EP2529341A2 - Installation et procédé d'optimisation du mode de fonctionnement d'un réseau de distribution - Google Patents
Installation et procédé d'optimisation du mode de fonctionnement d'un réseau de distributionInfo
- Publication number
- EP2529341A2 EP2529341A2 EP11716169A EP11716169A EP2529341A2 EP 2529341 A2 EP2529341 A2 EP 2529341A2 EP 11716169 A EP11716169 A EP 11716169A EP 11716169 A EP11716169 A EP 11716169A EP 2529341 A2 EP2529341 A2 EP 2529341A2
- Authority
- EP
- European Patent Office
- Prior art keywords
- network
- optimization
- water
- model
- simulation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Ceased
Links
- 238000000034 method Methods 0.000 title claims abstract description 31
- 238000005457 optimization Methods 0.000 claims abstract description 103
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims abstract description 99
- 238000004088 simulation Methods 0.000 claims abstract description 81
- 238000005259 measurement Methods 0.000 claims description 11
- 238000012545 processing Methods 0.000 claims description 10
- 230000000737 periodic effect Effects 0.000 claims description 3
- 230000006870 function Effects 0.000 description 16
- 230000005611 electricity Effects 0.000 description 6
- 238000004364 calculation method Methods 0.000 description 5
- 238000011161 development Methods 0.000 description 5
- 230000018109 developmental process Effects 0.000 description 5
- 230000006399 behavior Effects 0.000 description 4
- 238000004422 calculation algorithm Methods 0.000 description 4
- 230000036962 time dependent Effects 0.000 description 4
- 238000004590 computer program Methods 0.000 description 3
- 238000012423 maintenance Methods 0.000 description 3
- CURLTUGMZLYLDI-UHFFFAOYSA-N Carbon dioxide Chemical compound O=C=O CURLTUGMZLYLDI-UHFFFAOYSA-N 0.000 description 2
- 238000013500 data storage Methods 0.000 description 2
- 238000009434 installation Methods 0.000 description 2
- 238000007726 management method Methods 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 239000002994 raw material Substances 0.000 description 2
- 230000009467 reduction Effects 0.000 description 2
- 238000009420 retrofitting Methods 0.000 description 2
- 238000012546 transfer Methods 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 230000008901 benefit Effects 0.000 description 1
- 230000015572 biosynthetic process Effects 0.000 description 1
- 229910002092 carbon dioxide Inorganic materials 0.000 description 1
- 239000001569 carbon dioxide Substances 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000004891 communication Methods 0.000 description 1
- 238000012790 confirmation Methods 0.000 description 1
- 239000007789 gas Substances 0.000 description 1
- 238000010438 heat treatment Methods 0.000 description 1
- 230000003993 interaction Effects 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 230000007257 malfunction Effects 0.000 description 1
- 230000000630 rising effect Effects 0.000 description 1
- 230000001502 supplementing effect Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/04—Forecasting or optimisation specially adapted for administrative or management purposes, e.g. linear programming or "cutting stock problem"
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q50/00—Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
- G06Q50/06—Energy or water supply
Definitions
- the invention relates to an arrangement for optimizing the operation of a supply network, in particular a water network comprising a control system for controlling elements of a respective supply network, in particular a water network, and a processing unit with simulation environment for creating a simulation model of the respective network.
- the invention also relates to a method for optimizing the operation of a supply network, in particular a water network, in which a previously mentioned arrangement is used.
- CONFIRMATION COPY Simulation models including the calculation of pressures, flows, flow velocities, tank levels, parameters of the
- Hydraulic simulations are also used for the planning of certain scenarios. In particular, they become more short-lived for simulations
- Simulation models are calibrated by feeding in particular measured values from field measurements at continuous intervals and making adjustments to model parameters. This is intended to represent the characteristic behavior of the real network. Furthermore, changes in the network configuration and topology of the water network must be made regularly
- Simulation model are entered.
- the aim of the calibration is to adapt the theoretical model to the real network.
