摘要:

AbstractThe problem of finding an optimal advertising and production policy in a firm is analysed using a recently proposed model of a marketing‐production system. First, it is shown that the optimal control problem underlying the proposed model is a partially singular control problem. Then, a reverse‐time parametric solution procedure is designed to determine the optimal advertising and production policy for the proposed model. Finally, it is shown that the results derived from the new model are applicable to problems of capacity expansion in a f

ISSN:0143-2087    

DOI:10.1002/oca.4660030101

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

摘要:

AbstractThe paper considers a two‐state stochastic process with a non‐linear cost structure evaluating sojourn in states and transition between them. One transition rate serves as the control variable, and one state probability is selected as the state variable. A non‐linear autonomous optimal control problem is then defined and solved by saddle‐point analysis. Next, a variant of the machine interference problem is analysed (Mmachines,Mrepairmen, time‐dependent service intensity). Under reasonable assumptions, the repair intensity is shown to be decreasing for finite planning periods. Analogous results on the qualitative structure of optimal policies can be derived for some other related models, e.g. for an autonomous version of the Kamien‐Schwartz maintenance model and for a simple model of optimal dunning of credi

ISSN:0143-2087    

DOI:10.1002/oca.4660030102

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

摘要:

AbstractThe design of an attitude measurement and control scheme for a flexible space vehicle is presented. A proposed spacecraft configuration is used to study the performance of an inertial‐optical measurement system incorporating a Kalman filter to obtain the best estimates in the presence of differing noise models. These estimates are used to correct for gyroscope drift and also provide the information necessary to implement optimal attitude control with active damping of the flexural motio

ISSN:0143-2087    

DOI:10.1002/oca.4660030103

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

摘要:

AbstractA two‐level approach for optimal final‐value control of non‐linear systems is considered. On the higher level, an on‐line optimization (using a Ritz parameterization of the control functions1) is performed during each major sampling interval in order to compute the control functions for the next intervals. On the lower level, an explicit model‐following control is used with a minor sampling interval. This allows, even for heavily disturbed systems, sufficiently long major intervals for the on‐line optimization. An ammonia reactor2is used as an example, and the application of this procedure is discussed. A realization of the controller using a hierarchical computer configuration gives an indication that, with a reasonable amount of hardware, sampling intervals of about one minute for the on‐line optimization and well below one second for the model‐following control

ISSN:0143-2087    

DOI:10.1002/oca.4660030104

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

摘要:

AbstractThis paper deals with an optimal advertising model with two state variables. The revenue and efficiency functions are concave. The aim is to choose the rate of advertising expenditures over time in a way that maximizes the present value of net profit streams over an infinite horizon subject to a replenishable budget. It is shown that the optimal advertising expenditures start at a high level and decrease over time if the initial stock of goodwill is low. Low initial budget as well as low initial stock of goodwill can cause shortness of budget. It turns out that, in contrast to comparable linear models, the remaining budget is always positive.

ISSN:0143-2087    

DOI:10.1002/oca.4660030105

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

摘要:

AbstractThe paper considers a finite‐element discretization for solving two distributed parameter system optimal control problems. Linear and quadratic finite‐element approximations are used in conjunction with Galerkin's method. The first problem involves heating a massive body in a furnace and takes into account furnace dyanmics. The input (fuel flow rate) is magnitude constrained, and the performance index is the terminal cost. The second problem pertains to a plug‐flow heat exchanger and is solved for end‐point control and control along the entire heat exchanger. Uniform wall flux and wall temperature serve as the control variables. The results are compared with earlier results, and advantages of the present approach are di

ISSN:0143-2087    

DOI:10.1002/oca.4660030106

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

摘要:

AbstractA finite‐element collocation technique is proposed for solving non‐linear distributed parameter system (DPS) optimal control problems. On each element, two Gaussian collocation points and Hermite approximation functions are used in the finite‐element collocation technique. The numerical experience for two non‐linear DPS, one involving distributed control and the other involving spatially‐independent control, is reported. Optimal control of DPS can be computed with relatively low‐order models when this finite‐element collocation tech

ISSN:0143-2087    

DOI:10.1002/oca.4660030107

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

ISSN:0143-2087    

DOI:10.1002/oca.4660030108

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

ISSN:0143-2087    

DOI:10.1002/oca.4660030109

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY

ISSN:0143-2087    

DOI:10.1002/oca.4660030110

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1982

数据来源: WILEY