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FICO™
XPRESS-MOSEL
CPLEX-OPL-ODM
IMPRESS
Why do you choose to
programming in any
specific optimization
technology when you
can program in all tools
at the same time with
only one effort ?
Why do you choose to
programming in any
specific optimization
technology when you
can program in all tools
at the same time with
only one effort ?
The best way is to have
the mathematical
models in a meta-
platform, like OPTEX,
and in a second phase
go to any specific
commercial platform.
ALGEBRAIC LANGUAGE
MATHEMATICAL
MODELERS
OPTIMIZATION
LIBRARY
E
R
P
DB2
ORACLE
EXCEL
DBF
MySQL
...
ODBC
CPLEX
CLOUD
FICO™
XPRESS
OPL
FICO™
MOSEL
SPECIAL SYSTEMS
ODM
IMPRESS
As a part of its process of
technological innovation,
DW has developed an
optimization technology
called
OPTEX
Mathematical
Modeling System
which is oriented to
designing, implementing
and setting up
large scale optimization
models for the real word .
OPTEX IS A META-FRAMEWORK
ORIENTED TOWARDS THE DESIGN, IMPLEMENTATION AND SETUP OF
DECISION SUPPORT SYSTEMS BASED IN MATHEMATICAL PROGRAMMING
WITH SPECIAL EMPHASIS IN THE DEVELOPMENT OF FINAL USER APPS:
 ALGEBRAIC FORMULATION IS INDEPENDENT FROM ANY PROGRAMMING
LANGUAGE
 CAN BE CONNECTED WITH ANY DATA SERVER
THEREBY GENERATING APPS USING MULTIPLE COMMERCIAL OR
NONCOMMERCIAL TECH ACCORDING TO CLIENTS’ NEEDS
OPTEX Mathematical Modeling System, was developed
to support DecisionWare’s mathematical modeling
projects since 1991.
OPTEX dramatically simplify the developing and solving
of complex optimization applications by supporting :
 Rapid Prototyping
 Big Data Intensive Optimization
 Decision-Making under Uncertainty
 Integrate Multiples Optimization Technologies
SUPPORTS ALL STAGES OF THE
MATHEMATICAL MODELING PROCESS
MATHEMATICAL
MODELING PROCESS
REAL
WORLD
DSS
DATABASE
MATHEMATICAL
MODELING PROCESS
ALGEBRAIC MODEL DATA MODEL
MODELERS
REAL
WORLD
DECISION MAKERS
G.R.G.
0-1
BALAS-BENDERS
LAGRAGIAN
RELAXATION
BENDERS THEORY
BRANCH &
BOUND
P.L.
FLUJO EN
REDES
G.R.G.
/PC
G.R.G.
/PL
D.F.P.
x, p
OPTIMIZATION SOLVER
DSS
DATABASE
DSS
DATABASE
NUMERICAL MODEL
MATHEMATICAL
MODELING PROCESS
MATRIX
GENERATION
ALGEBRAIC MODEL DATA MODEL
DECISION MAKERS
MODELERS
REAL
WORLD
G.R.G.
0-1
BALAS-BENDERS
LAGRAGIAN
RELAXATION
BENDERS THEORY
BRANCH &
BOUND
P.L.
FLUJO EN
REDES
G.R.G.
/PC
G.R.G.
/PL
D.F.P.
x, p
OPTIMIZATION SOLVER
DSS
DATABASE
DSS
DATABASE
NUMERICAL MODEL
MATHEMATICAL
MODELING PROCESS
MATRIX
GENERATION
ALGEBRAIC MODEL DATA MODEL
DECISION MAKERS
MODELERS
REAL
WORLD
THIRD PART PROVIDER
G.R.G.
0-1
BALAS-BENDERS
LAGRAGIAN
RELAXATION
BENDERS THEORY
BRANCH &
BOUND
P.L.
FLUJO EN
REDES
G.R.G.
/PC
G.R.G.
/PL
D.F.P.
