Yao, David D. Some properties of the throughput function of closed networks of queues. (English) Zbl 0569.90029 Oper. Res. Lett. 3, 313-317 (1985). The throughput function of a closed network of queues is shown to be Schur concave and arrangement increasing. As a consequence of these properties, loading and server-assignment policies can be compared based on the majorization and the arrangement orderings. Implications of the results are discussed. Cited in 10 Documents MSC: 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory) 60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.) 90B10 Deterministic network models in operations research Keywords:Schur convexity; throughput function; closed network of queues; arrangement increasing; majorization PDF BibTeX XML Cite \textit{D. D. Yao}, Oper. Res. Lett. 3, 313--317 (1985; Zbl 0569.90029) Full Text: DOI References: [1] Buzacott, J. A.; Shanthikumar, J. G., Models for understanding flexible manufacturing systems, AIIE Transactions, 12, 339-350 (1980) [2] Gelenbe, E.; Mitrani, I., Analysis and Synthesis of Computer Systems (1980), Academic Press: Academic Press London · Zbl 0484.68026 [3] Gross, D.; Miller, D. R.; Soland, R. M., A closed queueing network model for multi-echelon repairable item provisioning, AIIE Transactions, 15, 344-352 (1983) [4] Marshall, A. W.; Olkin, I., Inequalities: Theory of Majorization and its Applications (1979), Academic Press: Academic Press New York · Zbl 0437.26007 [5] Price, T. G., Probability models of multi-programmed computer systems, (Ph.D. Dissertation (1974), Department of Electrical Engineering, Stanford University: Department of Electrical Engineering, Stanford University Stanford, CA) [6] Shanthikumar, J. G., On the superiority of balanced load in a flexible manufacturing system (1982), Department of Industrial Engineering and Operations Research, Syracuse University: Department of Industrial Engineering and Operations Research, Syracuse University Syracuse, NY [7] Whiteley, J. N., A generalization of a theorem of Newton, (Proceedings of the American Mathematical Society, 13 (1962)), 144-151 · Zbl 0105.26903 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.