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README.md

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@@ -4,56 +4,56 @@ Simplex Method Implementation in Java
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Suppose, we have:
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Maximize Z = 40x1 + 30x2 <br />
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Subject to: <br />
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x1 + x2 ≤ 12
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2x1 + x2 ≤ 16
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x1≥0; x2≥0
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x1 + x2 ≤ 12 <br />
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2x1 + x2 ≤ 16 <br />
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x1≥0; x2≥0 <br />
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Then, After running the simplex_method.java file, Enter values in console as:
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Choose Problem Type:
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1) Maximization Problem
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2) Minimization Problem
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Enter chosen type: 1
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Enter No. of variables: 2
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Enter No. of constraints: 2
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Enter coefficients of Objective Function:
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Enter the value of x1: 40
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Enter the value of x2: 30
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Enter LHS coefficients of constraints(1) :
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Enter the value of x1: 1
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Enter the value of x2: 1
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Choose Inequality option:
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1) ≤
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2) ≥
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3) =
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Enter chosen option: 1
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Enter RHS coefficient of constraints(1) : 12
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Enter LHS coefficients of constraints(2) :
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Enter the value of x1: 2
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Enter the value of x2: 1
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Choose Inequality option:
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1) ≤
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2) ≥
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3) =
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Enter chosen option: 1
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Enter RHS coefficient of constraints(2) : 16
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************ Iteration - 1 ************
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Incoming Variable is: x1
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Outgoing Variable is: s2
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************ Iteration - 2 ************
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Incoming Variable is: x2
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Outgoing Variable is: s1
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Final table: [[1.0, 0.0, 0.0, 20.0, 10.0, 400.0], [0.0, 0.0, 1.0, 2.0, -1.0, 8.0], [0.0, 1.0, 0.0, -1.0, 1.0, 4.0]]
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*************** Optimal Solution: *********************
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The value of x1 is: 4.0
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The value of x2 is: 8.0
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The value of s1 is: 0
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The value of s2 is: 0
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The value of Z_max is: 400.0
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Process finished with exit code 0
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If you want to solve this problem then, simply run the simplex_method.java code and enter values in console as: <br />
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Choose Problem Type: <br />
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1) Maximization Problem <br />
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2) Minimization Problem <br />
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Enter chosen type: 1 <br />
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Enter No. of variables: 2 <br />
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Enter No. of constraints: 2 <br />
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Enter coefficients of Objective Function: <br />
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Enter the value of x1: 40 <br />
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Enter the value of x2: 30 <br />
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Enter LHS coefficients of constraints(1) : <br />
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Enter the value of x1: 1 <br />
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Enter the value of x2: 1 <br />
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Choose Inequality option: <br />
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1) ≤ <br />
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2) ≥ <br />
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3) = <br />
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Enter chosen option: 1 <br />
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Enter RHS coefficient of constraints(1) : 12 <br />
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Enter LHS coefficients of constraints(2) : <br />
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Enter the value of x1: 2 <br />
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Enter the value of x2: 1 <br />
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Choose Inequality option: <br />
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1) ≤ <br />
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2) ≥ <br />
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3) = <br />
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Enter chosen option: 1 <br />
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Enter RHS coefficient of constraints(2) : 16 <br />
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************ Iteration - 1 ************ <br />
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Incoming Variable is: x1 <br />
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Outgoing Variable is: s2 <br />
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************ Iteration - 2 ************ <br />
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Incoming Variable is: x2 <br />
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Outgoing Variable is: s1 <br />
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Final table: [[1.0, 0.0, 0.0, 20.0, 10.0, 400.0], [0.0, 0.0, 1.0, 2.0, -1.0, 8.0], [0.0, 1.0, 0.0, -1.0, 1.0, 4.0]] <br />
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*************** Optimal Solution: ********************* <br />
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The value of x1 is: 4.0 <br />
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The value of x2 is: 8.0 <br />
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The value of s1 is: 0 <br />
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The value of s2 is: 0 <br />
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The value of Z_max is: 400.0 <br />
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Process finished with exit code 0 <br />

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