Courcoubetis, Costas A.; Reiman, Martin I. Optimal control of a queueing system with simultaneous service requirements. (English) Zbl 0633.90020 IEEE Trans. Autom. Control 32, 717-727 (1987). The paper discusses the optimal policy of allocating the servers in a queueing system with N identical servers. Customers are of two types - ordinary and locking. An ordinary customer requires a single server to be processed, whereas a locking customer requires processing by all the servers simultaneously. The locking customers arrive in a Poisson fashion, whereas an infinite number of ordinary customers is available in the system itself. Service times are exponentially distributed random variables with different parameters for the two types of customers. Reviewer: R.Subramanian Cited in 7 Documents MSC: 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory) Keywords:server allocation; optimal policy; queueing system; identical servers PDFBibTeX XMLCite \textit{C. A. Courcoubetis} and \textit{M. I. Reiman}, IEEE Trans. Autom. Control 32, 717--727 (1987; Zbl 0633.90020) Full Text: DOI