This letter extends the existent MPL (Max-Plus Linear) state-space representation and proposes a new form that can account for both capacity and order constraints. It is often essential to consider these factors when applying the MPL approach to scheduling problems for production or transportation systems. The derived form is a type of augmented state-representation and can contribute to obtaining the earliest start and completion times for processes in installed facilities.
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Hiroyuki GOTO, Shiro MASUDA, "Consideration of Capacity and Order Constraints for Event-Varying MPL Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 9, pp. 2024-2028, September 2007, doi: 10.1093/ietfec/e90-a.9.2024.
Abstract: This letter extends the existent MPL (Max-Plus Linear) state-space representation and proposes a new form that can account for both capacity and order constraints. It is often essential to consider these factors when applying the MPL approach to scheduling problems for production or transportation systems. The derived form is a type of augmented state-representation and can contribute to obtaining the earliest start and completion times for processes in installed facilities.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.9.2024/_p
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@ARTICLE{e90-a_9_2024,
author={Hiroyuki GOTO, Shiro MASUDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Consideration of Capacity and Order Constraints for Event-Varying MPL Systems},
year={2007},
volume={E90-A},
number={9},
pages={2024-2028},
abstract={This letter extends the existent MPL (Max-Plus Linear) state-space representation and proposes a new form that can account for both capacity and order constraints. It is often essential to consider these factors when applying the MPL approach to scheduling problems for production or transportation systems. The derived form is a type of augmented state-representation and can contribute to obtaining the earliest start and completion times for processes in installed facilities.},
keywords={},
doi={10.1093/ietfec/e90-a.9.2024},
ISSN={1745-1337},
month={September},}
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TY - JOUR
TI - Consideration of Capacity and Order Constraints for Event-Varying MPL Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2024
EP - 2028
AU - Hiroyuki GOTO
AU - Shiro MASUDA
PY - 2007
DO - 10.1093/ietfec/e90-a.9.2024
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2007
AB - This letter extends the existent MPL (Max-Plus Linear) state-space representation and proposes a new form that can account for both capacity and order constraints. It is often essential to consider these factors when applying the MPL approach to scheduling problems for production or transportation systems. The derived form is a type of augmented state-representation and can contribute to obtaining the earliest start and completion times for processes in installed facilities.
ER -