- the determination is based on an objective function, the spatial structure of the respective network, mathematical systems of equations, physical and operational
- Scheduling or scheduling update is required, usually no way past an installation or installation of a new system, which in addition to possibilities of simulation and the implementation of
- a disadvantage here is that investments already made can not be maintained and an additional level of effort and resources is required to set up a new, enhanced modeling system. Furthermore, new experience in dealing with the new network modeling system has to be gathered, which usually results in a loss of efficiency.
- the invention is therefore based on the object to provide an arrangement and a method with which the technical operation of a particular
- Water network can be easily and efficiently optimized with comparatively little effort.
- Water supply network thus comprises a control system for driving elements of a supply network or network, in particular
- Water network or water supply network and several
- Water network or supply network and an optimization unit with optimization environment (7) which receives data exported from the simulation environment (4) as well as additional data and based on the exported data and
- said arrangement is characterized by a plurality of processing units having a simulation environment and a
- optimization environment which optimization environment receives data and / or information and ancillary data exported by the simulation environment based on the exported data and / or information and
- Network simulations and optimizations play a key role.
- the use of these methods provides a better insight into the current status of the respective network, in particular a water network. This is because additional information is generated, with accessibility already being available
- Simulation models which are the level of nodes - for example, branch, distribution and withdrawal points - a supply network, in particular
- Network modeling systems namely one with and one without the functionality of optimization.
- the second network modeling system needs no simulation and can therefore be trimmed down.
- the effort can be reduced and, in particular, costs can be saved by supplementing or retrofitting known or existing arrangements with an optimization environment.
- the optimization environment determines schedules and setpoints for the actuators or elements in the respective network, in particular the respective water network. These schedules and setpoints are in the
- optimization environment optimized taking into account a variety of data and information as well as boundary conditions based on an objective function and existing boundary conditions.
- a supply network and in particular a water network or a
- the data exported from the simulation environment describe the spatial structure of the respective network, in particular of the water network, as well as its functional elements.
- the respective water network can be reliably displayed.
- Boundary conditions such as prices for energy and / or water and / or gas and / or availability, or other data and information.
- the optimization of the driving or operating mode can be updated by the current entry of additional data.
- the arrangement has at least one data memory. Especially for collecting historical data.
- the control system can read out measured or determined or detected values from the respective data memory in a time-dependent manner and / or write them into the data memory. It is conceivable that the additional data are read from the data memory.
- the arrangement has a prediction unit
- the arrangement ' advantageously a
- the operator can therefore always access the driving or deployment plans, specifications and / or setpoints for the controllable elements of the respective network, in particular the water network.
- the arrangement described here for optimizing the driving or operating mode of networks or supply networks, in particular of water networks allows the respective network to operate in a manner in which containers or reservoirs are filled in and / or as required, that is to say in particular if the available supply is the greatest, that is to say the least or the costs to be paid or the expenditure to be paid are the least, in particular if electricity and treated water are the cheapest and / or in large quantities are available ,,, and / or at which the
- Pressure levels in the lines to be adapted to the current and future expected demand are realized concretely by determining, in particular calculating, time-variable setpoint series, namely driving or deployment plans, for all controllable elements in the network, in particular in the water network. These include, for example, nodes of the respective network, in particular the water network, which are not controllable.
- controllable elements include in particular selected
- Operational boundary conditions include, for example, energy resources, in particular with regard to energy costs, which are provided in real time and / or future expected consumption values, in particular with regard to expected costs, thus as realistic as possible or optimal
- a calibrated simulation model is required and / or provided in order to obtain both the spatial structure of the supply network and in particular of the respective water network as well as simulated values.
- Processing unit a microprocessor, microcomputer PLC, ASIC, personal computer or the like.
- the various processing units can be integrated into the control system and / or implemented.
- the object mentioned at the outset is also achieved by a method for optimizing the operation of a supply network, in particular a water network, in which an arrangement of the type described hereinbefore is used, data and / or information and additional data exported by the optimization environment being received by the simulation environment and based on the exported data and additional data optimized driving or deployment plans for the control of controllable elements of the respective network, in particular the respective water network, are determined.
- the exported data describe the spatial structure of the respective network, in particular of the water network, as well as its elements.
- the respective water network of a field can be reliably mapped.
