Retiring Search Problem |
| title_fullStr | Solution of the Retiring Search Problem |
| title_full_unstemmed | Solution of the Retiring Search Problem |
| title_short | Solution of the Retiring Search Problem |
| title_sort | solution of the retiring search problem |
| url | http://hdl.handle.net/1721.1/5150 |
| work_keys_str_mv | AT morsephilipm1903 solutionoftheretiringsearchproblem |