dc.contributor.advisor Milch, Paul R. dc.contributor.author Beveridge, Jerry Donald dc.date.accessioned 2012-11-01T22:54:10Z dc.date.available 2012-11-01T22:54:10Z dc.date.issued 1970-09 dc.identifier.uri http://hdl.handle.net/10945/14884 dc.description.abstract An analytical approach to the problem of replenishing task forces en_US at sea is investigated, using a random walk model. The type of replenishment operations considered consists of two replenishment ships of different types, each replenishing L combatant ships of different types. The combatant ships are initially distributed into queues of length M and N between the two replenishment ships. As each combatant ship completes its first replenishment, it then enters the queue of the other replenishment ship. Thus each combatant ship is replenished by both replenishment ships. Replenishment times for the combatant ships are assumed to be independent, positive valued random variables whose distributions are dependent upon both replenishment ship type and combatant ship type. The replenishment of the task force is completed whenever 2L replenishments, two for each combatant ship, are completed. The total replenishment time is shown to be the maximum of certain partial sums of the individual replenishment times. A general expression for the distribution function of the total replenishment time is sought by various methods of analysis. A computer simulation is used to gain a better understanding of the form of the distribution function of total replenishment time for a specific underway replenishment operation. Some examples are discussed. dc.description.uri http://archive.org/details/annalyticalndcom1094514884 dc.language.iso en_US dc.publisher Monterey, California ; Naval Postgraduate School en_US dc.title An analytical and computer simulation approach to the problem of replenishing task forces at sea en_US dc.type Thesis en_US dc.contributor.corporate Naval Postgraduate School dc.contributor.school Naval Postgraduate School dc.contributor.department Operations Research dc.description.service Lieutenant Commander, United States Navy en_US etd.thesisdegree.name M.S. in Operations Research en_US etd.thesisdegree.level Masters en_US etd.thesisdegree.discipline Operations Research en_US etd.thesisdegree.grantor Naval Postgraduate School en_US dc.description.distributionstatement Approved for public release; distribution is unlimited.
﻿