Optimal Control of an M/G/1/K Queueing System with Combined F Policy and Startup Time

K.-H. Wang (), C.-C. Kuo and W. L. Pearn
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K.-H. Wang: National Chung-Hsing University
C.-C. Kuo: National Chiao Tung University
W. L. Pearn: National Chiao Tung University

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 2, No 7, 285-299

Abstract: Abstract 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. A cost 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.

Keywords: Fpolicy; M/G/1/K queue; Optimization; Recursive methods; Sensitivity analyses; Startup times; Supplementary variables (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-007-9253-6

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