Rm. Bournas, BOUNDS FOR OPTIMAL FLOW-CONTROL WINDOW SIZE DESIGN WITH APPLICATION TO HIGH-SPEED NETWORKS, Journal of the Franklin Institute, 332B(1), 1995, pp. 77-89
In this paper, we study the problem of optimal window size design that
arises in flow control of communications protocols. We consider both
the sliding and pacing window flow control mechanism. We address the c
ase of one data transfer session between a sender and a receiver. The
assumption is that the sending station is transmitting a large volume
of dat in a burst to the receiving station. There are no restrictions
on the distribution of arrival or service times at the intermediate pa
cket switching stations in the communication path connecting the sende
r and receiver. Our criterion for optimal window size design is the ma
ximization of the network power. we derive upper and lower bounds of t
he optimal window size that depend on the network performance characte
ristics. The main result of this paper is that the upper bound is a si
mple function of the number of hops, the round trip propagation delay,
and the maximum throughput of the communication path. Our analysis an
d results incorporate the round trip propagation delay which may be ve
ry important in the design of window sizes for high-speed networks. Th
is work could be applied to a Transmission Control Protocol(TCP) conne
ction over a Wide Area Network (WAN), or to a virtual Advanced Peer to
Peer Networking (APPN) session.