COURSE “SYSTEM DESIGN: STRUCTURAL APPROACH” DETC2006-99547 Inst. for Information Transmission Problems Russian Academy of Sciences, Moscow 127994, Russia

COURSE “SYSTEM DESIGN: STRUCTURAL APPROACH” DETC2006-99547

Inst. for Information Transmission ProblemsRussian Academy of Sciences, Moscow 127994, Russia

Email: [email protected]

Mark Sh. LEVINhttp: //www.iitp.ru/mslevin/

The 18th DTM, Sept. 10-13, 2006, Philadelphia, Pennsylvania, USA

Recent course “Design of Systems: structural approach”, Moscow Inst. of Physics & Technology (State Univ.),

since Sept. 2004 http: //www.iitp.ru/mslevin/SYSD.HTM

PLAN

1.About Moscow Inst. of Physics & Technology 2.Decision cycle 3.Structure of the course 4.Three-layer hierarchy 5.Example: allocation problem (problem family) 6.Four illustrative examples for complex schemes7.Examples of student’s projects 8.Conclusion

ABOUT STUDENTS in MIPT

Special Selection Process: to select the best students

1.Educational background from schools2.Ability to Mathematics, Physics3.Creativity4.Background in IT (all components)5.Ability to learn6.Ability to plan7.Motivations (& interests in applied domains)

Recent course in MIPT: place of course

Mathematics

Physics

IT

T03 year

Real-WorldScience & Engineering

6 year

CHANGE OF

STYLE

STYLES:FROM: Learning (analogues)TO: Creation in Research&Engineering

MY FACULTY (now)

SoftwareHardwareVLSI designRadio PhysicsInformation systemsCommunication systemsManagement systemsOrganizational systemsSpace systems

MODELING & DESIGN: Multidisciplinary systems (& processes)

Faculty of Cybernetics & Radio Engineering(over 100 students: each year)

APPLIED DOMAINS:

DECISION CYCLE

Appliedproblem(s)

Math. Model(s)

Solvingscheme//

algorithms

Programs/procedures

Solving process(e.g., computing

DECISION

DESIGNED SYSTEMS

REQUIREMENTS:OBJECTIVES, CRITERIA

STANDARDS

SYSTEMS:1.PRODUCTS / PRODUCT FAMILIES

2.PROCESSES

Structure of course

I.BASIC SYSTEMS ISSUES1.1.Systems engineering (life cycle engineering)1.2.Structural models (graphs, networks, binary relations)II.SYSTEM ANALYSIS & DECISION MAKING2.1.Principles of systems analysis 2.2.Methods for rankingIII. COMBINATORIAL OPTIMIZATION & OPTIMIZATION3.1.Basic problems (e.g., knapsack, TSP, scheduling, routing,graph coloring)3.2.Complexity issues of combinatorial problems3.3.Optimization (convex programming, Mixed Int. Progr.)IV.DESIGN FRAMEWORKS (series, hierarchy, cascade-like)V.MORPHOLOGICAL DESIGN APPROACHESVI.ADDITIONAL SYSTEM ISSUES(maintenance, system testing, requirements engineering)

TECHNOLOGICAL SYSTEMS PROBLEMS: design, improvement/upgrade, multistage design, revelation of bottlenecks, evaluation, modeling of evolution/development

Recent course in MIPT: 3-layer hierarchy

LAYER 3:Methods & Models

Optimi-zation

Decisionmaking

Combinatorialoptimization

AI

LAYER 1:Applied complex systems

Hierarchical Systems (modular multi-level

approach)A B

Y

C

S=A*B*C*D

VU X

*Graphs*Networks*Binary relations

LAYER 2:Design frameworks Solving schemes

Composite solving schemes(solving engineering/technology )









Towards Optimization Models & Solving Approaches

BASIC MODELS FOR LABORATORY WORKS:1.Multicriteria decision making (ranking, 3 methods)2.Knapsack problem3.Multiple choice problem4.Clustering5.Proximity to an ideal decision6.Evaluation of a hierarchical modular system7.Combinatorial morphological synthesis8.Assignment / allocation problem9.TSP10.By choice

APPROACHES AND MODELS IN LECTURE MATERIALS:1.Continuous optimization2.Multidisciplinary optimization3.Mixed integer mathematical programming4.Parameter Space Investigation (PSI) approach5.Combinatorial optimization models, basic algorithm types, heuristics, and complexity issues

Allocation problem

Allocation (assignment, matching, location):

MAPPING

BIPARTITE GRAPH

1

2

3

4

5

6

7

8

a

b

c

d

e

f

g

h

Positions(locations, sites)

Set of elements(e.g., personnel, facilities)

Allocation problem: applied examples for elements & positions

1.Boys -- Girls (marriage problem)

2.Workers -- Work positions

3.Facilities --Positions in manufacturing system (facility layout)

4.Tasks -- Processors in multiprocessor system

5.Anti-rockets --Targets in defense systems

6.Files -- Databases in distributed information systems

Etc.

