On the equitable resource allocation problems: A lexicographic minimax approach
A variety of resource allocation problems in which it is desirable to allocate limited resources equitably among competing activities are reviewed. Applications for such problems are found in diverse areas, including distribution planning, production planning and scheduling, and emergency services l...
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| Published in: | Operations research Vol. 47; no. 3; p. 361 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Linthicum
Institute for Operations Research and the Management Sciences
01.05.1999
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| Subjects: | |
| ISSN: | 0030-364X, 1526-5463 |
| Online Access: | Get full text |
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| Summary: | A variety of resource allocation problems in which it is desirable to allocate limited resources equitably among competing activities are reviewed. Applications for such problems are found in diverse areas, including distribution planning, production planning and scheduling, and emergency services location. Each activity is associated with a performance function, representing, for example, the weighted shortfall of the selected activity level from a specified target. A resource allocation solution is called equitable if no performance function value can be improved without either violating a constraint or degrading an already equal or worse-off performance function value that is associated with a different activity. A lexicographic minimax solution determines this equitable solution; that is, it determines the lexicographically smallest vector whose elements. the performance function values, are sorted in nonincreasing order. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14 |
| ISSN: | 0030-364X 1526-5463 |
| DOI: | 10.1287/opre.47.3.361 |