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IMPLEMENTING LINEAR
   PROGRAMMING
  IN A TEXTILE UNIT
                   - S.C. Bhatnagar




       Abhilash
       Alhad Juvekar
       Aravind Kulasekhar Vankayala
       Binny Sodhi
       Mohi Shukla
Overview:


• Textile industry

• India

• OR technique highlighted: Linear Programming
Need For the Study?
• Largest contributor in manufacturing sector
• Problems with manual planning
   – Constraints not properly defined
   – No optimal decision on quantity of output
     produced.
   – size/type of loom dictated more by past
     convention than on any economic basis.
   – Economics of some important options like buying
     of yarn cannot be evaluated.
Collection of data: MIS in predesigned forms which facilitated
task of punching
• Weights of different types of yam needed
• Number of machine shifts of pre-weaving centers required
  to produce the yam computed in (1)
• Meters of grey cloth produced per loom shift
• Number of machine hours required to process meters of
  grey cloth computed in (3) on processing centers (crude
  approximations, because setup times are fixed)
Simplifications:
• As number of looms is an integer, rounding off of the
  solution is done which doesn’t lead to a large error.
Defining Problem in OR terms
• Objective function: Maximize contribution per loom
• Decision variables: Number of loom shifts allocated to a
  fabric:1200 ( 50 x 4 x 6 )
   – 50 different styles
   – 4 different fabrics
   – 6 different loom types
• Constraints: 280 ( 50 + 200 + 30 )
   – 50 production centers
   – 200 marketing constraints
   – 30 buy/sell options
• LP size: 3,36,000 = ( 1200 x 280 )
software packages & computing technologies used:
FORTRAN IV to run on IBM/DEC machines.
IBM's MPS package.
COMPLAST
Management Information Systems (MIS)
Difficulties faced:
• Fixed costs have increased sharply
• Contribution per loom shift doesn’t cover the fixed
  costs.


Solutions:
• Spread fixed labor costs over a seven-day week
  provided the answer.
Conclusion

Benefits Received: Contribution/loom increased.

Undesirable Outcome: Fixed costs also increased.

Advice offered by researchers: The package should be
used continuously, if not every month, at least when
the season changes.
ANY QUERIES?


           -THANK YOU

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IMPLEMENTING LINEAR PROGRAMMING

  • 1. IMPLEMENTING LINEAR PROGRAMMING IN A TEXTILE UNIT - S.C. Bhatnagar Abhilash Alhad Juvekar Aravind Kulasekhar Vankayala Binny Sodhi Mohi Shukla
  • 2. Overview: • Textile industry • India • OR technique highlighted: Linear Programming
  • 3. Need For the Study? • Largest contributor in manufacturing sector • Problems with manual planning – Constraints not properly defined – No optimal decision on quantity of output produced. – size/type of loom dictated more by past convention than on any economic basis. – Economics of some important options like buying of yarn cannot be evaluated.
  • 4. Collection of data: MIS in predesigned forms which facilitated task of punching • Weights of different types of yam needed • Number of machine shifts of pre-weaving centers required to produce the yam computed in (1) • Meters of grey cloth produced per loom shift • Number of machine hours required to process meters of grey cloth computed in (3) on processing centers (crude approximations, because setup times are fixed) Simplifications: • As number of looms is an integer, rounding off of the solution is done which doesn’t lead to a large error.
  • 5. Defining Problem in OR terms • Objective function: Maximize contribution per loom • Decision variables: Number of loom shifts allocated to a fabric:1200 ( 50 x 4 x 6 ) – 50 different styles – 4 different fabrics – 6 different loom types • Constraints: 280 ( 50 + 200 + 30 ) – 50 production centers – 200 marketing constraints – 30 buy/sell options • LP size: 3,36,000 = ( 1200 x 280 )
  • 6. software packages & computing technologies used: FORTRAN IV to run on IBM/DEC machines. IBM's MPS package. COMPLAST Management Information Systems (MIS)
  • 7. Difficulties faced: • Fixed costs have increased sharply • Contribution per loom shift doesn’t cover the fixed costs. Solutions: • Spread fixed labor costs over a seven-day week provided the answer.
  • 8. Conclusion Benefits Received: Contribution/loom increased. Undesirable Outcome: Fixed costs also increased. Advice offered by researchers: The package should be used continuously, if not every month, at least when the season changes.
  • 9. ANY QUERIES? -THANK YOU