caa a22 4500 386350442 CHVBK 20180307111827.0 cr unu---uuuuu 161130e198910 xx s 000 0 eng 10.1017/S0269964800001388 doi S0269964800001388 pii (NATIONALLICENCE)cambridge-10.1017/S0269964800001388 Control Policies for Two Classes of Inventory Systems via a Duality-Equivalence Relationship [Elektronische Daten] Two classes of inventory systems are considered, and modeled under a control policy of the bang-bang type. For the first, items and demands for those items arrive independently and singly at a system. Unsatisfied demands are lost, and items staying on the shelf too long are considered unsuitable for use and are rejected. For the second, items are produced continuously over time with fixed rate in a storage/production system with capacity k, in which demands of exponential size arrive according to a Poisson process, and no backorders are allowed. The problem of controlling the demand rate in the first model is shown to be equivalent to the problem of controlling the production rate in the second model. Optimization methods are then considered for both models employing discounted cost and averaged cost rate criteria for the optimal selection of switchover levels for arrival and demand rates. Copyright © Cambridge University Press 1989 Perry D. Department of Statistics University of Haifa Haifa, 3000 Israel and Department of Management Science University of Toronto Tronto, Ontario, M5S 1A4, Canada Posner M. J. M. Department of Statistics University of Haifa Haifa, 3000 Israel and Department of Management Science University of Toronto Tronto, Ontario, M5S 1A4, Canada Probability in the Engineering and Informational Sciences Cambridge University Press 3/4(1989-10), 561-579 0269-9648 3:4<561 1989 3 PES https://doi.org/10.1017/S0269964800001388 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0269964800001388 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Perry D. Department of Statistics University of Haifa Haifa, 3000 Israel and Department of Management Science University of Toronto Tronto, Ontario, M5S 1A4, Canada NATIONALLICENCE 700 1- Posner M. J. M. Department of Statistics University of Haifa Haifa, 3000 Israel and Department of Management Science University of Toronto Tronto, Ontario, M5S 1A4, Canada NATIONALLICENCE 773 0- Probability in the Engineering and Informational Sciences Cambridge University Press 3/4(1989-10), 561-579 0269-9648 3:4<561 1989 3 PES CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge