caa a22 4500 38635054X CHVBK 20180307111827.0 cr unu---uuuuu 161130e198904 xx s 000 0 eng 10.1017/S0269964800001133 doi S0269964800001133 pii (NATIONALLICENCE)cambridge-10.1017/S0269964800001133 De Kok A. G. Nederlandse Philips Bedrijven B. V. Center for Quantitative MethodsThe Netherlands A Moment-Iteration Method for Approximating the Waiting-Time Characteristics of the GI/G/1 Queue [Elektronische Daten] [A. G. De Kok] In this paper, a moment-iteration method is introduced. The method is used to solve Lindley's integral equation for the GI/G/l queue. From several forms of this integral equation, we derive the first two moments of the waiting-time distribution, the waiting probability, and the percentiles of the conditional waiting time. Numerical evidence is given that the method yields excellent results. The flexibility of the method provides the opportunity to solve the GI/G/l queue for all interarrival time distributions of practical interest. To show that the moment-iteration method is generally applicable, we give some results for an (s, S)-model with order-size-dependent lead times and finite production capacity of the supplier. Copyright © Cambridge University Press 1989 Probability in the Engineering and Informational Sciences Cambridge University Press 3/2(1989-04), 273-287 0269-9648 3:2<273 1989 3 PES https://doi.org/10.1017/S0269964800001133 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0269964800001133 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- De Kok A. G. Nederlandse Philips Bedrijven B. V. Center for Quantitative MethodsThe Netherlands NATIONALLICENCE 773 0- Probability in the Engineering and Informational Sciences Cambridge University Press 3/2(1989-04), 273-287 0269-9648 3:2<273 1989 3 PES CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge