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Integer Programming

Integer Programming. Group Members Jayamalee M.W.A.N 061024 M Somarathna K.U.S. 061050 M Sooriyaarachchi S.L. 061052 V Thilakarathna M.D.G.L 061056 L. Introduction. Integer programming A sub category of Linear Programming

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Integer Programming

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  1. Integer Programming Group Members Jayamalee M.W.A.N 061024 M Somarathna K.U.S. 061050 M Sooriyaarachchi S.L. 061052 V Thilakarathna M.D.G.L 061056 L

  2. Introduction Integer programming • A sub category of Linear Programming • Some or all the variables are restricted to integers • Practical importance • Examples: • number of units • number of m/c s • number of operators

  3. Types of Integer Programming • Pure Integer Programming • Mixed Integer Programming • Binary Integer Programming

  4. Applications of Pure Integer Programming • Issuing fabrics to cutting department • Number of units to be produced • Vehicle scheduling to transport operators in the garment factory • Selecting cargo to be transported in a ship in order to maximize profit • Number of photo copy machines in a photo copy center.

  5. Pure Integer Programming Ctd… • Machine scheduling • Number of advertising campaigns to be launched • Number of fire brigade units to be located in a region • Number of boats to be purchased by a boat service • Investment decision under capital rationing (indivisible investments)

  6. Applications of Mixed Integer Programming • Optimal utilization of resources to meet the demand of the knitted fabrics • Travelling salesman’s problem • Planning resources in a farm house • Completing a job within a specific time period

  7. Applications of Binary Integer Programming • Investment decision • Decision to build a new factory / warehouse • Accepting a customer order • Accepting or rejecting a garment based on AQL • Decision to go forward with a special degree

  8. THANK YOU!

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