Evolution chart of allocation-like problems

Basic assignment problem

Quadratic assignment

problem

PLUS: distance matrix for positions

Generalized assignment

problem

PLUS: resource (s) for positions

Generalized quadraticassignment problem

Multicriteriaquadratic assignment

problem

Multicriteriageneralized assignment

problem

Multicriteria generalized Quadratic assignment problem

Multicriteria assignment problem

PLUS: multicriteriadescription

PLUS: distance matrix for position

PLUS: resource (s) for positions

PLUS: multicriteriadescription

1

2

3

4

a

b

c

d

e

f

g

h

Segments of market

PRODUCTS

EXAMPLE 1: Clustering, Assignment, Multiple Choice Problem

CUSTOMERS

2

Groupsof products

Marketing strategies

X

X

X

S=X*Y*Z

Y

Z=P*Q*U*V

Z1=P2*Q3*U1*V5

Z2=P1*Q2*U3*V1Y1

Y2

Y3

A B

A1

A2

A3

B1

B2

B3

B4

C1

C2

C3

C4

C5

D=I*J

I1

I2

I3

J1

J2

J3

J4

P1

P2

P3

Q1

Q2

Q3

Q4

U1

U2

U3

V1

V2

V3

V4

V5

V6

C

X=A*B*C*D

P Q U V

X1=A1*B2*C4*D3

X2=A3*B4*C2*D1

D1=I1*J1

D2=I1*J2

D3=I3*J4

S1=X2*Y3*Z2

S2=X1*Y2*Z1

JI

EXAMPLE 2: Hierarchical Design

EXAMPLE 3: Multistage design (lectures)

Stage 1

. . .

T0Stage 3

. . .

Stage 2

. . .

Trajectory

EXAMPLE 4: Evolution as Generations of software DSS COMBI (lectures)

System 0S0 = T

TechniquesT

T1

System 1S1 = T * U

TechniquesT

T2

T1

T3

U

L1

Userinterface

System 2S2 = T *U(L)*Y

TechniquesT

T2

T1

T3

U=L

L1

Userinterface

LanguageL

Y1

Tool for synthesisof solving strategy

Y

System 3S3 = T *U(L*G)*Y*E*H

TechniquesT

T2

T1

T3

L1

User inter-face U=L*G

LanguageL

Y1

Tool for synthesisof solving strategy

Y

G1

E1

Library ofexamples

E

H1

Hyper-text

H

L2

System 4S4 = T *U(L*G)*E*H

TechniquesT

T2

T1

T3

User inter-face U=L*G

LanguageL

E1

Library ofexamples

E

H1

Hyper-text

H

L2 G2

G

G

Graphics

Graphics


System 0

T0

System 1

System 2

System 3 System 4

Improvement


STUDENT PROJECTS (RESULTS OF LAB. WORKS; examples)

1.Software for signal simulation (software) 2.Computer class (educational multidisciplinary

environment) 3.Plan of body building (sport) 4.Musical project (art) 5.Allocation of communication devices

(configuration of communication facilities) 6.Plan of system testing

(“probing” for communication) 7.Organization of sport event (sport) 8.Control system for computer memory 9.Multicriteria analysis of computer protocols

10.Car

CONCLUSION

1.Collection of student’s materials

2.Organization of student’s homepages with results

3.Preparation of student’s results: presentations, papers

That’s All

Gr8 Thanks!

MY BASIC BOOKS (& my articles)

1.Levin M.Sh., Composite Systems Decisions. Springer, 2006.

2. Levin M.Sh., Combinatorial Engineering of Decomposable

Systems, Kluwer, 1998.

3. Belkin A.R., Levin M.Sh., Decision Making:Combinatorial Models of Information Approximation,

Nauka Publishing House (Russian Academy of Sciences), Moscow, 1990 (in Russian)

4. Levin M.Sh., Application of Combinatorial Models in Computer-Aided Systems.

VNIITEMR, Moscow, 1986 (in Russian)

Documents

COURSE “SYSTEM DESIGN: STRUCTURAL APPROACH” DETC2006-99547 Inst. for Information Transmission Problems Russian Academy of Sciences, Moscow 127994, Russia