scholarly journals Determination of the optimum cutting policy for the forest stand by means of dynamic programming

1969 ◽  
Vol 0 (102) ◽  
Author(s):  
Pekka Kilkki ◽  
Unto Väisänen
1966 ◽  
Vol 3 (01) ◽  
pp. 268-271
Author(s):  
Richard Bellman

In a previous paper devoted to an application of dynamic programming to pattern recognition [1], we pointed out that some identification problems could be regarded as generalized trajectory processes. The functional equation technique [2] could then be employed to obtain an analytic formulation of the determination of optimal search techniques. In many cases, however, (for example, in chess or checkers), a straightforward use of the functional equation is impossible because of dimensionality difficulties. In circumventing these obstacles to effective computational solution, we employed a decomposition technique which we called “stratification” [1, 3]. In this paper, we present a different way of avoiding the dimensionality problem, based upon the concept of “extended state variable”. To indicate the utility of the concept, we shall apply it to the problem of finding a fault in a complex system.


POROS ◽  
2018 ◽  
Vol 16 (1) ◽  
Author(s):  
Sobron Yamin Lubis

Determination of optimum cutting speed in the lathe process should be considered in order to produce minimal machining costs and maximum production. Research The determination of optimum cutting speed was done to investigate the effect of cutting speed when cutting AISI 4140 steel against cost and production obtained. This study was conducted experimentally using lathe and theoretical calculations to determine machining costs and the amount of production produced. The lathe process is carried out using carbide cutting tools for cutting of AISI 4140 steel metal. In this machining the data obtained is the cutting time of the machining process tail loading process then the data is incorporated into the equation together with the cutting force, the cost of the cutting tools, the workpiece, the cost labourers. Then from the calculation results obtained by graph machining cost and production amount. Based on the graph, it is observed minimal machining cost and maximum production amount to know the optimum cutting point. The results obtained .The increase in cutting rate gives effect to the increase of production quantity, while for calculation of machining cost has decreased. Machining time has a significant effect on the change of production quantity and machining cost. The optimal cutting speed (Vcopt) is 269 m / min.


2015 ◽  
Vol 15 (3) ◽  
pp. 6-16 ◽  
Author(s):  
İsmail UCUN ◽  
Barış GÖKÇE ◽  
M. Said EKEN ◽  
Kubilay ASLANTAŞ ◽  
İ. Sedat BÜYÜKSAĞİŞ ◽  
...  

1972 ◽  
Vol 38 (447) ◽  
pp. 384-390 ◽  
Author(s):  
Kazuaki IWATA ◽  
Yoshisada MUROTSU ◽  
Takuzo IWATSUBO

1977 ◽  
Vol 99 (1) ◽  
pp. 210-217 ◽  
Author(s):  
K. Iwata ◽  
Y. Murotsu ◽  
F. Oba

This paper deals with the problem of optimizing the number of passes required together with the cutting speed, the feed, and the depth of cut at each pass for a given total depth of cut to be removed from a workpiece, considering both the probabilistic nature of the objective function and the constraints in the machining processes. Applying the concept of dynamic programming and stochastic programming, the problem is formulated in an analytically tractable form and a new algorithm is developed for determining the optimum value of the cutting speed, feed, depth of cut, and number of passes, simultaneously. For illustration, a typical example is solved to obtain the cost-minimizing cutting conditions in a turning operation, and the effect on the optimum cutting conditions of the various factors such as total depth of cut, uncertainty of the tool life, and constraints are discussed.


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