ANALYSIS OF THE QUEUING PROCESS AT AN OFFSHORE EXPORT TERMINAL

The objective of this study is to analyze the queuing process at an offshore terminal and determine the effect of the system's operational characteristics on the expected queue length of ships. A model for representing the cargo flow process at an offshore export terminal is proposed and its hypotheses are discussed. The queuing process at the steady state, for single berth terminals, is then analyzed. As the service time distribution is not known a priori, but rather depends on the storage level, the queue must be characterized by a set of functions F(j,E), which measure the joint probability of a queue length equal to j and a storage level less than or equal to E at the ship departure times. From the analysis of the queuing process at two consecutive departure times, a set of integral equations for determining the stationary distribution F(j,E) is derived. The existence of jump discontinuities in the functions F(j,E) is then shown. In order to allow a better understanding of the way in which the system variables act in the queuing process and to permit the results of one computation to be applied to any other similar configuration, non-dimensional variables are introduced. Three non-dimensional parameters are found and their meaning is discussed. A numerical process is developed to solve the stationary distribution relationships, by using the successive approximation method. The problem is then solved systematically for several sets of parameter values to show the influence of each parameter.

  • Corporate Authors:

    Massachusetts Institute of Technology

    Department of Ocean Engineering, 77 Massachusetts Avenue
    Cambridge, MA  United States  02139
  • Authors:
    • Brinati, M A
  • Publication Date: 1974-9

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Filing Info

  • Accession Number: 00080028
  • Record Type: Publication
  • Source Agency: Massachusetts Institute of Technology
  • Report/Paper Numbers: MS Degree
  • Files: TRIS
  • Created Date: Jan 16 1975 12:00AM