SCHEDULING A THREE SUPPLY SHIP REPLENISHMENT OPERATION.

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. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0703261

Entities

People

  • John Mckee Huling Jr

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Mathematics
  • Queueing Theory
  • Random Walk
  • Replenishment
  • Scheduling (Production)
  • Sequences

Readers

  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.
  • Logistics and Supply Chain Management.