It seems like a variant of optimal stopping. First you have to decide when to make the first purchase. Then you have a new problem of when to make the next purchase.

Although it's more complicated than that because you also have to decide how much to buy, when you do buy.

It seems related to optimal stopping. First you have to decide when to make the first purchase. Then you have a new problem of when to make the next purchase.

Although it's more complicated than that because you also have to decide how much to buy, when you do buy.

It seems like a variant of optimal stopping. First you have to decide when to make the first purchase. Then you have a new problem of when to make the next purchase. So it's a sequence of optimal stopping problems.

It seems like a variant of optimal stopping. First you have to decide when to make the first purchase. Then you have a new problem of when to make the next purchase.

Although it's more complicated than that because you also have to decide how much to buy, when you do buy.