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David Oliver's persuasive argument that the problems afflicting the NHS are in large part identical to the problems affecting prisons, is of course correct. I myself have sometimes resorted to using military scenarios when analysing certain healthcare problems (the paucity of information and the complexity of communication which complicate decision-making in battlefield situations, also occur when decision-making is analysed in 'healthcare'), and in general it is often possible to describe both problems and possible solutions with a degree of generality which makes an analysis applicable to many different issues (NHS, prisons, etc). I feel sure that mathematicians will have proven this to be true.
However correct your analysis, the problem of 'These issues have been highlighted repeatedly but are played down and ducked by the government' tends to remain. I'm not so sure, that the mathematicians will have covered that one.