- the additional data is the objective function of
- Boundary conditions such as prices for energy and / or water and / or gas and / or availability, or other data and information.
- the optimization of the driving or operating mode can be updated by the current entry of additional data.
- historical data is recorded and / or stored on at least one data store provided and set up for this purpose.
- measured and / or determined and / or detected values can be read from the respective data memory in a time-dependent manner and / or written to the data memory. It is conceivable that also the additional data are read from the data memory.
- a prediction of the consumption of, in particular, water or gas or oil is carried out. This can do that
- driving or deployment plans can be visualized or visualized, for example, on a display device and / or a user interface, so that the operator is in the position at all times on the driving or deployment plans, specifications and / or desired values for the controllable
- the method described here for optimizing the driving or operating mode of networks or supply networks, in particular of water networks allows the respective network to be operated in a manner in which containers or reservoirs are filled up in terms of resources and / or requirements, ie in particular if the available supply is the greatest, that is, the least or the least cost to be paid or the outlay to be made, in particular if electricity and treated water are the cheapest and / or in are available in large quantities, and / or in which the
- Pressure levels in the lines to be adapted to the current and future expected demand are realized concretely by determining, in particular calculating, time-variable setpoint series, namely driving or deployment plans, for all controllable elements in the network, in particular in the water network. These include, for example, nodes of the respective network, in particular the water network, which are not controllable.
- controllable elements include in particular selected
- Operational boundary conditions include, for example, energy resources, in particular with regard to energy costs, which are provided in real time and / or future expected consumption values, in particular with regard to expected costs, thus as realistic as possible or optimal
- Consumption data and thus prices or costs for electricity and / or raw water or treated water can be taken into account in the optimization, a time perspective of several hours, especially 24 hours, set up.
- a calibrated simulation model is used to obtain both the spatial structure of the supply network and in particular of the respective water network as well as simulated values.
- hydraulic network simulation model which represents the physical supply network, in particular the water network in particular by means of rivers, pressures, tank and / or reservoir levels, demands and losses.
- an optimization model is derived using advanced model reduction and system identification techniques.
- Target function defined, which describes the elements to be optimized.
- the main advantage of the invention described here lies in their flexibility.
- the functionality of the optimization can be offered to all customers who have a network modeling system that has no optimization function. This is an essential distinguishing criterion for control systems and / or automation systems and has great potential with regard to retrofitting.
- Fig. 1 is a schematic view of an arrangement for optimizing the driving ⁇ or operation of water networks, the exchange of Data and information between individual devices of the arrangement is shown by arrows, and
- Fig. 2 is a schematic view of the structure of the functionality of
- Water network according to Fig. 1 allows the calculation of the optimal driving or deployment plans of the active elements of the water network.
- the elements include in particular pumps, control valves and reservoir tank.
- the arrangement for optimizing the operation of a supply network or network essentially comprises a control system 1 for controlling elements of a supply network and / or water network and a plurality of processing units, wherein at least one simulation unit 10 with
- Simulation environment 4 exported data and additional data receives and based on the exported data and additional data optimized flow charts for the control of the elements of the respective network or network, in particular the respective water network or supply network, determines, provided and used.
- FIG. 1 The arrangement of FIG. 1 allows the formation of an independent
- Control system 1 implemented.
- Results of the optimization in particular time series of desired values or timetables, are used directly for controlling the controllable elements which are connected to the control system 1 or are in communication connection.
- results are visualized within the control system environment 1 for the information of the operator and / or in a data memory for historical data 2, in the Also referred to as historical data storage, or stored in an information management system.
- the dashed line surrounds an already installed arrangement.
- This arrangement comprises the guidance system 1, the historical data memory 2, a forecasting unit 3 for predicting the consumption of water and a
- the control system 1 transmits control commands and schedules in the schematically illustrated field 6, in which the water network is located with its controllable elements. From field 6 to the control system 1, measured values are transmitted which indicate the status of the water network.
- the control system 1 reads values measured from the data memory for historical data 2 in a time-dependent manner and writes measured values into the historical data memory 2 in a time-dependent manner.
