How do you calculate pure Aloha?

The pure Aloha part was easy.

I looked at the Aloha card, and in the back it said that there is no one. There was no cost to me, I got what I was already paying. On an exchange, you would be the customer and the market maker or market maker's algorithm has already determined that you won the trade.

How did the trader make money? He sold an inbound swap into the existing contract. If he went for a long swap (already agreed not-in), his price would be higher than a short one. His mark-to-market gain would then be the size of his mark-to-market loss times the risk free rate. I looked into how much he can lose by buying the inbound swap. You multiply the price that the market maker wants to pay by a certain spread factor so that the trader does not go into a large loss when he buys the swap for the long leg of the butterfly from the market maker. Then add a second margin factor because one of his spreads might have an added risk factor.

How about the spread factor?15, and a margin risk factor of 0.10. That gives a margin to market multiplier of 1.2x and a margin to market factor of 2. The spread is 0.25 so that's a spread risk multiplier of 0.33. The spread is 1 so it's a margin risk multiplier of 0.40.50x x 1 = 4.11 margin to market factor.

33 x 200 means that he will be able to take 100 contracts off, or roughly 200k to 400k futures contracts. ? So how can you calculate the Aloha factor? Well it should be relatively easy. The aloha factor is the number of contracts you are trading for your own account. However, that would not apply because I do not use an active broker.

How much cash do you trade?

What is the efficiency of Aloha vs Slotted Aloha?

When the number of available slots is smaller than the number of users, eg in an Aloha access mode, the efficiency of Aloha vs Slotted Aloha is very different: The efficiency of Aloha is very high, meaning the average completion time of all access is shorter when compared to the efficiency of the slotted Aloha mechanism, ie you achieve the average throughput with a shorter completion time.

However, this is not the case for many wireless access technologies, where the efficiency of the Slotted Aloha is better than the average completion time of Aloha (see Figure 1). Figure 1. Efficiency of Aloha vs Slotted Aloha The difference in the efficiency of Aloha vs Slotted Aloha is explained as follows: If you have two transmitters, T1 and T2, with bandwidths of W1 and W2 (slots), respectively, and you want to use the first slot to carry packets to all receivers, then you will have 4 transmissions to complete this. Using Aloha, this will take MW1 slots, with M being the number of accesses. Thus, if you want to provide 100% (M100%) utilization, then you need 25% of the total transmission power for each packet.

Using Slotted Aloha, the duration for each transmission is W2/M C in cycles per slot, where C is the number of users who are competing for a specific slot. If you have M=2 in each transmitter, this results in 5C W2 seconds. Thus, to provide 100% utilization for each transmitter (with 100% power) means that you only need to use the second slot instead of the first (as shown in Figure 2).

Figure 2. Efficiency vs power of Slotting Aloha vs Aloha With more transmitters, the difference between Aloha and Slotted Aloha becomes even larger. The figure below shows the efficiency vs the number of transmitters used.

Figure 3. Efficiency vs number of transmitters In terms of the total efficiency, you can see that there is a difference between the efficiency of using multiple transmitters when compared to using a single transmitter, but the difference is negligible. For the purpose of the analysis, a single transmitter was considered as the basic unit.

What is the efficiency of the pure Aloha formula?

That's a question I get asked a lot.

And the answer is, It depends.

The problem is that it depends on a lot of different things. Let me explain.

First off, the efficiency is not going to be as good as it could be if you had every single person on the planet in the same place at the same time and giving them each a chance to get in on the act. That's just not practical. When you have all these people in one location, you're going to end up with too many people. The problem is that you've got all these folks crowded in the same place that is very inefficient because everyone's looking for their place in line and trying to see what their turn is.

We're not going to have this on the new Aloha. As we speak now, you know that I'm going to be in my office right here in New York, and you'll know that I'm going to be in my office, and the rest of the world is going to know where I am.

So if you're sitting here reading this, your Aloha is going to be one of three things. You're either going to have a very close call with me and the others in New York, or you're going to have a relatively close call with somebody from San Francisco. Or you might not have a close call at all.

So the most efficient case is the one where you all are pretty close together in one spot and you don't see me or the other people in the other offices. So the problem is that you have all these folks crowding into one spot and they're not able to see each other. And if they're going to be standing out in the cold with wet weather, there's going to be a lot of inefficiency there, too. That's the first thing. Now, the second thing to look at is, Is it going to be a good formula? Is it going to work well? And that comes down to how the Aloha works. When I sit back and analyze Aloha, it's a pretty elegant solution. It's not that complicated.