M/G/ oo with Batch Arrivals
Name
OR-169-87.pdf
Size
509.15 KB
Format
Adobe PDF
Checksum (MD5)
a0697080d3e04680e697762049c06af3
Author(s)
Keilson, Julian
Seidmann, A.
Date Issued
September 1987
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 169-87
Abstract
Let po(n) be the distribution of the number N(oo) in the system at ergodicity for systems with an infinite number of servers, batch arrivals with general batch size distribution and general holding times. This distribution is of impotance to a variety of studies in congestion theory, inventory theory and storage systems. To obtain this distribution, a more general problem is addressed . In this problem, each epoch of a Poisson process gives rise to an independent stochastic function on the lattice of integers, which may be viewed as a stochastic impulse response. A continuum analogue to the lattice process is also provided.
Description
OR 169-87 Revised Version. Original copy, WP1932-87 September 1987, also enclosed was submitted to the University of Rochester.
MIT Department
Massachusetts Institute of Technology. Operations Research Center
Persistent DSpace Link
