Monday, April 9, 2007

Nash Equilibrium for restaurant management

I'm trying to work out the Nash equilibrium for the restaurant, and all restaurants, for that matter. But I'm not a mathematician; the highest math class I took was Calc II, and I don't remember much. I just know there must be a win-win-win-win situation, a Nash equilibrium, that allows the guests, managers, servers, and cooks to be happy.

It's like a dot-to-dot puzzle. I don't know the algorithm for connecting the dots, but I can tell the image is that of, say, a bunny. I don't know in real-life terms what needs to be done to reach a Nash equilibrium since I don't have enough formal education in game theory, but I have seen A Beautiful Mind several times. I'm tired and Wikipedia is looking like a bunch of dots to me right now, but I can see the image roughly forming in my mind's eye. It's slowly taking shape. Much like how John Nash sees formulas starting to form.

We need to seat fewer guests at a time. There is some magic number, some number relative to how many servers, cooks, open tables, and maybe some other variable that I can't see right now which determines how many guests we should seat at a time. Basically what I am saying is, we shouldn't seat everyone at once. We shouldn't go from being empty to being full during dinner, because it puts stress on everyone: managers, servers, and cooks, therefore making the guest suffer. There are only so many guests we can accommodate at a time before we max out our resources and ticket times skyrocket and people start to complain.

I'm sure a formula exists, and I wouldn't be surprised if the corporation knows it and puts it in their management training manuals. But it isn't being used, as far as I can see. Tomorrow I'll ask Petra how restaurant management works. I'll work on my Nash equilibrium. I'll post tickets on my wall and connect bits of yarn and string and find my own version of Nash's equilibrium. Then I will be able to explain to everyone working here what needs to be changed. Because, I'm learning, if I don't do it, nobody will.

I'm just one man trying to change what I can to make everyone happy. I like John Nash. I'm trying to find my original idea, no matter how long it takes me. I'm a writer, not a mathematician. It could be a while...I'll keep you posted.

Peace.