INDUSTRIAL MATHEMATICS GROUP STUDY GROUP ACTIVITIES MOHAN C

INDUSTRIAL MATHEMATICS GROUP & STUDY GROUP ACTIVITIES MOHAN C JOSHI mcj@math. iitb. ac. in INDUSTRIAL MATHEMATICS GROUP IIT BOMBAY

CONTENTS • INDUSTRIAL MATHEMATICS GROUP • STUDY GROUP ACTIVITY • NATIONAL ACTIVITIES PERSPECTIVE

INDUSTRIAL MATHEMATICS GROUP • INITIALLY STARTED ABOUT TWO DECADES AGO TO SPREAD THE APPLICABILITY POWER OF MATHEMATICS IN SOLVING REAL LIFE PROBLEMS • CURRENTLY, ALSO INVOLVED IN PROTECTING THE INTEREST OF MATHEMATICS AND MATHEMATICIANS BY DEFINING ROLE OF MATHEMATICS FOR PURPOSEFUL WORK IN SCIENCE AND TECHNOLOGY

PURPOSEFUL ROLE • PROVIDE VIABLE MATHEMATICAL AND STATISTICAL FRAMEWORK FOR ANALYSIS AND COMPREHENSION OF EFFICIENT METHODOLOGIES IN TECHNOLOGICAL PROCESSES • INTRODUCE THE PRACTICING MATHEMATICIANS TO LATEST ART AND CRAFT OF MATHEMATICAL TECHNOLOGY • EMPHASIZE THE NEED OF COMPUTER AIDED ENVIRONMENT EQUIPPED WITH APPROPRIATE SOFTWARE TO FUNCTION AS TEACHING AID • TRAIN SCIENTISTS AND ENGINEERS TO INTERACT WITH BOTH ACADEMICIANS AND INDUSTRIAL SCIENTISTS • DEVELOP A NETWORK OF COLLABORATING INSTITUTIONS TO TACKLE PROBLEMS OF MUTUAL INTEREST

AREAS OF RESEARCH INTEREST • MODELLING AND SIMULATION • CONTROL AND OPTIMIZATION • NUMERICAL COMPUTATION INCLUDING FEM • SOLVABILITY ANALYSIS OF ODE AND PDE • SATISTICAL ANALYSIS AND FINANCIAL MATHEMATICS • COMPUTER AIDED GEOMETRIC DESIGN

ACTIVELY INVOLVED IN • ORGANIZING WORKSHOPS - CUM - STUDY GROUP MEETINGS TO DEAL WITH REAL LIFE PROBLEMS REQUIRING MATHEMATICAL SOLUTION UNDER THE AUSPICES OF AICTE, NBHM, DST, UNESCO, INDO-UK NETWORKING PROGRAMME • SPONSORED PROJECTS FROM DST, AICTE, NBHM AND EUINDIA CO-OPERATIVE PROGRAMME • INTERACTION WITH RBI AND OTHER BANKS IN THE AREA OF FINANCIAL MATHEMATICS • DEVELOPING PARTNERSHIP WITH INDUSTRY FOR RESEARCH AND JOINT PROGRAMMES • NETWORKING WITH OTHER INSTITUTIONS IN INDIA FOR WORKSHOPS, SCIENTIFIC VISITS AND POSSIBLE JOINT PROGRAMMES

IMG PROBLEM SOLVING ACTIVITIES CARRIED OUT WORKSHOPS ( STUDY GROUP MEETINGS ) ON A NATIONAL AND INTERNATIONAL SCALE ( IN COLLABORATION WITH OCIAM, OXFORD UNIVERSITY) • DECEMBER 2002, IIT BOMBAY • DECEMBER 2003, MSU, BARODA • DECEMBER 2004, IIT BOMBAY • MARCH 2006, MSU, BARODA (CONFERENCE)

SAMPLE OF 2002 PROBLEMS • CONSTRUCTING A WAVE REFLECTOR TO PROTECT BEACHES • THE SELF HEATING COFFEE-CAN • A STRATEGY FOR ANALYSIS OF LARGE GROUP OF POLLUTED SOIL SAMPLES • VALUATION OF CURRENCY OPTIONS USING ARTIFICIAL NEURAL NETWORK • OPTIMUM HEIGHT FOR CHECK DAM ON A RIVER

