symphony Solves a mixed integer linear programming constrained optimization problem. xopt = symphony(nbVar,nbCon,objCoef,isInt,LB,UB,conMatrix,conLB,conUB) xopt = symphony(nbVar,nbCon,objCoef,isInt,LB,UB,conMatrix,conLB,conUB,objSense) xopt = symphony(nbVar,nbCon,objCoef,isInt,LB,UB,conMatrix,conLB,conUB,objSense,options) [xopt,fopt,iter] = symphony( ... ) nbVar : a 1 x 1 matrix of doubles, number of variables nbCon : a 1 x 1 matrix of doubles, number of constraints objCoeff : a 1 x n matrix of doubles, where n is number of variables, contains coefficients of the variables in the objective isInt : a 1 x n matrix of boolean, where n is number of variables, representing wether a variable is constrained to be an integer LB : a 1 x n matrix of doubles, where n is number of variables, contains lower bounds of the variables. Bound can be negative infinity UB : a 1 x n matrix of doubles, where n is number of variables, contains upper bounds of the variables. Bound can be infinity conMatrix : a m x n matrix of doubles, where n is number of variables and m is number of constraints, contains matrix representing the constraint matrix conLB : a m x 1 matrix of doubles, where m is number of constraints, contains lower bounds of the constraints. conUB : a m x 1 matrix of doubles, where m is number of constraints, contains upper bounds of the constraints objSense : The sense (maximization/minimization) of the objective. Use 1(sym_minimize ) or -1 (sym_maximize) here options : a 1xq marix of string, provided to set the paramters in symphony xopt : a 1xn matrix of doubles, the computed solution of the optimization problem fopt : a 1x1 matrix of doubles, the function value at x iter : a 1x1 matrix of doubles, contains the number od iterations done by symphony Search the minimum or maximum of a constrained mixed integer linear programming optimization problem specified by : find the minimum or maximum of f(x) such that \begin{eqnarray} &\mbox{min}_{x} & f(x) \\ & \text{subject to} & conLB \geq C(x) \leq conUB \\ & & lb \geq x \leq ub \\ \end{eqnarray} Keyur Joshi, Saikiran, Iswarya, Harpreet Singh