Abstract
This comment replies to a criticism due to Klein and Gruver (Ref. 1) of our earlier paper (Ref. 2) on the application of control theory to a queueing system. The criticism concerns the state-space diagram and the table which we inadvertently gave for the terminal-reward problem, albeit incorrectly labeled, rather than for the free-endpoint problem considered in our paper. We show that the solution given by Klein and Gruver is itself incorrect and nonoptimal.
This is a preview of subscription content, log in via an institution to check access.
References
Klein, C. F., andGruver, W. A.,On the Optimal Control of a Single Server Queueing System: Comment, Journal of Optimization Theory and Applications, Vol. 26, No. 3, 1978.
Scott, C. H., andJefferson, T. R.,Optimal Regulation of the Service Rate for a Queue with Finite Waiting Space, Journal of Optimization Theory and Applications, Vol. 20, pp. 245–250, 1976.
Author information
Authors and Affiliations
Additional information
Communicated by G. Leitmann
Rights and permissions
About this article
Cite this article
Scott, C.H., Jefferson, T.R. On the optimal control of a single-server queueing system: Reply. J Optim Theory Appl 26, 463–464 (1978). https://doi.org/10.1007/BF00933467
Issue Date:
DOI: https://doi.org/10.1007/BF00933467