x, p
OPTIMIZATION SOLVER
DSS
DATABASE
DSS
DATABASE
NUMERICAL MODEL
MATHEMATICAL
MODELING PROCESS
MATRIX
GENERATION
ALGEBRAIC MODEL DATA MODEL
DECISION MAKERS
MODELERS
REAL
WORLD
MAY BE
THIRD PART PROVIDER
MODELERS
REAL WORLD
ALGEBRAIC MODEL
DECISION MAKERS
DEVELOPING
MATHEMATICAL
MODELS
MODELERS
REAL WORLD
ALGEBRAIC MODEL
DECISION MAKERS
OPL
FICO™
MOSEL
OPTIMIZATION TECHNOLOGY
DEVELOPING
MATHEMATICAL
MODELS
TRADITIONAL WAY
PROGRAMMERS
DSS
DATA
BASE
DATA MODEL
PROGRAMMING
DSS
DATA
BASE
DATA MODEL
MODELERS
REAL WORLD
ALGEBRAIC MODEL
DECISION MAKERS
OPL
FICO™
MOSEL
OPTIMIZATION TECHNOLOGY
DEVELOPING
MATHEMATICAL
MODELS
OPTEX WAY
FILLING THE
BLANKS
CODE
GENERATION
A DECISION SUPPORT SYSTEM
IS AS A DECISION MAKING CHAIN
INTEGRATED BY A COLLECTION
OF MODELS AND DATA FLOW
PTA
Industrial Operations
Tactical Planning
DEM
Long/Medium/Short
Demand Planning
INV
Inventory
Policy
Medium / Short Term
Demand Projections
Inventory
Policy
Production
Goals
POD
Production
Schedule
DIS
Distribution
Schedule
Distribution
Goals
PCO
Sourcing
Sourcing
Goals
Production
Orders
Distribution
Orders
Sourcing
Orders
PES
Supply Chain Design
Short / Medium Term
Market Scenarios
Expansion
Plans
DSS
Short / Medium Term
Market Scenarios
PTA
Industrial Operations
Tactical Planning
DEM
Long/Medium/Short
Demand Planning
INV
Inventory
Policy
POD
Production
Schedule
DIS
Distribution
Schedule
PCO
Sourcing
PES
Supply Chain Design
DSS
COMMON
DATA MODEL
INFORMATION
SYSTEM
PTA
Industrial Operations
Tactical Planning
DEM
Long/Medium/Short
Demand Planning
INV
Inventory
Policy
POD
Production
Schedule
DIS
Distribution
Schedule
PCO
Sourcing
PES
Supply Chain Design
DSS
COMMON
DATA MODEL
INFORMATION
SYSTEM
FICO™
MOSEL
SUPPORTS DESIGN, IMPLEMENTATION,
START UP AND MAINTENANCE OF COMPLEX
DECISION SUPPORT SYSTEMS,
USING AN UNIFIED DEVELOPMENT ENVIRONMENT
ALGEBRAIC LANGUAGE
ELEMENTS
ALGEBRAIC LANGUAGES
• Algebraic Programming Language
• Database Algebraic Language
USER INTERFACE
• Based in database tables
• Operates in LANs and WANs (“Cloud Computing”)
• Visual Interface (MS-Windows)
• Filling the blanks parameterization
SERVICES
• Data-Model Generator
• Final User Interface Generator
• General Language Model Generator (C, Java …), includes Matrix Generator
• Algebraic Language Model Generator (GAMS, IBM ILOG OPL, MOSEL , AIMMS … )
PROBLEM SOLUTION
• Basic problems: LP, MIP, QP, MIQP, NLP
• Large Scale Theory: Benders Partition, Lagrangean Relaxation, Disjunctive Programming, …
• Links to multiple optimization libraries (GUROBI, IBM CPLEX, XPREXX, COIN-MP, … )
• Automatic Generation of Non-anticipative Multistage Stochastic Programming (MSP)
• Parallel solution in computers grids
CONNECTIVITY
• ERP/WMS/TMS/AMS: Enterprise Information Systems
• GIS: Geographic Information Systems
• ASP: Applications Service Provider (MS-Project, Google MAPS, …)
ELEMENTS
ALGEBRAIC LANGUAGEs:
• Programming Language
• Database Language
ALGEBRAIC LANGUAGES OBJECTS
MATHEMATICAL DEFINITIONS
• Index, Sets, Parameters, Variables, Equations,
Objective Functions, Planning Horizons, Decision
Trees
DECISION SUPPORT SYSTEMS
• Problems = S (Equations, Variables, Objective
Functions)
• Model = S (Problems, Data Flows)
• DSS = S (Models, Data Flows)
DATA MODEL
• DSN, Data Tables, Fields, Shell Windows, Data
Windows, Menus
OPTEX DATABASE
ALGEBRAIC LANGUAGE
OPTEX- DATABASE ALGEBRAIC LANGUAGE
SQL
Server
Internet - Intranet
MM
Server
MATHEMATICAL
MODEL
SERVER
INFORMATION
SYSTEM
EASY DEVELOPMENT MATHEMATICAL MODELS
IN A LAN-WAN ENVIRONMENT USING THE POWER
OF THE DATABASE SERVERS
OPTEX- DATABASE ALGEBRAIC LANGUAGE
SQL
Server
Internet - Intranet
MM
Server
MATHEMATICAL
MODEL
SERVER
INFORMATION
SYSTEM
THE IMPLEMENTATION OF A
DECISION SUPPORT SYSTEMS IS BASED IN
A FILLING THE BLANKS PROCESS
OPTEX- DATABASE ALGEBRAIC LANGUAGE
MATHEMATICAL MODELS BASIC ELEMENTS
ARE STORED IN A DATA BASE
JVB-08/94OPTEX
Min St Sj Sh CTt(GTjth)
sujeto a:
GDzth = SuTN(z) LDuzth
GDzth + GHAzth + DEFzth = DEMzth
ENuth - SjL1(u) GTEjuth
- SvL2(u) LLvuth = 0
. . . . .