SAMPLE OF 2003 PROBLEMS • UPSTREAM RESERVOIR WATER LEVEL OF SARDAR SAROVAR DAM • HEAT TREATMENT ANALYSIS OF BALL BEARINGS • OPTICAL MEASUREMENTS OF YARN HAIRINESS • ANALYSIS OF FERRO-RESONANCE IN POTENTIAL TRANSFORMERS • FAIR PRICE FOR THE OPTIONAL DERIVATIVES • UNDERGROUND COAL GASIFICATION

SAMPLE OF 2004 PROBLEMS • PLANNING OF LOOP TYPE DISTRIBUTION SYSTEM LAYOUT • TEMPERATURE RISE CALCULATION FOR A DRY TYPE TRANSFORMER • TRANSMISSION OF THE MONETARY POLICY IMPULSES • CONTROL OF INLET TEMPERATURE OF EXPERIMENT ASSEMBLY • SIMULATION OF UCG CAVITY • MODELING MEMORY ACCESS PATTERNS IN VLSI SYSTEM • OPTIMUM COMPOSITION OF PORTFOLIO

SAMPLE OF 2006 PROBLEMS • MATHEMATICAL MODEL OF OIL IMMERSED EXPLOSION TYPE FUSE • MODELLING ENERGY FORECASTING • NEURAL MODELING OF MOONEY VISCOSITY OF POLY BUTADIENE RUBBER • GEOMETRIC MODELLING OF TYRE PROFILING • OPTIMIZATION BETWEEN LIQUIDITY AND PROFITABILITY OF URBAN COOPERATIVE BANKS • COMMUNICATION ISSUES IN DATA TRANSMISSION • OPTIMUM COMPOSITION OF PORTFOLIO • ENERGY DISSIPATION AND FLOW SIMULATION IN SARDAR SAROVAR DAM

ABOUT THE STUDY GROUP • REAL LIFE PROBLEM PRESENTATION BY USER COMMUNITY • PARTICIPATING TEAM MEMBERS (5 -6 PERSONS) WORK ON PROBLEM JOINTLY • EMPHASIS ON TIME SCHEDULE FOR PROBLEM SOLVING • FORMAL SOLUTION PRESENTATION WITH FULL MATHEMATICAL MODEL, TECHNIQUES, ALGORITHMS AND NUMERICAL RESULTS

DAILY SCHEDULE - DAY 1 THE FIRST DAY OF THE 6 -DAY MEET WILL BE • DEVOTED FOR THE PURPOSE OF PROBLEM PRESENTATION • THIS WILL BE FOLLOWED BY FORMATION OF WORKING GROUPS FOR DIFFERENT SET OF PROBLEMS • EACH WORKING GROUP WILL BE LED BY A RESOURCE PERSON

DAY 2 • WORKING GROUPS START WORKING ON THEIR RESPECTIVE PROBLEMS • EVOLVE A CORRECT MATHEMATICAL MODEL, SUITABLE MATHEMATICAL TECHNIQUE AND EFFICIENT ALGORITHMIC PROCEDURE

DAY 3 • WORKING GROUPS ARE EXPECTED TO COME UP • WITH THE CORRECT MATHEMATICAL MODEL FOR THE PROBLEM • EVOLVE SOME APPROXIMATE MATHEMATICAL PROCEDURE FOR SOLUTION STRATEGY • SOLUTION STRATEGY TO BE FORMALLY PRESENTED IN A MID-APPRAISAL SEMINAR

DAY 4 -5 -6 • ALL WORKING GROUPS STRIVE TOWARDS FULL AND COMPLETE SOLUTION OF THE PROBLEM ON DAY 4 -5 • ALL DAY FORMAL PRESENTATION OF THE APPROACH PAPER FOR SOLUTION OF THE RESPECTIVE PROBLEM ON DAY 6 • MANDATORY FOR ALL GROUPS TO SUBMIT A FULL REPORT ON THEIR RESPECTIVE PROBLEMS • WORKSHOP COORDINATORS PREPARE A FINAL REPORT BEFORE DEPARTURE

STUDY GROUP MEETING MARCH 2009 IN COLLABORATION WITH THE UNIVERSITY OF OXFORD, UK WILL MAINLY FOCUS ON PROBLEMS PERTAINING TO UTTARAKHAND • • • AGRICULTURE ECOLOGY & ENVIRONMENT FORESTRY WATER RESOURCES & POWER PETROLEUM RESOURCES THE PARTICIPATION WILL BE ON ALL-INDIA BASIS

