"shipped back and forth" is a correct and usable phrase in written English.
It is typically used in situations where an item or product is repeatedly sent to and from different locations. Example: The package was shipped back and forth between the two warehouses before finally reaching its destination.
It's based on the principle that every item will be in stock all of the time, and will be shipped back and forth across the country, or the globe, from grower to packager to warehouse to store.
Stories abound of people being shipped back and forth from the hospital to temporary care to their homes and back to the hospital again when it all goes wrong.
When Robin Miller returned to work after her pregnancy in 1995, after having been away for a few years, she was assigned to the Brooklyn court pens, where inmates would be shipped back and forth from their trials and cells.
"He's the only horse I've ever had that has given me just six great performances right in a row and he's shipping back and forth," he said.
The reusability of ships back and forth between Mars, is another key cost reduction ingredient, and that requires building a propellant plant on Mars, Musk said.
Today rare captive animals are shipped back & forth between even the most widely separated zoos in the hope that the rarities will produce offspring.
In addition, there is not a clear online substitute to trying on clothes other than buying them and shipping them back and forth (e.g. Bonobos, Warby Parker and Zappos).
The new Photoshop Sketch (based on Adobe Sketch) app allows for drawing directly on mobile devices using special new built-in brushes, and can ship content back and forth between Photoshop CC and Illustrator CC.
Virtually the entire output from Mozambique's existing Cahora Bassa Dam is shipped to its wealthy neighbor, South Africa; a small amount is shipped back to Mozambique at a higher cost, with much waste through the shipping of those electrons back and forth across inefficient transmission systems.
The characters on the ship scurry back and forth as the ship itself rocks dangerously.
When Zach mentioned George Vancouver, I imagined a giant ship heaving back and forth in crashing waves.
