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Irrigation scheduling I: Integer programming approach

Irrigation scheduling I: Integer programming approach
Irrigation scheduling I: Integer programming approach
This paper shows how a sequential irrigation schedule for a tertiary unit can be interpreted as a single machine scheduling problem with earliness, tardiness,and a common deadline. An integer program solution is presented for this irrigation scheduling problem. Two different models are presented to reflect different management options at the tertiary level. The first model allows jobs to be scheduled noncontiguously.
In the second model only contiguous jobs are allowed. The second model has three submodels reflecting the various ways in which contiguous jobs can be scheduled over a fixed interval. Earlier work in determining unit costs of earliness/tardiness is reviewed and an alternative improved method is suggested. The models presented in this paper are applied to a tertiary unit With 16 users, both. as a single interval and multi-interval irrigation. scheduling problem. An alternative integer program is also presented which although computationally more efficient can only be used for single period scheduling problems. The models developed in this paper can be used to solve small scheduling problems and also to calibrate the heuristics as presented in the companion paper.
0733-9437
9-16
De Vries, Tonny T.
bade5b3c-2f5b-426a-9bc7-1c060b5a2509
Anwar, Arif A.
e9a57bb7-5225-45e6-9a69-2396a6e4fd31
De Vries, Tonny T.
bade5b3c-2f5b-426a-9bc7-1c060b5a2509
Anwar, Arif A.
e9a57bb7-5225-45e6-9a69-2396a6e4fd31

De Vries, Tonny T. and Anwar, Arif A. (2004) Irrigation scheduling I: Integer programming approach. Journal of Irrigation and Drainage Engineering, ASCE, 130 (1), 9-16. (doi:10.1061/(ASCE)0733-9437(2004)130:1(9)).

Record type: Article

Abstract

This paper shows how a sequential irrigation schedule for a tertiary unit can be interpreted as a single machine scheduling problem with earliness, tardiness,and a common deadline. An integer program solution is presented for this irrigation scheduling problem. Two different models are presented to reflect different management options at the tertiary level. The first model allows jobs to be scheduled noncontiguously.
In the second model only contiguous jobs are allowed. The second model has three submodels reflecting the various ways in which contiguous jobs can be scheduled over a fixed interval. Earlier work in determining unit costs of earliness/tardiness is reviewed and an alternative improved method is suggested. The models presented in this paper are applied to a tertiary unit With 16 users, both. as a single interval and multi-interval irrigation. scheduling problem. An alternative integer program is also presented which although computationally more efficient can only be used for single period scheduling problems. The models developed in this paper can be used to solve small scheduling problems and also to calibrate the heuristics as presented in the companion paper.

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Published date: 2004

Identifiers

Local EPrints ID: 39379
URI: http://eprints.soton.ac.uk/id/eprint/39379
ISSN: 0733-9437
PURE UUID: b539581b-89a0-4769-b06c-b6de01e383ae
ORCID for Arif A. Anwar: ORCID iD orcid.org/0000-0002-3071-3197

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Date deposited: 28 Jun 2006
Last modified: 18 Feb 2021 16:48

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Contributors

Author: Tonny T. De Vries
Author: Arif A. Anwar ORCID iD

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