- the control system 1 receives predicted values of the consumption of water from the prediction unit 3 and supplies measured consumption values to the
- the control system 1 receives simulated results from the simulation unit 10 or the simulation environment 4 and delivers values measured in real time to the simulation unit or the simulation environment 4.
- the simulation environment 4 itself can not perform an optimization function.
- An optimization unit and optimization environment 7, to which the already installed arrangement is supplemented, supplies optimized guidance or operational plans to the control system 1 and receives values simulated by the control system 1, measured values, status of the water network and cost structures for a current and / or future water and / or electricity consumption.
- the optimization environment 7 receives from the simulation environment 4 - or the relevant units - exported data, namely characteristic features of the elements of the water network.
- Optimization environment 7 also receives a simulation model 5 or a spatial structure from the simulation environment 4.
- the optimization environment 7 receives as additional data a target function, operational and / or physical
- Boundary conditions and maintenance information include, for example, prices and / or cost structures for energy and / or water.
- a simulation environment 4 is at least partially integrated into the control system 1, if this is not yet available.
- the simulation unit 10 or simulation environment 4 is configured such that it measures values measured in real time from the control system 1 or from a
- the simulation unit 10 Read data storage with historical data 2.
- the simulation unit 10 is
- Simulation environment 4 is further configured in such a way that simulated results can be written into the "historical" data memory 2. This realizes an “online simulation environment”, online in this context meaning that the simulation is based on real-time data.
- the spatial structure (topology) of the hydraulic simulation model 5 as well as the real parameters of all elements (pumps, lines, etc.) of the network simulation system are exported to the optimization environment 7. It is assumed here that the spatial structure of the hydraulic simulation model 5 correctly contains all the elements of the field 6 of the water network or plant as well as their real parameters. It is further believed that the results of the hydraulic simulation model 5 correctly represent the real water network by means of flows, pressures, and reservoir or reservoir levels. Furthermore, the specific properties of different types of pumps and valves as well as electrical and mechanical performance potentials are stored or read from external sources.
- This step can be either manual or in
- Boundary conditions are set. In the control system existing field measurements and / or simulated values of non-measured nodes of the respective water network, expenses for electricity, expenses for treated water
- Status information and other information needed for optimization is obtained through a connection to the control system 1 or to the historical data memory 2.
- the aforementioned data may be configured individually or in combination as additional data.
- the prediction water consumption prediction unit 3 calculates the future demands based on the information available in the historical data memory 2.
- Simulation model is set up, and represents the behavior of the water network in the best possible way, an algorithm and solver or solver 9 is used, which solves the objective function of the optimization.
- the objective function of the optimization was in addition to the operational
- the resulting from the optimization driving or deployment plans are in the one data memory, in particular the historical data memory 2 and in the
- Transfer control system 1 The new Setpoints are (i) sent directly to the controllable elements in field 6 and / or (ii) visualized on a user interface using as
- the optimization and driving or application planning takes into account variable real-time status information.
- this optimization function can not be performed by the network simulation system already in use. Consequently, a change in the network modeling system does not affect the optimization as long as the export of the model and the connection to the control system 1 or the data memory 2 is possible.
- Network modeling system be avoided. Once the optimization function is fully integrated with the control system 1, results are immediately accessible in the operating environment. It is possible to access all facilities of the control system 1, such as the presentation of time histories, reporting or reporting or information management.
- the control system-based implementation may advantageously provide a timing chain.
- This control chain may have an operator interaction whereby accepted optimized schedules for pumps, control valves, tanks and reservoirs may be accepted.
- the control system-based implementation may advantageously provide a closed-loop control.
- This closed control loop can realize an immediate transfer of newly determined setpoint values into the field 6 by the control system 1 and / or the at least one processing unit.
- a network modeling system has a simulation environment 4 with a simulation device 10.
- the simulation environment 4 is a simulation environment 4 with a simulation device 10.
- the simulation environment 4 is a simulation environment 4 with a simulation device 10.
- Simulation model 5 generated.
- the network modeling system exports
- Network model as an exported file in a standard format, preferably in XML format, to the optimization environment 7.
