Understanding the efficiency of multi-server service systems
Article Abstract:
A suitable server utilization level is determined for multi-server queues. Consideration is given to the economy of scale relating server utilization level with server number and a coarse characterization quantitative in nature is provided. The performance measure of interest serves as a highly influential factor in the relation linking server utilization and server number. By adopting an approximation strategy on two basic s-server models, the behavior of a model of a complex s-server is derived for two separate instances wherein all s servers are either busy or not busy based on associations with single or infinite servers respectively. It is observed that server utilization decreases with increasing variability of arrival and services processes for a specified service grade. Approximations were also formulated for waiting-time distribution under mean and full steady-states.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1992
User Contributions:
Comment about this article or add new information about this topic:
The efficiency of one long run versus independent replications in steady-state simulation
Article Abstract:
The efficiency of a long-run replication was compared to that of independent replications in a steady-state simulation by developing a risk function and queueing models. The results indicated that there was an advantage to using one long-run replication if the amount deleted from the initial portion of the replication increased or if the covariance function decreased more quickly. The long-run replication was more efficient when the covariance function decayed rapidly in relation to the rate at which the process approached steady state. One long-run replication and several replications appeared to be equally efficient when the total run length of the simulation was long enough to obtain fairly good estimates.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1991
User Contributions:
Comment about this article or add new information about this topic:
The best order for queues in series
Article Abstract:
Approximation methods can be used to indicate the optimum order for two or more single-server stations in series, a significant design problem for queueing systems. Precise analysis of such problems are not easily achieved as models are difficult to control, but approximation techniques may be devised for queue networks that will indicate approximation formulas and applicable heuristic design assumptions. In this study, the best order of the stations will keep the anticipated equilibrium sojourn time per user to a minimum.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1985
User Contributions:
Comment about this article or add new information about this topic: