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<p>An analytical approach to the problem of replenishing task forces at sea is investigated utilizing queueing theory concepts and a random walk model. The total replenishment time of the task force is derived as the sum of specific individual replenishment times involving idle times of supply ships. With the additional assumption of exponentiality for the replenishment times, the probability density function of the total replenishment time is found in terms of the conditional Laplace transforms of specific type sequences of servicing and the probabilities that these sequences occur.
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<br>Subjects: SUPPLY MANAGEMENT</div>
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Patterson, Bernard Leo</div>
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