[Ant590]

Scoring: XIMP

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2♥ opened on your right.

1) I think this might have been discussed before on BBO, but order the following actions in terms of strength
a] Double then bid spades
B] Jump in spades
c] Double then jump in spades

2) Which do you choose with the hand given?

[hanp]

They show different hand types, not necessarily different strengths. The meaning of double then bid spades also depends on what partner bids. Let me assume that after the double partner bids 2NT lebensohl. I think the following are "standard":

Double then bid spades shows a strong but not gameforcing hand with 5+ spades. A typical hand to keep in mind could be AQJxxx x AQx KJ10. This is not a hand that is all about spades, and would be happy if partner passed 2HX.

A jump to 3S shows perhaps less highcard strength, but it shows a very good suit (often 7) and good playing strength. The kind of hand that makes game if partner is weak with just the right card or two. I think the hand you gave is a good example. It is really a single suiter (even though playing in diamonds can be right). It is too good for 2S yet if partner has a yarborough then you won't make game.

Double and jump to 4S is a similar kind of hand as the first but stronger. This is uncommon, but I would certainly bid AQJ10xx A AQx KQJ this way. A direct jump to 4S would be a hand that makes 4S opposite almost nothing, or even nothing and favorable splits.

[Cascade]

In reverse order

2. I bid 3♠ showing a strong jump shift around 16-18

1. a/ Double and bid spades shows around (16)17-19 with 5 good spades or six bad ones

b/ Jump in spades around 16-18 with six good spades

c/ Double and jump in spades shows more than a jump in spades and should be six

We also have a jump to 4♠ directly which would show similar hands to 3♠ but with more playing strength - a seventh spade

With a stronger hand than a/ I would double then cue-bid and then if necessary mention my spades showing a more flexible hand.

[peachy]

I choose 3S upon which partner will cue if he has one.

A simple overcall shows a good hand and five (or more) cards. Jump overcall shows a better hand and very good six cards. The given hand is almost too good for that but there is greater risk at not describing this hand immediately.
In terms of order of various strengths for various Db/Overcall/Jump actions, it is not a matter of general strength, it is a matter of various types of hands.