z  NOD
t = 1,T
h = 1,NH
z  NOD
t = 1,T
h = 1,NH
u  LIN
t = 1,T
h = 1,NH
INDEXESINDEXES
OPTEX- DATABASE ALGEBRAIC LANGUAGE
JVB-08/94OPTEX
Min St Sj Sh CTt(GTjth)
sujeto a:
GDzth = SuTN(z) LDuzth
GDzth + GHAzth + DEFzth = DEMzth
ENuth - SjL1(u) GTEjuth
- SvL2(u) LLvuth = 0
. . . .
z  NOD
t = 1,T
h = 1,NH
z  NOD
t = 1,T
h = 1,NH
u  LIN
t = 1,T
h = 1,NH
SETSSETS
OPTEX- DATABASE ALGEBRAIC LANGUAGE
OPTEX- DATABASE ALGEBRAIC LANGUAGE
DATABASE
CONNECTIVITY
AUTOMATIC GENERATION OF
MATHEMATICAL MODEL- DATA MODEL
SQL CONNECTIVITY
JVB-08/94OPTEX
Min St Sj Sh CTt(GTjth)
sujeto a:
GDzth = SuTN(z) LDuzth
GDzth + GHAzth + DEFzth = DEMzth
ENuth - SjL1(u) GTEjuth
- SvL2(u) LLvuth = 0
. . . .
z  NOD
t = 1,T
h = 1,NH
z  NOD
t = 1,T
h = 1,NH
u  LIN
t = 1,T
h = 1,NH
PARAMETERSPARAMETERS
OPTEX- DATABASE ALGEBRAIC LANGUAGE
OPTEX- DATABASE ALGEBRAIC LANGUAGE
DATABASE
CONNECTIVITY
TIPO DE SERIE INTERPRETACIÓN
E
ESCALÓN
(STEP)
I
IMPULSO
(PULSE)
P
POLI LÍNEA
(POLY LINE)
OPTEX- DATABASE ALGEBRAIC LANGUAGE
MULTIPLES FORMS OF
DATA INTERPRETATION
JVB-08/94OPTEX
Min St Sj Sh CTt(GTjth)
sujeto a:
GDzth = SuTN(z) LDuzth
GDzth + GHAzth + DEFzth = DEMzth
ENuth - SjL1(u) GTEjuth
- SvL2(u) LLvuth = 0
. . . .
z  NOD
t = 1,T
h = 1,NH
z  NOD
t = 1,T
h = 1,NH
u  LIN
t = 1,T
h = 1,NH
VARIABLES
OPTEX- DATABASE ALGEBRAIC LANGUAGE
JVB-08/94OPTEX
Min St Sj Sh CTt(GTjth)
sujeto a:
GDzth = SuTN(z) LDuzth
GDzth + GHAzth + DEFzth = DEMzth
ENuth - SjL1(u) GTEjuth
- SvL2(u) LLvuth = 0
. . . .
z  NOD
t = 1,T
h = 1,NH
z  NOD
t = 1,T
h = 1,NH
u  LIN
t = 1,T
h = 1,NH
CONSTRAINTS
OPTEX- DATABASE ALGEBRAIC LANGUAGE
OPTEX- DATABASE ALGEBRAIC LANGUAGE
OPTEX- DATABASE ALGEBRAIC LANGUAGE
COORDINATION DECISIONS
OVER SPACE AND TIME
MO
IL
MO
WO MO
Tiempo
OPTEX- DATABASE ALGEBRAIC LANGUAGE
FOR DISCRETE TIME MODELS, THE
PLANNING HORIZON MAY BE IN YEARS,
MONTHS, DAY, HOURS, MINUTES, …
PROBLEMS
MODELS
OPTEX – DECISION SUPPORT SYSTEM ELEMENTS
A PROBLEM IS A COLLECTION OF CONSTRAINTS
A MODEL IS A COLLECTION OF PROBLEMS
CONNECTED BY A DATA FLOW AND A MODEL CONTROL
IN OPTEX IS DIRECT THE UNION OF MATHEMATICAL PROGRAMMING
PROBLEMS TO GENERATE A NEW MODEL OR VARIATION OF AN
ALREADY EXISTING MODEL
=+
A DECISION SUPPORT SYSTEM IS A COLLECTION OF
MODELS AND DATA FLOW ALL USING THE SAME DATA MODEL
AND THE SAME FRAMEWORK
PTA
Aggregated Industrial
Operations
Tactical Plannings
DEM
Demand
Long/Medium/Short
Term
INV
Inventory
Policies
Demand Forecasting
Medium/Short Term
Demand Stages
Medium/Short Term
Inventory
Policies
Production
Goals
POD
Production
Scheduling
DIS
Distribution
scheduling
Distribution
Goals
PCO
Sourcing
Scheduling
Consumption
Goals
Production
Orders
Distriution
Orders
Purchase
Orders
PES
Supply Chain Design
Marjet Stages
Long/Medium Term
Expansion
Plans
DSS
DSS
MODELS
OPTEX – DECISION SUPPORT SYSTEMS ELEMENTS
ADVANCED OPTIMIZATION
INVESTMENTS COORDINATOR
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC 1
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC 1
INTERSECTOR OPERATIONS
COORDINATOR
STOCHASTIC CONDITION 1
DYNAMIC
COORD.
