How to select the fastest queue in a fast food restaurant or supermarket?
Let’s take a typical McDonald’s branch. Suppose there are 5 counters. One obvious option is to pick randomly, in which case you have 20% chance of being lucky to be in the fastest line. Can we increase this probability?
Professor Eugene Fama, contender for the Nobel Prize in Economics, will say you cannot beat 20%. That’s because according to the efficient-market hypothesis, all customers are perfectly informed about the quickest line. Perfect information eliminates the quickest line. If every customer knows which line is quickest, then any “get-food-quick” scheme is impossible and all the queues will move as they are supposed to move. (If it’s obvious that the shortest line is the quickest, then the other customers will immediately select it, after which it is no longer the fastest.)
Another option is available when you have brought friends, in which case you can apply the modern portfolio theory, which was pioneered by H.M. Markowitz, a 1990 Nobel Laureate. Scatter (or rather, diversify) yourselves into different queues and you can increase the probability of selecting the quickest. If there are two of you, then your chance of success is doubled to 40%. Nice tactic, but there’s a limit to this.
Supposing you have brought 4 friends so that there are 5 of you. Theoretically, you can apply Markowitz diversification by utilizing all 5, but a cost-benefit analysis will eventually cut your resources to less than that number. Consider this: we already know that the more you increase the friends to fall in line, the sooner the whole group can eat their meal. In effect, you are buying the opportunity to eat as soon as possible or ‘ASAP meal’ like a normal commodity in exchange for a certain number of friends. The only problem is that the ‘ASAP meal’ can be substituted by talking around the table while waiting for the other friends delegated to order the food. Talking is a substitute good for the ‘ASAP meal’, and it is purchased when the ‘ASAP meal’ is too expensive (requires all 5 friends). My hypothesis is that 3 is the maximum number of friends (including you) that a customer can diversify to fall in line, because at least 2 friends are required to purchase talking. Hence, 60% is the maximum probability of success. I say with perfect confidence that this occurs unfailingly in the real world.
Supposing you walked into McDonald’s alone, you cannot use modern portfolio theory (assuming of course that you do not block two adjacent lines, which I do in practice). Your other option is to perform a fundamental analysis. This requires a lot of data, but as a rule-of-thumb, examine the order-takers and avoid the trainees. If you want more sophistication and accuracy, study statistical reports on what type of customers order the most in McDonald’s at what specific time of the day, then it’ll be easy to guess which lines can bring you the ASAP meal.
The behavioral economics school, led most famously by 2002 Nobel Laureate Daniel Kahneman, argues against Fama’s efficient-markets hypothesis, but they both agree that you simply can’t beat the market. So too bad, Kahneman would say, you will never beat the queue in McDonald’s because of too much irrationality and chaos.
Minotauromachia 