WHAT ARE THE POSITIVE GAINS FOR PARTICIPANTS? • LEARN TO WORK AS TEAM MEMBERS – ESSENTIAL FOR A LARGE SIZE PROBLEM • GET FEEL FOR REAL LIFE PROBLEMS • GET TRAINING TO USE MATHEMATICAL AND STATISTICAL TECHNIQUES AWAY FROM CLASS ROOM ENVIRONMENT • DEVELOP ABILITY TO INTERPRET DATA, DEVISE SOLUTION STRATEGY AND PRESENT CONVINCING SOLUTION , AT TIMES EVEN HALF COOKED ONES TO USER COMMUNITY

NATIONAL ACTIVITIES PERSPECTIVE • PARTNERSHIP WITH INDUSTRY • REGIONAL RSOURCE COMMITTEE • NATIONAL COORDINATION COMMITTEE

PARTNERSHIP WITH INDUSTRY • FLOAT SHORT COURSES AND TRAINING WORKSHOPS FOR USER COMMUNITY MAKING THEM REALIZE THE APPLICABILITY POTENTIAL OF MATHEMATICS • EXTRACT THE INFORMATION FROM THEM ABOUT THE ISSUES WHICH REQUIRE ROBUST SOLUTION STRATEGY – BASED ON MATHEMATICAL TOOLS ( MAY OR MAY NOT BE VERY HIGHLY MATHEMATICAL) • GENERATE 6 -12 MONTHS PROJECTS FOR STUDENTS AS A PART OF COURSE REQUIREMENT OR PROGRAMME REQUIREMENT • AIM TOWARDS A BIGGER SIZE PROJECT REQUIRING INVOLVEMENT OF FACULTY WITH EXPERTISE IN DIFFERENT AREAS - ACROSS ALL DISCIPLINES

REGIONAL RESOURCE CENTRES ENVISAGED TO BE CELLS COMPRISING OF • SENIOR MATHEMATICIANS BASED IN PARTNERING ACADEMIC INSTITUTIONS • INDUSTRIAL SCIENTISTS FROM SATELLITE INDUSTRIES • IT MANAGERS (IN-HOUSE) – TO PROVIDE NETWORKING FACILTY FOR DATA FLOW AND INFORMATION FLOW ON A CONTINUOUS BASIS • RRC’S TO BE HOUSED IN THE PARTNERING INSTITUTIONS CAMPUS

PRINCIPAL TASK – RRC • GENERATE COLLABORATIVE PROJECTS WITH INDUSTRY- SHORT TERM, LONG TERM, SPONSORED, CONSULTANCY ETC. • DO LIAISON WORK AMONG PARTNERING INSTITUTIONS AND INDUSTRY FOR SHARING PROJECTS FOR ACADEMIC AND COMMERCIAL PURPOSE • FUNCTION AS INDEPENDENT ENTITY FOR PROVIDING LOW END AND HIGH END MATHEMATICAL INPUTS FOR PROJECTS

RRC SPIN-OFF • VALUABLE FEED-BACK ON CURRENT COURSES AND PROGRAMMES • CONTINUOUS SOURCE OF PROJECT GENERATOR FACULTY AND STUDENTS • EASY AVAILABILITY OF ADJUNCT FACULTY – INDUSTRY INPUTS, COURSE UPGRADING ETC. • MUTUAL SHARING OF RESOURCES – ACADEMIA AND INDUSTRY • KEY STIMULANT FOR PLACEMENT

NATIONAL COORDINATION COMMITTEE (NCC) • TO COMPRISE OF REPRESENTATIVE OF RRC’S, CII, FICCI, NBHM, AICTE AND UGC • WILL INTERACT ON REGULAR BASIS WITH USER COMMUNITY – DRDO, ISRO, TCS, INFOSYS, AND OTHER INDUSTRIAL HOUSES • FRAME POLICY MATTERS NOT PROGRAMMES • INTERACT WITH INTERNATIONAL BODIES LIKE SIAM, ECMI AND AMS TO PROVIDE GLOBAL PERSPECTIVE FOR PARTNERSHIP PROGRAMMES

THANKYOU