
Accession Number : AD0674886
Title : STATIC DECISION MODELS FOR QUEUEING SYSTEMS WITH NONLINEAR WAITING COSTS.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS
Personal Author(s) : Stidham,Shaler , Jr
Report Date : 03 SEP 1968
Pagination or Media Count : 216
Abstract : Some models for the optimal design of queueing systems are presented. In most models studied, the decision variables are the number of servers (c) and the mean rate (mu) at which each serves. The objective function is the steadystate total expected cost rate of operating the system, which is assumed to be the sum of a cost of operating the service mechanism and a cost due to customers waiting in the system. It is shown that a singleserver system is optimal for a wide class of arrival processes and servicetime distributions, a wide variety of service and waiting cost functions, and a wide variety of system structures and operating policies. The optimality of the singleserver system is first demonstrated for singlestation models with general arrival process and degenerate, exponential, or Erlang servicetime distribution, where the servicecost rate is proportional to both c and mu and the waitingcost rate is proportional to the number of customers in the system. Several generalizations of this model are presented. (Author)
Descriptors : (*QUEUEING THEORY, OPTIMIZATION), STOCHASTIC PROCESSES, DECISION THEORY, MANAGEMENT PLANNING AND CONTROL, STATISTICAL PROCESSES, FLOW CHARTING, NUMERICAL ANALYSIS, NETWORKS, COSTS, MATHEMATICAL MODELS, THESES
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE