MATLAB: Discrete variable in optimization

discrete variable

Dear sirs, I have a variable x whose min. and max value are 0.900 and 1.00. I have randomly generated its value between its min and max limits. suppose the ans=0.984. I want that the ans should be discrete in the step of 0.025 ie. only five ans. are feasible. They are 0.900, 0.925, 0.950, 0.975 and 1.000. so i want to know matlab command/program/equation using which i can convert the ans(=0.984) into nearest discrete value(i.e.0.975). Thanks in advance

Best Answer

floor((x - 0.900)/0.025) * 0.025 + 0.900

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MATLAB: How to use a decision variable from optimization problem into an if else statement

The if-constraints (logical constraints, implication constraints) can be modeled with linear constraints and binary variables.

To see how to do this, suppose you have a binary variable y that should be 1 when x > 0. The constraint x - M*y <= 0, where M is an upper bound on x, will enforce this. When x > 0, y must be 1; the only other possible value for y is 0 and if y were 0, the constraint reduces to x <= 0, a contradiction.

To formulate constraint (6), make two constraints

(Tmin - Tins) - M1*(1-BCac) <= 0 where M1 is an upper bound on (Tmin - Tins)
(Tins - Tmax) - M2*BCac <= 0 where M2 is an upper bound on (Tins - Tmax)

The resulting constraints are called big-M constraints or indicator constraints. The y variable is called an indicator variable.

MATLAB: How to perform a channel with probability

% simulate a sequence r
r   = [ones(100, 1); zeros(100, 1)];
ind = randperm(length(r));
r   = r(ind);
% randsrc generate a vector of 0 or 1 with probability 0.975 and 0.025, you
% sum up two randsrc results based on r is 0 or 1, if r == 1, switch the
% parameter of randsrc so that it generates 1 with prob 0.975
res = (r == 0) .* randsrc(length(r), 1, [0 1; 0.975 0.025]) + ...
    (r == 1) .* randsrc(length(r), 1, [1 0; 0.975 0.025]);

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MATLAB: How to use a decision variable from optimization problem into an if else statement

MATLAB: How to perform a channel with probability

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