ZONA S.1
DYNAMIC
COORD.
ZONA S.ZS
DYNAMIC
COORD.
ZONE 1.1
DYNAMIC
COORD.
ZONA 1.Z1
1 T2 T-1 1 T2 T-1 1 T2 T-1 1 T2 T-1
TIME
PARTITION
INVESTMENTS
SECTOR
ZONE
DECOMPOSITION
MULTILEVEL
SYSTEM
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC H
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC H
INTERSECTOR OPERATIONS
COORDINATOR
STOCHASTIC CONDITION H
DYNAMIC
COORD.
ZONA S.1
DYNAMIC
COORD.
ZONA S.ZS
DYNAMIC
COORD.
ZONE 1.1
DYNAMIC
COORD.
ZONA 1.Z1
1 T2 T-1 1 T2 T-1 1 T2 T-1 1 T2 T-1
RANDOM
OPERATIONS
NON-ANTICIPATIVE STOCHASTIC OPTIMIZATION
PROBABILISTICS CONSTRAINTS
BENDERS PARTITIONING THEORY
LAGRANGIAN RELAXATION
PARAMETRIC PROGRAMMING
DISJUNCTIVE PROGRAMMING
AUTOMATIC LINEARIZATION
….
LARGE SCALE OPTIMIZATION
AND
DECISION SUPPORT SYSTEM ELEMENTS
MODELSPROBLEMS DSSs
OPTEX- DATABASE ALGEBRAIC LANGUAGE
INTEGRATED
MODEL
INVESTMENTS
-
OPERATIONS
OPTEX- LARGE SCALE METHODOLOGIES
INVESTMENTS
COORDINATOR
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC 1
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC 1
INTERSECTOR OPERATIONS
COORDINATOR
STOCHASTIC CONDITION 1
DYNAMIC
COORD.
ZONA S.1
DYNAMIC
COORD.
ZONA S.ZS
DYNAMIC
COORD.
ZONE 1.1
DYNAMIC
COORD.
ZONA 1.Z1
1 T2 T-1 1 T2 T-1 1 T2 T-1 1 T2 T-1TIME
PARTITION
INVESTMENTS
SECTOR
ZONE
DECOMPOSITION
MULTILEVEL
SYSTEM
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC H
INTERZONE
COORDINATOR
SECTOR 1
STOCHASTIC H
INTERSECTOR OPERATIONS
COORDINATOR
STOCHASTIC CONDITION H
DYNAMIC
COORD.
ZONA S.1
DYNAMIC
COORD.
ZONA S.ZS
DYNAMIC
COORD.
ZONE 1.1
DYNAMIC
COORD.
