Scheduling a three supply ship replenishment operation.
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Authors
Huling, John McKee Jr.
Subjects
replenishment at sea
analytical model
random walk
underway replenishment
queueing theory
analytical model
random walk
underway replenishment
queueing theory
Advisors
Milch, Paul R.
Date of Issue
1969
Date
October 1969
Publisher
Language
en_US
Abstract
The operation of replenishment at sea is investigated for three
supply ships and L combatants using queueing theory concepts and a
random walk model in three dimensions. The distribution for total
replenishment time given the initial number of combatants to be
replenished by each supply ship and a specified cyclic order of
replenishment is expressed in terms of its Laplace transform under
the assumption of independent, exponential service times for each
supply vessel. A method for counting all possible sequences of
replenishment is not found, but some preliminary counting techniques
are developed which may be useful in its eventual determination.
Type
Thesis
Description
Series/Report No
Department
Operations Analysis
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
Format
p.
cm.
cm.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.