caa a22 4500 463169735 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071101xx s 000 0 eng 10.1007/s10957-007-9253-6 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9253-6 Optimal Control of an M/G/1/K Queueing System withCombined F Policy and Startup Time [Elektronische Daten] [K.-H. Wang, C.-C. Kuo, W. Pearn] We investigate the optimal management problem of an M/G/1/K queueing system with combined F policy and an exponential startup time. The F policy queueing problem investigates the most common issue of controlling the arrival to a queueing system. We present a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining service time, to obtain the steady state probability distribution of the number of customers in the system. The method is illustrated analytically for exponential service time distribution. Acost model is established to determine the optimal management F policy at minimum cost. We use an efficient Maple computer program to calculate the optimal value of F and some system performance measures. Sensitivity analysis is also investigated. Springer Science+Business Media, LLC, 2007 F policy, M/G/1/K queue nationallicence Optimization nationallicence Recursive methods nationallicence Sensitivity analyses nationallicence Startup times nationallicence Supplementary variables nationallicence Wang K.-H Department of Applied Mathematics, National Chung-Hsing University, Taichung, Taiwan, ROC aut Kuo C.-C Department of Industrial Engineering and Management, National Chiao Tung University, Hsin Chu, Taiwan, ROC aut Pearn W. Department of Industrial Engineering and Management, National Chiao Tung University, Hsin Chu, Taiwan, ROC aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 285-299 0022-3239 135:2<285 2007 135 10957 https://doi.org/10.1007/s10957-007-9253-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9253-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang K.-H Department of Applied Mathematics, National Chung-Hsing University, Taichung, Taiwan, ROC aut NATIONALLICENCE 700 1- Kuo C.-C Department of Industrial Engineering and Management, National Chiao Tung University, Hsin Chu, Taiwan, ROC aut NATIONALLICENCE 700 1- Pearn W. Department of Industrial Engineering and Management, National Chiao Tung University, Hsin Chu, Taiwan, ROC aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/2(2007-11-01), 285-299 0022-3239 135:2<285 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer