To extend the lifetime of a distributed power network, that consists of several generators supplying several load centers, according to a joint Gaussian probability distribution functions (PDF) of various random variables with estimated probabilities of source-load power coverage. The probability of any generator covering a load center is assumed to be readily known from statistical data. The nth order joint Gaussian PDF of all generators to any load center is calculated according to variations in the value of the mean covered power. This procedure is expanded to all load centers with the assumption that they are independent. The overall joint PDF with probabilities above a certain threshold value, are selected in an algorithm to prolong whole network lifetime by removing redundancies in powering all generators in same time. The contributions of each generator in supplying overall network loads, are then estimated in an intuitive method according to the evaluated probabilities of each generator supplying whole network load. The lifetime extension is demonstrated in a case study example.