Reply to Sire Enaique
OK, I'll stand by what I've written with the (important) correction that troop and equipment quality differences must be included in the ratio computation.
I maintain that between roughly equivalent armies, 3:1 at the operational level is pretty much a sure win.
In the specific case of operation Supercharge, my WAG is that generally better British equipment counterbalances superior German combat effectiveness, so it's still roughly 3:1.
I still have to disagree. Even if we stray from your original point: that a 3:1
numerical advantage on the operational scale ensures victory, and allow qualitative factors to be part of the equation, I will still maintain, that the history of war has sufficient counter-examples to falsify your hypothesis. A case in point could be Alexander the Greats battles against the Persians. Technology was roughly the same, and though present day Greeks might like to believe in some Macedonian superman myth, the men were pretty much the same. What made the difference was tactics and leadership in the face of overwhelming enemy numbers.
Not average, a bit below average.
And I wouldn't call his predecessors better men, though in all fairness they never enjoyed the kind of numerical, qualitative and logistical superiority Monty had at 2nd Alamein.
We also now know that the British 2-pounder AT gun couldn't penetrate German armor at normal combat ranges (see
http://www.wargamer.org/GvA/background/ammotypes4.html . Most of Monty's tanks didn't suffer from this problem. It always helps).
You mean just like the standard issue German 37mm AT gun couldn’t penetrate most British tanks, and the British Mathilda proved quite unstoppable in the early days of the desert war?
I am not saying that technology and numbers did not give Montgomery better odds. I am just saying that he used those odds wisely, by forcing the Germans to fight exactly the kind of battle, they could not afford to fight: the battle of attrition. As I have said repeatedly: in my book a good general is one, who makes the most of his strengths, while denying the enemy use of their strength. Montgomery did just that.
Even if it was not a rout, any army that suffers that kind of losses and has to retreat in precarious conditions so far from its bases loses cohesion.
But didn’t you say, that Panzerarmee Afrika was in greater disarray than during previous delays? It’s the "greater" I am interested in here.
No need to gamble? tell that to the tommies who died assaulting the Mareth line!
Monty had knowledge about Rommel through Ultra. Specifically, he was advised on 16 and 17 November that the DAK was stranded in Benghazi awaiting the delivery of fuel.
He did issue orders for X Corps to cross Cyrenaica on 18 November, but having made absolutely no preparations for this eventuality, X Corps wasn't able to react fast enough (several days delay were necessary) so the order was never executed: sub-par staff work.
Even more Tommies could have died if X Corps had been cut off, surrounded and annihilated in the sort of mobile battle Rommel excelled in and the Brits did not.
The sub-par staff work of X Corps is precisely the reason, why it was wise of Montgomery to avoid fluid battle situations. Neither the units, the formations or the staffs were up to that sort of battle, so the set-piece battle was the best option. Allowing for the nature, capabilities and limitations of ones army is – as I have said with other words before – the hallmark of a good general.
The precedent was precisely O'Connor trapping the Italians at Beda Fomm in 1941.
You know very well that there was a tremendous difference between the Italians at Beda Fomm and the later Panzerarmee Afrika. The slow-moving, badly led, badly equipped and immoralised Italian infantry was no match for anyone.
Montgommery had enough forces at his disposal to earmark some for such an operation. And it was much less of a gamble than what O'Connor did: the British in late 1942 had much more reliable and better tanks than in early 1941, and a lot more transport assets, so the supply situation of the blocking force wouldn't have been as precarious.
And he could afford the loss of said blocking force, whereas O'Connor couldn't.
Ok, let’s repeat each other

Montgomery had no reason to gamble. He was winning so there was absolutely no reason to risk any loss – even if he could afford it.
Regards,
EoE