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Impaired flow multi-index transportation problem with axial constraints

Published online by Cambridge University Press:  17 February 2009

Lakshmisree Bandopadhyaya  and
M. C. Puri
Lakshmisree Bandopadhyaya
Affiliation:
Deshbandu College, University of Delhi, G-1356, C. R. Park, New Delhi 110019, India.
M. C. Puri
Affiliation:
I. I. T., Delhi, India.
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Abstract

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This paper studies the impairing of flows in multi-index transportation problem with axial constraints. For any curtailed flow, the problem is shown to be equivalent to a standard axial sum problem, whose solution can be obtained by known methods. The equivalence is established only for specially defined solutions (referred to as M-feasible solutions) of the standard problem. It is also proved that an optimal solution of the impaired flow problem corresponds to such an M-feasible solution.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 3 , January 1988 , pp. 296 - 309
Copyright
Copyright © Australian Mathematical Society 1988

References

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