An arrangement and a method for locating pieces of luggage gone astray in a commercial air flight shipment, comprising a plurality of mobile units (11) for associating to a piece of luggage to be located if gone astray, and a set of locating units on the ground (21, 22, 23, 31, 32, 33, 34, 35), wherein each of the mobile units (11) comprise: a movement detection module (15, 16) capable of detecting a state of stillness or movement of the lost piece of luggage and capable of blocking the communications of said at least one mobile units (11) from and towards said set of locating units on the ground (21, 22, 23, 31, 32, 33, 34, 35), depending on the state of stillness or movement of the lost piece of luggage.