- a simplistic optimization model is generated by an algorithm executable by means of program code means from the simulation model with the inclusion of necessary additional input parameters and the respective one with a solver or solver Optimization model 8 solved.
- Optimization model is automated or semi-automated.
- Simplified model in this context means that the number of existing model nodes and model equations is reduced, so that the optimization problem generated by the optimization model can still be solved sufficiently quickly.
- a computer program product for execution on a correspondingly equipped data processing device which has the features of the method according to the invention leads to a particular embodiment of the inventive device.
- a computer program product in particular a computer program stored on a data carrier, which has the features of the method according to the invention, is therefore expressly included in the disclosure content of the present application.
- the present invention also includes any combinations of preferred embodiments and features or refinements, unless they are mutually exclusive.
- Prediction unit for predicting the demand simulation environment
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- Business, Economics & Management (AREA)
- Engineering & Computer Science (AREA)
- Economics (AREA)
- Human Resources & Organizations (AREA)
- Strategic Management (AREA)
- Physics & Mathematics (AREA)
- General Business, Economics & Management (AREA)
- Health & Medical Sciences (AREA)
- Marketing (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Tourism & Hospitality (AREA)
- Quality & Reliability (AREA)
- Development Economics (AREA)
- Game Theory and Decision Science (AREA)
- Operations Research (AREA)
- Entrepreneurship & Innovation (AREA)
- Public Health (AREA)
- Water Supply & Treatment (AREA)
- General Health & Medical Sciences (AREA)
- Primary Health Care (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
- Feedback Control In General (AREA)
- Flow Control (AREA)
Abstract
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE102010005955.2A DE102010005955B4 (de) | 2010-01-27 | 2010-01-27 | Anordnung und Verfahren zur Optimierung der Arbeitsweise eines Versorgungsnetzes |
PCT/EP2011/000361 WO2011092012A2 (fr) | 2010-01-27 | 2011-01-27 | Installation et procédé d'optimisation du mode de fonctionnement d'un réseau de distribution |
Publications (1)
Publication Number | Publication Date |
---|---|
EP2529341A2 true EP2529341A2 (fr) | 2012-12-05 |
Family
ID=44194972
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP11716169A Ceased EP2529341A2 (fr) | 2010-01-27 | 2011-01-27 | Installation et procédé d'optimisation du mode de fonctionnement d'un réseau de distribution |
Country Status (10)
Country | Link |
---|---|
US (1) | US8725480B2 (fr) |
EP (1) | EP2529341A2 (fr) |
CN (1) | CN102713946B (fr) |
AU (1) | AU2011209158B2 (fr) |
BR (1) | BR112012018802A2 (fr) |
CA (1) | CA2788026A1 (fr) |
DE (1) | DE102010005955B4 (fr) |
MX (1) | MX2012008585A (fr) |
WO (1) | WO2011092012A2 (fr) |
ZA (1) | ZA201205648B (fr) |
Families Citing this family (13)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP5908213B2 (ja) * | 2011-02-28 | 2016-04-26 | ブラザー工業株式会社 | 通信装置 |
WO2013026731A1 (fr) | 2011-08-22 | 2013-02-28 | Abb Technology Ag | Système et procédé pour optimiser le fonctionnement d'un réseau d'eau |
US20150185749A1 (en) * | 2012-06-21 | 2015-07-02 | Siemens Aktiengesellschaft | Method for operating a supply network and supply network |
US9147018B2 (en) * | 2013-01-10 | 2015-09-29 | General Electric Company | Method and system for use in controlling a pressure vessel |
