I have researched this topic exhausively, because I am contemplating commercial propagation of Lysmata, et al.
To date, the Waikiki Aquarium and Tropical Marine Center have published success with Lysmata amboinensis, wurdemanni, and supposedly debelius.
The main reason "hobbyists" have trouble is water quality and feeding regimin and food quality.
After release from the parent (a protandrous hermaphrodite) the larva goes through the zoea phase in a day or two, then it enters a series (about 9) instars before final metamorphosis and settling.
Each molt is a perilous event in and of itself. If any peripheral metric is out of whack (water quality, poor nutrition, wrong lighting, depleted trace elements, etc...) then successful execution of the molt series taking the larva to semi-adulthood is nearly impossible. BTW, very few of us have systems adequate to the level needed to remove the detrimental peripheral parameters.
Add to this treacherous path, the fact that the final metamorphic molt is triggered by some heretofore unknown chemical cueing, and you have the recipe for frustration.
It can be, and has been done. There are so many variables, that those who do succeed really owe part of their success to luck.
Here are the BIG variables:
1. Water quality
2. Nutrition (not only for larva, but adult pre-spawn)
3. Lighting
4. Temperature, pH, Alk, Iodine, Ca,...
5. Shape of grow-out vessel
6. Aeration
7. Handling
Give it a try if you have no job, can be awake 24hrs a day, and can provide 100% flow through clean water on a continual basis