Is there a "queue" in MATLAB?

1. Is a recursive solution really so bad? (always examine your design first).
2. File Exchange is your friend. (steal with pride!)
3. Why bother with the trouble of a proper Queue or a class - fake it a bit. Keep it simple:

q = {};
head = 1;
q{head} = param;
result = 0;
while (head<=numel(q))

    %process param{head} and obtain new param(s)
    head = head + 1;
    %change result
    q{end+1} = param1;
    q{end+1} = param2;
end %loop over q
return result;
 

If the performance suffers from adding at the end too much - add in chunks:

chunkSize = 100;
chunk = cell(1, chunkSize);
q = chunk;
head = 1;
nextLoc = 2;
q{head} = param;
result = 0;
while (head<endLoc)        
    %process param{head} and obtain new param(s)
    head = head + 1;
    %change result
    if nextLoc > numel(q);
        q = [q chunk];
    end
    q{nextLoc} = param1;
    nextLoc = nextLoc + 1;
    q{end+1} = param2;
    nextLoc = nextLoc + 1;
end %loop over q
 return result;

A class is certainly more elegant and reusable - but fit the tool to the task.

Ok, here's a quick-and-dirty, barely tested implementation using a MATLAB handle class. If you're only storing scalar numeric values, you could use a double array for "elements" rather than a cell array. No idea about performance.

classdef Queue < handle
    properties ( Access = private )
        elements
        nextInsert
        nextRemove
    end

    properties ( Dependent = true )
        NumElements
    end

    methods
        function obj = Queue
            obj.elements = cell(1, 10);
            obj.nextInsert = 1;
            obj.nextRemove = 1;
        end
        function add( obj, el )
            if obj.nextInsert == length( obj.elements )
                obj.elements = [ obj.elements, cell( 1, length( obj.elements ) ) ];
            end
            obj.elements{obj.nextInsert} = el;
            obj.nextInsert = obj.nextInsert + 1;
        end
        function el = remove( obj )
            if obj.isEmpty()
                error( 'Queue is empty' );
            end
            el = obj.elements{ obj.nextRemove };
            obj.elements{ obj.nextRemove } = [];
            obj.nextRemove = obj.nextRemove + 1;
            % Trim "elements"
            if obj.nextRemove > ( length( obj.elements ) / 2 )
                ntrim = fix( length( obj.elements ) / 2 );
                obj.elements = obj.elements( (ntrim+1):end );
                obj.nextInsert = obj.nextInsert - ntrim;
                obj.nextRemove = obj.nextRemove - ntrim;
            end
        end
        function tf = isEmpty( obj )
            tf = ( obj.nextRemove >= obj.nextInsert );
        end
        function n = get.NumElements( obj )
            n = obj.nextInsert - obj.nextRemove;
        end
    end
end

If you insist on using proper data structures, you can use Java from inside MATLAB:

import java.util.LinkedList
q = LinkedList();
q.add('item1');
q.add(2);
q.add([3 3 3]);
item = q.remove();
q.add('item4');