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Variable and constant returns-to-scale production technologies with component processes
We consider nonparametric production technologies characterized by several component production processes, and allow both component-specific and shared inputs and outputs. Each process uses its specific inputs and an unknown part of the shared inputs, to produce its specific outputs and an unknown p...
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| Format: | Default Article |
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2021
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| Online Access: | https://hdl.handle.net/2134/13011254.v1 |
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| _version_ | 1822540178147770368 |
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| author | Victor Podinovski |
| author_facet | Victor Podinovski |
| author_sort | Victor Podinovski (1256964) |
| collection | Figshare |
| description | We consider nonparametric production technologies characterized by several component production processes, and allow both component-specific and shared inputs and outputs. Each process uses its specific inputs and an unknown part of the shared inputs, to produce its specific outputs and an unknown part of the shared outputs. For the described setting, we develop two new models of production technologies, under the assumptions of variable and constant returns to scale (VRS and CRS). These models are based on the worst-case assumption about the allocation of the shared inputs and outputs to component processes and, therefore, do not require exact knowledge of the actual allocation. The new models are larger than the standard VRS and CRS technologies. We provide a formal axiomatic derivation of the new technologies, explore their dual interpretation and demonstrate their usefulness in an application. |
| format | Default Article |
| id | rr-article-13011254 |
| institution | Loughborough University |
| publishDate | 2021 |
| record_format | Figshare |
| spelling | rr-article-130112542021-07-28T00:00:00Z Variable and constant returns-to-scale production technologies with component processes Victor Podinovski (1256964) Theory of computation not elsewhere classified data envelopment analysis efficiency convexity multiple-component technology Computation Theory and Mathematics We consider nonparametric production technologies characterized by several component production processes, and allow both component-specific and shared inputs and outputs. Each process uses its specific inputs and an unknown part of the shared inputs, to produce its specific outputs and an unknown part of the shared outputs. For the described setting, we develop two new models of production technologies, under the assumptions of variable and constant returns to scale (VRS and CRS). These models are based on the worst-case assumption about the allocation of the shared inputs and outputs to component processes and, therefore, do not require exact knowledge of the actual allocation. The new models are larger than the standard VRS and CRS technologies. We provide a formal axiomatic derivation of the new technologies, explore their dual interpretation and demonstrate their usefulness in an application. 2021-07-28T00:00:00Z Text Journal contribution 2134/13011254.v1 https://figshare.com/articles/journal_contribution/Variable_and_constant_returns-to-scale_production_technologies_with_component_processes/13011254 CC BY-NC-ND 4.0 |
| spellingShingle | Theory of computation not elsewhere classified data envelopment analysis efficiency convexity multiple-component technology Computation Theory and Mathematics Victor Podinovski Variable and constant returns-to-scale production technologies with component processes |
| title | Variable and constant returns-to-scale production technologies with component processes |
| title_full | Variable and constant returns-to-scale production technologies with component processes |
| title_fullStr | Variable and constant returns-to-scale production technologies with component processes |
| title_full_unstemmed | Variable and constant returns-to-scale production technologies with component processes |
| title_short | Variable and constant returns-to-scale production technologies with component processes |
| title_sort | variable and constant returns-to-scale production technologies with component processes |
| topic | Theory of computation not elsewhere classified data envelopment analysis efficiency convexity multiple-component technology Computation Theory and Mathematics |
| url | https://hdl.handle.net/2134/13011254.v1 |