ZONA 1.Z1
1 T2 T-1 1 T2 T-1 1 T2 T-1 1 T2 T-1
RANDOM
OPERATIONS
PROBLEMS <-> MODELS
OPTEX- LARGE SCALE METHODOLOGIES
HYDRAULIC SYSTEM
COORDINATOR PROBLEM: MODBENCO
CCP, CGH, CGS, COE, CSP, EQE, SQE
yk
ELECTRIC SYSTEM
SUB-PROBLEM: MODBENUNNU
DUN, NUN
pk
vk
OPTEX- BENDERS IMPLEMENTATION
HYDRAULIC SYSTEM
COORDINATOR PROBLEM: MODBENCO
CCP, CGH, CGS, COE, CSP, EQE, SQE
yk
ELECTRIC SYSTEM
SUB-PROBLEM: MODBENNU
DUN, NUN
pk
vk
MODEL: MODBENNU
OPTEX- BENDERS IMPLEMENTATION
Scenario H
Scenario 1
Scenario 2
ARBOL DE DECISIONES DE
MULTIPLES ETAPAS
t = 1 t = 2 t = 3 t = 4
OPTEX- MULTISTAGE STOCHASTIC OPTIMIZATION
OPTEX HAS TOOLS ORIENTED TO DEVELOP
MULTISTAGE STOCHASTIC OPTIMIZATION MODELS
AUTOMATIC CONVERSION OF A
DETERMINISTIC MODEL INTO STOCHASTIC
MULTI-STAGE
DECISION TREE
OPTEX HAS TOOLS ORIENTED TO DEVELOP
MULTISTAGE STOCHASTIC OPTIMIZATION
INCLUDING MULTIPLES TYPES OF RISK CONSTRAINTS
Conditional Value-at-Risk (CVaR)
Cost Probability Function
Standard
Deviation
(s)
VaR
b=0.05
1.645 s
Cost - f(x|w)a(b)
f ( f(x|w) )
jb( f(x|w) )
OPTEX- MULTISTAGE STOCHASTIC OPTIMIZATION
AUTOMATIC CONVERSION
OF ANY DETERMINISTIC MODEL
INTO A STOCHASTIC MODEL
DETERMINISTIC CASE
t = 1 t = 2
Mean
Demand
Deterministics
Decisions
Deterministics
Future Operations
Decisions
TWO-STAGE DECISION TREE FOR
DEMAND: UNCERTAINTY DIMENSION
t = 1 t = 2
Scenario
Demand 10
Scenario
Demand 1
Scenario
Demand 2
Deterministics
Decisions
0.10
0.10
Uncertainty
Future Operations
Decisions
Demand 10
Demand 1
Demand 2
0.10
0.10
Demand 10
Demand 1
Demand 2
0.10
0.10
WITHOUT Extrem Event
0.90
0.10
t = 1 t = 2
Deterministics
Decisions
Uncertainty
Future Operations
Decisions
TWO-STAGE DECISION TREE FOR
DEMAND: UNCERTAINTY DIMENSION 1
EXTREME EVENT: UNCERTAINTY DIMENSION 2
WITH Extrem Event
THE AUTOMATIC CONVERSION IMPLIES:
1. TO INCLUDE THE INDEXES RELATED WITH THE
UNCERTAINTY DIMENSIONS
1.
THE AUTOMATIC CONVERSION IMPLIES:
2. TO DEFINE A DECISION TREE
3. TO SPECIFY THE NON ANTICIPATIVE VARIABLES
4. TO SPECIFY THE PARAMETERS WITH THE
UNCERTAINTY DIMENSIONS
3.
4.
2.
THE AUTOMATIC CONVERSION IMPLIES:
5. TO LINK THE MODEL WITH THE DECISION TREE
5.
THE AUTOMATIC CONVERSION IMPLIES:
6. TO INCLUDE IN THE TABLES THE FIELDS
ASSOCIATED TO THE UNCERTAINTY DIMENSIONS
6.
OPTEX PROGRAMMING
ALGEBRAIC LANGUAGE
(like GAMS, AMPL, LPL, …)
OPTEX PROGRAMMING ALGEBRAIC LANGUAGE
AUTOMATIC
DOCUMENTATION
Internet-Intranet
SERVIDOR
MODELOS
MATEMÁTICOS
OPTEX
WIDE AREA NETWORK
DOCUMENTATION
 OPTEX generates automatically the following documentation:
 Algebraic Formulation
 Information system data model
 Connectivity with other data models
Remote Access Server
Connectivity
RTF DOCUMENT
GENERATED BY OPTEX
RTF FIELD
FILLED BY OPTEX
PROBLEM SOLUTION
OPTEX – MATHEMATICAL PROBLEM FORMATS
OPTEX-MMS incorporates optimization methodologies depending on
the optimization library that is being used.
• LINEAR PROGRAMMING (LP)
• MIXED INTEGER PROGRAMMING (MIP).
