Accession Number : AD0831664

Title :   AN ANALYTICAL MODEL FOR APPLICATION TO THE OPERATION OF REPLENISHMENT AT SEA.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Waggoner, Mark Harvey

Report Date : DEC 1967

Pagination or Media Count : 37

Abstract : An analytical model for replenishment at sea is formulated for two supply ships and L combatants using queueing theory concepts and a random walk model in the plane. Exponential distributions are assumed for replenishment times, and, given the initial number of combatants to be replenished by each supply ship, the distribution for total time to complete the finite operation is obtained in terms of Laplace transforms. All possible sequences for finishing the replenishments of the combatants have been considered in the model, and the techniques which were developed to count the number of sequence possibilities are presented as an appendix. Although this model involves only two supply ships, it is believed that the methods used may be generalized for application to more complicated models. (Author)

Descriptors :   *NAVAL OPERATIONS, LOGISTICS, MILITARY SUPPLIES, LOGISTICS, QUEUEING THEORY, MATHEMATICAL MODELS, NAVAL VESSELS, TENDERS(VESSELS), INTEGRAL TRANSFORMS, SEQUENCES(MATHEMATICS), NAVAL VESSELS, NUMERICAL METHODS AND PROCEDURES, THESES.

Subject Categories : Logistics, Military Facilities and Supplies
      Naval Surface Warfare

Distribution Statement : APPROVED FOR PUBLIC RELEASE