Abstract
This study presents a profit maximization model that adopts the number of requests for image or voice transferring services on a network as decision variables for when to switch a second server on and off based on the costs of using a second server and of users waiting. A Markovian queue with a number of servers depending upon queue length and finite capacity is discussed. The data of interarrival time and service times of requests are collected by observing a queuing system. An empirical Bayesian method is then applied to estimate the traffic intensity of the system, which denotes the need for host computers. The mean number of transfer requests in the system and the queue length of transfer requests are calculated as the characteristic values of the system.
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References
Bansal, K.K., Garg, R.L.: An Additional Space Special Service Facility Heterogeneous Queue. Microelectronics and Reliability 35(4), 725–730 (1994)
Dai, K.Y.: Queue-Dependent Servers in an M/M/3 Queueing System with Finite Capacity. Master Thesis, National Chung Hsing University. Taiwan (1999)
Garg, R.L., Singh, P.: Queue Dependent Servers Queueing System. Microelectronics and Reliability 33(15), 2289–2295 (1993)
Hsieh, W.F.: Optimal Control of the Finite Capacity and Infinite Capacity with a Removable Service Station Subject to Breakdown. Master Thesis, National Chung Hsing University. Taiwan (1993)
Jennings, O.B., Mandelbaum, A., Massey, W.A., Whitt, W.: Server Staffing to Meet Time-Varying Demand. Management Science 42, 1383–1394 (1996)
Nahum, E.M., Rosu, M., Seshan, S., Almeida, J.: The Effects of Wide-Area Conditions on WWW Server Performance. In: Proc. ACM SIGMETRICS, Cambridge, MA (2001)
Singh, V.P.: Two-server Markovian Queues with Balking. Heterogeneous vs. Homogeneous Servers. Operations Research 18(1), 145–159 (1970)
Thiruvaiyaru, D., Basawa, I.V.: Empirical Bayes Estimation for Queueing Systems and Networks. Queueing Systems 11, 179–202 (1992)
Wang, K.H., Huang, H.M.: Optimal Control of a Removable Server in an M/Ek/1 Queueing System with Finite Capacity. Microelectronics and Reliability 35(7), 1023–1030 (1995)
Wang, K.H., Hsieh, W.F.: Optimal Control of a Removable and Non-reliable Server in a Markovian Queueing Systems with Finite Capacity. Microelectron. Reliab. 35(2), 189–196 (1995)
Wang, K.H., Chang, K.W., Sivazlian, B.D.: Optimal Control of a Removable and Non-reliable Server in an Infinite and a Finite M/H2/1 queueing system. Applied Mathematical Modelling 23(8), 651–666 (1999)
Wang, Y.L.: Optimal Control of an M/M/2 Queueing System with Finite Capacity Operating Under the Triadic (0,Q,N,M) Policy. Master Thesis, National Chung Hsing University. Taiwan (2001)
Whitt, W.: How Multiserver Queues Scale with Growing Congestion-Dependent Demand. Operations Research 51(4), 531–542 (2003)
Winston, W.L.: Operations Research, 3rd edn. Duxbury, Indiana University (1994)
Yamashiro, M.: A System Where the Number of Servers Changes Depending on the Queue Length. Microelectronics and Reliability 36(3), 389–391 (1996)
Zhang, A., Santos, P., Beyer, D., Tang, H.: Optimal server resource alloca-tion using an open queueing network model of response time. Technical Report HPL- 2002-301, HP Labs (2002)
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Lin, Pc. (2006). Optimizing the Profit of On-Demand Multimedia Service Via a Server-Dependent Queuing System. In: Yu, J.X., Kitsuregawa, M., Leong, H.V. (eds) Advances in Web-Age Information Management. WAIM 2006. Lecture Notes in Computer Science, vol 4016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11775300_20
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DOI: https://doi.org/10.1007/11775300_20
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