• MIXED BINARY PROGRAMMING (BP)
• QUADRATIC PROGRAMMING (QP)
• QUADRATIC MIXED PROGRAMMING (QMP)
• QUADRATIC PROGRAMMING (QP-QR)
• INTEGER QUADRATIC PROGRAMMING (QMP-QR)
• NON-LINEAR PROGRAMMING (NLP)
• MIXED COMPLEMENTARITY PROGRAMMING (MCP)
OPTEX PROCESSOR
MODELS
GAMS – MPS
IBM ILOG OPL
MOSEL – AIMMS - …
MODEL RESULTS
(PRIMAL – DUAL)
DATABASE
ALGEBRAIC LANGUAGE
OPTEX
PROCESSOR
MODELS
C PROGRAMS
LIB or DDL LIBRARY
OPTEX
WIDE AREA NETWORK
Internet-Intranet
SERVIDOR
MODELOS
MATEMÁTICOS
Remote access
server connectivity
CLOUD SERVER
ALGEBRAIC
LANGUAGE
SOLVER
C ANSI
SOLVER
CLOUD LINK
SOLVING
C MODELS
Internet
MATHEMATICAL
MODEL’S
ERVER
OPTEX
ERP
DATABASE
Remote Access Server
Connectivity
OPTEX
Graphic User Interface
OPTEX
Mathematical Modeling
Processor
ODBC
USUARIOS
ILIMITADOS
OPTIMIZATION LIBRARY
CPLEX
FICO™
XPRESS
MATHEMATICAL MODEL
C LANGUAGE
OPTEX – C DSS PROGRAM STRUCTURE
I/O
Routines
MODELs
Routines
Main
OPTEX-COINLP
LINK
Routine
COINLP
Routines
CPLEX
Routines
CONSTRAINTs
Routines
OPTEX-CPLEX
LINK
Routine
OPTEX-xxxxx
LINK
Routine
XXXXX
Routines
PROBLEMs
Routines
LARGE SCALE OPTIMIZATION
Routines
DSS.LIB or DSS.DLL
DSS
DATABASE
OPTEX – C DSS PROGRAM STRUCTURE
MODELs
Routines
OPTEX-COINLP
LINK
Routine
COINLP
Routines
CPLEX
Routines
CONSTRAINTs
Routines
OPTEX-CPLEX
LINK
Routine
OPTEX-xxxxx
LINK
Routine
XXXXX
Routines
PROBLEMs
Routines
LARGE SCALE OPTIMIZATION
Routines
DSS.LIB or DSS.DLL
DSS
DATABASE
USER
Routines
OPTEX-USER
LINK
Routine
Customized Visual User Interface
USER
ERP
USER
TRANSACTIONAL
SQL DATABASE
MATHEMATHICAL MODEL.EXE
Customized Visual User Interface
OPTEX: PRODUCTION PHASE
SOLVING
GAMS MODELS
Internet
OPTEX
ERP
DATABASE
Remote Access Server
Connectivity
OPTEX
Graphic User Interface
ODBC
OPTEX
Mathematical Modeling
Processor
CPLEX
FICO™
Xpress
MATHEMATICAL
MODEL’S
ERVER
Internet
OPTEX
ERP
DATABASE
OPTEX
Graphic User Interface
ODBC
OPTEX
Mathematical Modeling
Processor
CPLEX
MATHEMATICAL
MODEL’S
ERVER
Remote Access Server
Connectivity
FICO™
Xpress
MATHEMATICAL MODEL
GAMS ALGERAIC LANGUAGE
SOLVING
IBM-OPL MODELS
Internet
OPTEX
ERP
DATABASE
OPTEX
Graphic User Interface
OPTEX
Mathematical Modeling
Processor
ODBC
CPLEX
OPL
Remote Access Server
Connectivity
MATHEMATICAL
MODEL’S
ERVER
MATHEMATICAL MODEL
IBM-OPL LANGUAGE
IBM-ODM FRAMEWORK
IBM-ODM FRAMEWORK
SOLVING
MOSEL-XPRESS MODELS
Internet
OPTEX
ERP
DATABASE
OPTEX
Graphic User Interface
OPTEX
Mathematical Modeling
Processor
ODBC
Remote Access Server
Connectivity
MATHEMATICAL
MODEL’S
ERVER
MATHEMATICAL MODEL
MOSEL ALGERAIC LANGUAGE
SOLVING
AIMMS MODELS
Internet
OPTEX
ERP
DATABASE
OPTEX
Graphic User Interface
OPTEX
Mathematical Modeling
Processor
ODBC
Remote Access Server
Connectivity
MATHEMATICAL
MODEL’S
ERVER
CPLEX
FICO™
Xpress
MATHEMATICAL MODEL
AIMMS ALGERAIC LANGUAGE
SOLVING
AMPL MODELS
(UNDER DEVELOPMENT)
Internet
OPTEX
ERP
DATABASE
OPTEX
Graphic User Interface
OPTEX
Mathematical Modeling
Processor
ODBC
Remote Access Server
Connectivity
MATHEMATICAL
MODEL’S
ERVER
UNDER DEVELOPMENT
CPLEX
FICO™
Xpress
MATHEMATICAL MODEL
AIMMS ALGERAIC LANGUAGEMATHEMATICAL MODEL
AMPL ALGERAIC LANGUAGE
SOLVING
iAL IMPRESS MODELS
(UNDER DEVELOPMENT)
SUPER STRUCTURE
&sUnit,&sOperation,&sPort,&sState
IMPRESS
SIMM:
MATHEMATICAL
MODEL
INFORMATION
SYSTEM
SIDI:
INDUSTRIAL
DATA
INFORMATION
SYSTEM
(UOPSS) IMPRESS Files
POSSIBLE FUTURE LINKS
INFORMATION SYSTEMS CONNECTIVITY
INDUSTRIAL DATA
INFORMATION SYSTEM
INFORMATION
SYSTEM
Min St Sj Sh CTt(GTjth)
sujeto a:
GDzth - SuTN(z) LDuzth = 0
GDzth + GHAzth + DEFzth = DEMzth
ENuth - SjL1(u) GTEjuth
- SvL2(u) LLvuth = 0
Sistema Descripción
Capacidad
Térmica (MW)
EEB.
