Reservoirs with Markovian Inflows: Application of A Generating Function for the Asymptotic Storage Distribution
Anis, A., Lioyd, E. (1971). Reservoirs with Markovian Inflows: Application of A Generating Function for the Asymptotic Storage Distribution. EKB Journal Management System, 15(2), 15-47. doi: 10.21608/esju.1971.430349
Abdel-Azim Anis; Emlyn H. Lioyd. "Reservoirs with Markovian Inflows: Application of A Generating Function for the Asymptotic Storage Distribution". EKB Journal Management System, 15, 2, 1971, 15-47. doi: 10.21608/esju.1971.430349
Anis, A., Lioyd, E. (1971). 'Reservoirs with Markovian Inflows: Application of A Generating Function for the Asymptotic Storage Distribution', EKB Journal Management System, 15(2), pp. 15-47. doi: 10.21608/esju.1971.430349
Anis, A., Lioyd, E. Reservoirs with Markovian Inflows: Application of A Generating Function for the Asymptotic Storage Distribution. EKB Journal Management System, 1971; 15(2): 15-47. doi: 10.21608/esju.1971.430349

Reservoirs with Markovian Inflows: Application of A Generating Function for the Asymptotic Storage Distribution

The Egyptian Statistical Journal
Article 2, Volume 15, Issue 2, December 1971, Pages 15-47    PDF (18.82 M)
Document Type: Original Article
DOI: 10.21608/esju.1971.430349
Authors
Abdel-Azim Anis* ; Emlyn H. Lioyd
University of Lancaster on Leave from Ain Shams University, Cairo
Abstract

After drawing attention to the contrast between the assumptions made in simple resevoir theory and the requirements of a realistic model the paper concentrates on a compromise model involving (as a simplification) semi-infinite capacity and (as a step towards realism) Markovian inflows, and considers for this model a number of applications of the Odoom-Lloyd matrix generating function for the asymptotic storage distribution.
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