US20150187025A1 (en) * | 2014-01-01 | 2015-07-02 | International Business Machines Corporation | Optimization platform for water distribution networks |
GB201402695D0 (en) * | 2014-02-16 | 2014-04-02 | Arscott David S | System for optimising performance in a water network |
US10120962B2 (en) | 2014-09-02 | 2018-11-06 | International Business Machines Corporation | Posterior estimation of variables in water distribution networks |
WO2016064721A1 (fr) * | 2014-10-23 | 2016-04-28 | 3M Innovative Properties Company | Systèmes et procédés pour identifier et adhérer à des contraintes fonctionnelles normatives dans des réseaux électriques |
EP3056955B1 (fr) * | 2015-02-11 | 2019-04-24 | Siemens Aktiengesellschaft | Procédé de planification et d'ingénierie, outil et système de logiciel pour une installation technique de processus |
DE102018201550A1 (de) * | 2018-02-01 | 2019-08-01 | Siemens Aktiengesellschaft | Verfahren und Vorrichtung zum Bestimmen einer Notwendigkeit eines Eingriffs auf ein Versorgungsnetz |
US10915680B2 (en) * | 2018-12-21 | 2021-02-09 | Dassault Systemes Simulia Corp. | Local control of design patterns on surfaces for enhanced physical properties |
CN113126576B (zh) * | 2019-12-31 | 2022-07-29 | 北京国双科技有限公司 | 集输系统能耗优化模型构建方法与集输系统能耗控制方法 |
CN115542776B (zh) * | 2022-10-12 | 2024-04-16 | 沈阳飞机工业(集团)有限公司 | 无人机飞管系统仿真模型校准方法 |
Family Cites Families (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5873251A (en) * | 1995-09-13 | 1999-02-23 | Kabushiki Kaisha Toshiba | Plant operation control system |
WO2004084371A1 (fr) * | 1998-08-31 | 2004-09-30 | Kaoru Fujita | Procede et appareil de commande d'optimisation de groupe electrogene |
JP2006127079A (ja) * | 2004-10-28 | 2006-05-18 | Yamatake Corp | 制御対象モデル生成装置および生成方法 |
AU2007211294B2 (en) * | 2006-01-31 | 2012-05-10 | Landmark Graphics Corporation | Methods, systems, and computer-readable media for real-time oil and gas field production optimization using a proxy simulator |
DE102006034347A1 (de) * | 2006-07-25 | 2008-01-31 | Siemens Ag | Verfahren und Vorrichtung zur Optimierung eines Anlagensystems |
-
2010
- 2010-01-27 DE DE102010005955.2A patent/DE102010005955B4/de active Active
-
2011
- 2011-01-27 CA CA2788026A patent/CA2788026A1/fr not_active Abandoned
- 2011-01-27 AU AU2011209158A patent/AU2011209158B2/en active Active
- 2011-01-27 EP EP11716169A patent/EP2529341A2/fr not_active Ceased
- 2011-01-27 WO PCT/EP2011/000361 patent/WO2011092012A2/fr active Application Filing
- 2011-01-27 CN CN201180007614.7A patent/CN102713946B/zh active Active
- 2011-01-27 BR BR112012018802A patent/BR112012018802A2/pt not_active IP Right Cessation
- 2011-01-27 MX MX2012008585A patent/MX2012008585A/es active IP Right Grant
-
2012
- 2012-07-26 ZA ZA2012/05648A patent/ZA201205648B/en unknown
- 2012-07-27 US US13/560,755 patent/US8725480B2/en active Active
Non-Patent Citations (2)
Title |
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B. ULANICKI, P. L. M. BOUNDS, J. P. RANCE: "Using a GAMS modelling environment to solve network scheduling problems", MEASUREMENT + CONTROL, vol. 32, May 1999 (1999-05-01), pages 110 - 115, XP000896654 * |
See also references of WO2011092012A2 * |
Also Published As
Publication number | Publication date |
---|---|
DE102010005955B4 (de) | 2020-03-05 |
ZA201205648B (en) | 2013-04-24 |
CN102713946B (zh) | 2016-03-09 |
CN102713946A (zh) | 2012-10-03 |
US20120316852A1 (en) | 2012-12-13 |
CA2788026A1 (fr) | 2011-08-04 |
MX2012008585A (es) | 2012-10-15 |
AU2011209158A1 (en) | 2012-09-06 |
AU2011209158B2 (en) | 2015-04-09 |
WO2011092012A2 (fr) | 2011-08-04 |
WO2011092012A3 (fr) | 2011-10-13 |
DE102010005955A1 (de) | 2011-07-28 |
US8725480B2 (en) | 2014-05-13 |
BR112012018802A2 (pt) | 2016-05-03 |
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