ISA.
EPM
COR
Energía Eléctrica de Bogotá
Interconexión Eléctrica S.A.
Empresas Públicas de Medellín
CORELCA
45
67
0
78
SIMM: MATHEMATICAL MODEL
INFORMATION SYSTEM
SIDI: INDUSTRIAL DATA
INFORMATION SYSTEM
IMPLEMENTATION OF THE
INDUSTRIAL DATA
INFORMATION SYSTEM
SIMM – SIDI
RELATION
INDEX
Parameter
Restricción
IndexesVariable
Indexes
Indexes
ENTITY
ENTITIES
RELATIONS
SIMM:
MATHEMATICAL
MODEL
INFORMATION
SYSTEM
SIDI:
INDUSTRIAL
DATA
INFORMATION
SYSTEM
IndexesSets
IMPLEMENTATION INDUSTRIAL DATA INFORMATION SYSTEM
IN OPTEX THE IMPLEMENTATION OF THE
INDUSTRIAL DATA INFORMATION SYSTEM IS
BASED IN A FILLING THE BLANKS GUIDED
PROCESS, SIMILAR TO THE PROCESS TO
IMPLEMENTATION OF THE MATHEMATICAL
MODELS.
THE MODELER DOESN’T NEED TO BE AN SPECIALIST
IN DATABASES LANGUAGES AND INFORMATION
SYSTEMS
IN OPTEX THE IMPLEMENTATION OF THE
INDUSTRIAL DATA INFORMATION SYSTEM IS
BASED IN A FILLING THE BLANKS GUIDED
PROCESS, SIMILAR TO THE PROCESS TO
IMPLEMENTATION OF THE MATHEMATICAL
MODELS.
THE MODELER DOESN’T NEED TO BE AN SPECIALIST
IN DATABASES LANGUAGES AND INFORMATION
SYSTEMS
IMPLEMENTATION INDUSTRIAL DATA INFORMATION SYSTEM
TABLES DEFINITION
FIELDS DEFINITION
INDEX TABLES DEFINITION RELATIONAL FIELDS DEFINITION
IMPLEMENTATION INDUSTRIAL DATA INFORMATION SYSTEM
EXPLORER MENU DEFINITION
IMPLEMENTATION INDUSTRIAL DATA INFORMATION SYSTEM
RELATIONAL INFORMATION SYSTEM
OPTEX
INFORMATION
SYSTEM
INDUSTRIAL DATA
INFORMATION SYSTEM
IS A COLLECTION OF:
DATA TABLES, SHELL WINDOWS, DATA
WINDOWS AND MENUS ORIENTED TO THE
FINAL USER
INDUSTRIAL DATA INFORMATION SYSTEM
INDUSTRIAL DATA INFORMATION SYSTEM
THE DATABASE OF THE INFORMATION SYSTEM
IS A COLLECTION OF RELATIONAL DATA TABLES
ORIENTED TO MANAGE LARGE AMOUNT OF DATA, LIKE IN
THE REAL WORLD MODELS.
OPTEX GENERATES, ON-LINE, DATA
WINDOWS WITH A COLLECTION OF
WINDOWS-TOOLS THAT HELP THE USER IN
THE LABOR OF DATA CAPTURE.
THE DATA WINDOWS ARE JOINT IN A SHELL
WINDOWS IN A RELATIONAL APPROACH.
INDUSTRIAL DATA INFORMATION SYSTEM
BREWING PLANTS BREWING PLANT
PRODUCT
BREWING PLANT
HOURS
BREWING PLANT
RESOERCE
PRODUCT
BREWING PLANT
INITIAL CONDITIONS
BREWING PLANT
RESOURCE
BREWING PLANT
FACTORY
OPTEX FORM WINDOW TO CAPTURE/MODIFY DATA
INCLUDING HELP TOOLS
OPTEX EXPLORER WINDOWS
TO MAINTENANCE DATA TABLES
HIERARCHIC INFORMATION SYSTEM FOR MODELS RESULTS
SCENARIO FAMILY
ROOT DIRECTORY
Family
No. 1
Directory
Family
No. E
Directory
Family
No. n
Directory
Scenario
No. E-X
Directory
Scenario
No. E-X
Directory
Tables
Sets
Parameters
Tables
Sets
Parameters
Tables
Variables
Primal-Dual
Tables
Sets
Parameters
Tables
Variables
Primal-Dual
Scenario
No. E-X
Directory
Tables
Sets
Parameters
Tables
Variables
Primal-Dual
AUTOMATICALLY, OPTEX GENERATES A HIERARCHIC INFORMATION
SYSTEM TO STORE THE RESULTS OF THE MODELS USING THE
CONCEPTS OF SCENARIOS AND FAMILY OF SCENARIOS.
