When a dog jumps on a human of its own free will, it is not "greeting" the human, it is asserting its dominance over the human; it is the dog communicating that it is alpha and/or wishes to own/control the human. A subordinate would never dream of running over and jumping on the alpha dog of the pack. Space is respect and lower members of the pack respect the higher members. If your dog jumps on humans, it does not respect them. Note: when a young puppy jumps on humans it is sometimes its attempt to reach one's face. Puppies need to be taught not to jump up on humans as this behavior will manifest into other meanings as the puppy grows up into an adult dog.
If you have ever seen two dogs when they meet, they greet each other face to face, unless there is a massive size disparity. So, why are we surprised when that is how a dog wants to greet us? You come home from work and let your dog out, and they are excited to see you and excited to show you how much they have missed you. So they jump up on you to get closer and give you some love.
Dogs like and need consistency, so if you are not allowing your dog to jump on you, everyone in the family and everyone who greets the dog must do the same. You, as an owner, must make sure this happens. It will only confuse a dog if you allow them to jump on some people who say they do not mind, and tell him not to jump on others. Once you decide you do not wish your dog to jump on people you must apply this to everyone at all times unless you give the dog a command to jump. A dog should never jump on a human of its own free will.
With a tie-down, you simply attach your dragline to a fixed object like a fence, stair rail or another immovable object like an eye-bolt in the wall. This exercise uses the same principles as teaching the “wait” command, only instead of closing a door or gate, the pup is confined by the leash. That keeps you safe from mouthing and claws and prevents the pup from jumping up and grabbing. Practice puppy sits and downs while you stay out of range. Only reward the puppy with contact from you when he stays calm with all four feet on the floor.
Why do dogs jump up? A plausible explanation arises from their ways of communicating with each other. A puppy greeting an adult dog often licks the adult’s muzzle -- a polite, deferential behavior. Dogs, of course, descend from wolves, among whom muzzle-licking is how pups get the grownups to regurgitate food for them. Domestic dogs rarely nourish puppies this way, but muzzle-licking has survived, maybe because deferential behaviors are handy for a social animal. Think of humans saying “No, after you.” Muzzle-licking is also an appeasement behavior -- something you trot out to de-escalate a fight. A human might lift up his hands, palms toward the person he’s arguing with.