Abstract: A method for the real-time estimation of the total consumption of a fluid, in particular water or gas, distributed from a unit (A) to users (b1, b2 . . . ) via a network of supply pipes (E) with a branch (d1, d2 . . . ), for each user, fitted with a counter (c1, c2 . . . ) of the fluid consumed by the user, which method involves defining cohorts of users having homogeneous behavior with regard to the consumption of fluid; defining, for at least one of these cohorts, a sample of users from the cohort that is statistically sufficient to represent the cohort; fitting only the branches of the users of each sample with a remote reading device (t1, t2, . . . ) for reading the consumption; also fitting remote reading devices to the branches of the users of the other cohorts that have not been sampled; and processing the information provided by the remote reading devices to obtain a real-time value representative of the total consumption of the network.

Abstract: The invention relates to a method for maintaining equipment likely to go through at least a degraded state before failing, this equipment being provided with a data sensor, linked to a recorder, which is in turn associated with a processing unit, which comprises the following steps of: detection of states of the equipment from the recorded data, and by means of a hidden Markov model, determination of an optimal maintenance date as a function of a state of the equipment, of a predetermined aggregate usage time of the equipment, by using an optimal stop on PDMP, which comprises: a substep of calculation of a quantization grid made up of cells with, for each cell, the transition date, the state of the equipment on that transition date, the time spent in the preceding state, the probability of being in said state on said date, a substep of calculation of a discretized grid of remaining usage time for each cell of the quantization grid, a substep of calculation of the maintenance date starting from a state of the

Abstract: A method for the real-time estimation of the total consumption of a fluid, in particular water or gas, distributed from a unit (A) to users (b1, b2 . . . ) via a network of supply pipes (E) with a branch (d1, d2 . . . ), for each user, fitted with a counter (c1, c2 . . . ) of the fluid consumed by the user, which method involves defining cohorts of users having homogeneous behaviour with regard to the consumption of fluid; defining, for at least one of these cohorts, a sample of users from the cohort that is statistically sufficient to represent the cohort; fitting only the branches of the users of each sample with a remote reading device (t1, t2, . . . ) for reading the consumption; also fitting remote reading devices to the branches of the users of the other cohorts that have not been sampled; and processing the information provided by the remote reading devices to obtain a real-time value representative of the total consumption of the network.