Many parliaments have problems forming a government. A graph of seven Western countries (because the West preaches inclusive governance to conflict zones) - Austria, Belgium, Finland, Germany, Ireland, Netherlands and Spain, and the length of time it took for them to form an exclusive administration - is attached, and so is a key giving the exact number of days involved.
Full details of the matrix vote can be found on http://www.deborda.org/faq/voting-systems/what-is-the-matrix-vote.html?SSScrollPosition=221
If those concerned are in (local or national) government and if, therefore, proportionality is important, then the QBS matrix vote should be used. This means the first count is conducted according to the rules of QBS, so to identify the chosen members of cabinet. The second count - the appointment of these individuals to particular posts - is under the rules of an MBC.
In those organisations where proportionality is not an overriding consideration - as in non-party parliaments such as in Nauru and Nunavut, or in busness and the community - both counts can be conducted according to the rules of an MBC.