OPTEX STORES
THE RESULTS
IN DATA
TABLES
AND/OR IN
TEXT FILES
AND/OR IN
EXCEL FILES
INDUSTRIAL DATA INFORMATION SYSTEM
OPTEX STORES
THE RESULTS
IN DATA
TABLES
AND/OR IN
TEXT FILES
AND/OR IN
EXCEL FILES
INDUSTRIAL DATA INFORMATION SYSTEM
DATA MODEL
INFORMATION
SYSTEM
DATABASE
ALGEBRAIC
LANGUAGE
MODELS IN
PROGRAMS
C - GAMS – OPL – AIMMS
…
RTF
DESIGN
IMPLEMENTATION
MANUAL
END USER
VISUAL
INTERFACE
MODELERS
USERS
OPTEX
PROCESSOR
OPTEX-GUI
1
2
3
4
5a
6
7
5c
MODELERS
5b
ASP - CONNECTIVITTY
DECISION
SUPPORT
INFORMATION
SYSTEM
OR SCIENTISTS
VISUALIZATION
TOOLS
CONNECTIVITY
DECISION
SUPPORT
INFORMATION
SYSTEM ERP
TMS
WMS
EDN USER
INFORMATION
SYSTEM
XML
MAPING
ODBCs
Web Services
DECISIONMAKERS
OR SCIENTISTS
VISUALIZATION
TOOLS
CONNECTIVITY
OPEN PROJECT
MS-PROJECT
IBM ILOG
JViews
GEOGRAPHIC
INFORMATION
SYSTEM
OLAP
MDX
SERVER
CLIENT – SERVER ARCHITECTURE
OPTEX
SQL DATABASE
OPTEX - SERVER
MATHEMATICAL
MODELING PROCESSOR
OPTEX CLIENT
OPTEX
SQL DATABASE
OPTEX - SERVER
MATHEMATICAL
MODELING PROCESSOR
OPTEX CLIENT
OPTEX
SQL DATABASE
ERP/TMS/WMS
DATABASE
OPTEX
OLAP DATABASE
OPTEX - SERVER
MATHEMATICAL
MODELING PROCESSOR
OPTEX CLIENT
VISUALIZATION
SERVER
CLOUD LINK
EXCEL
PROGRAMS IN DIFERENT
LANGUAGES
C – GAMS – IBM OPL –
MOSEL – AIMMS - AMPL
MPS
MODEL
OPTEX
CLOUD SERVER
EXCEL
OUTPUT DATA
EXCEL
INPUT DATA
OPCHAIN
OPTIMIZING THE VALUE CHAIN
To capitalize its expertise in mathematical optimization projects,
DW ​​created OPCHAIN, a brand through which we have grouped
the solutions developed by DW, in different areas of application
using mathematical programming methodologies and technologies.
In 2012, OPCHAIN has ​​accumulated the experience of more than
thirty-five (35) years in engineering problem solving and business
analytics using mathematical programming models. OPCHAIN
models are fully programmable​​, easy to customize for each client,
and are easily integrated with other IT solutions in organizations.
OPCHAIN
OPTIMIZING THE VALUE CHAIN
OPCHAIN-SCO
SUPPLY CHAIN OPTIMIZATION
OPCHAIN-TSO
TRANSPORT SYSTEMS OPTIMIZATION
OPCHAIN-RSO
RETAIL CHAIN OPTIMIZATION
OPCHAIN-RPO
REGIONAL PLANING OPTIMIZATION
OPCHAIN-ESO
ENERGY SYSTEMS OPTIMIZATION
OPCHAIN-BANK
BANK SYSTEMS OPTIMIZATION
OPCHAIN-EDO
EDUCATIONAL SYSTEMS OPTIMIZATION
OPCHAIN-MINES
MINES SYSTEMS OPTIMIZATION
OPTEX Mathematical Modeling System,
was developed to support
DecisionWare’s mathematical modeling
projects since 1991.
OPTEX has supported the development
of all multi-model OPCHAIN-DSS
developed by
SERVICES
 TO SELL OPTEX MATHEMATICAL MODELING MANAGEMENT
SYSTEM
 TO SELL OPCHAIN-MODELS IN ANY PLATFORM
(INCLUDING SOURCE CODE)
 TO CONVERT MODELS FROM ANY PLATFORM TO ANY PLATFORM
 TO DEVELOPMENT ON DEMAND MODELS IN ANY PLATFORM
www.decisionware.net

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OPTEX Mathematical Modeling System