Invariant problems in discounted dynamic programming

1978 ◽  
Vol 10 (2) ◽  
pp. 472-490 ◽  
Author(s):  
David Assaf
Keyword(s):  
Dynamic Programming ◽  
Arbitrary State ◽  
Transition Mechanism ◽  
Current State ◽  
A Value ◽  
Discounted Dynamic Programming ◽  
Optimal Policies ◽  
Finite Action ◽  
Value Determination ◽  
Special Case

Discounted dynamic programming problems whose transition mechanism depends only on the action taken and does not depend on the current state are considered. A value determination operation and method of obtaining optimal policies for the case of finite action space (and arbitrary state space) are presented.The solution of other problems is reduced to this special case by a suitable transformation. Results are illustrated by examples.

Invariant problems in discounted dynamic programming

1978 ◽  
Vol 10 (02) ◽  
pp. 472-490 ◽  
Author(s):  
David Assaf
Keyword(s):  
Dynamic Programming ◽  
Arbitrary State ◽  
Transition Mechanism ◽  
Current State ◽  
A Value ◽  
Discounted Dynamic Programming ◽  
Optimal Policies ◽  
Finite Action ◽  
Value Determination ◽  
Special Case

Discounted dynamic programming problems whose transition mechanism depends only on the action taken and does not depend on the current state are considered. A value determination operation and method of obtaining optimal policies for the case of finite action space (and arbitrary state space) are presented. The solution of other problems is reduced to this special case by a suitable transformation. Results are illustrated by examples.

scholarly journals In VitroInhibitory and Cytotoxic Activity of MFM 501, a Novel Codonopsinine Derivative, against Methicillin-ResistantStaphylococcus aureusClinical Isolates

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Saiful Azmi Johari ◽  
Mastura Mohtar ◽  
Sharifah Aminah Syed Mohammad ◽  
Rohana Sahdan ◽  
Zurina Shaameri ◽  
...  
Keyword(s):  
Active Compound ◽  
Inhibitory Activity ◽  
Normal Cell ◽  
Bactericidal Effect ◽  
Selectivity Index ◽  
Cytotoxicity Activity ◽  
A Value ◽  
Value Determination ◽  
Mic Value

28 new pyrrolidine types of compounds as analogues for natural polyhydroxy alkaloids of codonopsinine were evaluated for their anti-MRSA activity using MIC and MBC value determination assay against a panel ofS. aureusisolates. One pyrrolidine compound, MFM 501, exhibited good inhibitory activity with MIC value of 15.6 to 31.3 μg/mL against 55S. aureusisolates (43 MRSA and 12 MSSA isolates). The active compound also displayed MBC values between 250 and 500 μg/mL against 58S. aureusisolates (45 MRSA and 13 MSSA isolates) implying that MFM 501 has a bacteriostatic rather than bactericidal effect against both MRSA and MSSA isolates. In addition, MFM 501 showed no apparent cytotoxicity activity towards three normal cell lines (WRL-68, Vero, and 3T3) with IC50values of >625 µg/mL. Selectivity index (SI) of MFM 501 gave a value of >10 suggesting that MFM 501 is significant and suitable for furtherin vivoinvestigations. These results suggested that synthetically derived intermediate compounds based on natural products may play an important role in the discovery of new anti-infective agents against MRSA.

scholarly journals Launch Velocities in Successful Golf Putting: An Analytical Analysis

2017 ◽  
Vol 5 (2) ◽  
pp. 24
Author(s):  
John F. Mahoney ◽  
Daniel P. Connaughton
Keyword(s):  
Critical Value ◽  
Theoretical Studies ◽  
Newtonian Mechanics ◽  
Ambient Conditions ◽  
Analytical Analysis ◽  
Bouncing Ball ◽  
Golf Putting ◽  
A Value ◽  
Special Case

Background: This study is concerned with the special case of a putted ball intersecting a standard golf hole at its diameter. The velocity of the ball at the initial rim of the hole is termed the launch velocity and depending upon its value the ball may either be captured or it may escape capture by jumping over the hole. The critical value of the launch velocity (V) is such that lesser values result in capture while greater values produce escape. Purpose: Since the value of the V entered prominently in some theoretical studies of putting, the aim of the current study is to provide an original re-evaluation of V and to contrast our results with existing results. Method: This analytical analysis relies on trigonometry in conjunction with Newtonian mechanics and the mathematics of projectiles. The results of a recent study into the mathematics of a bouncing ball which included the notions of restitution and friction were also employed in the analysis. Results: If bouncing and slipping do not occur when the ball hits the far rim of the hole our analysis produces a value of V of 1.356 m/s. When bouncing and slipping are present we find that V is at least 1.609 m/s but increases beyond this value as slipping and friction become greater. Useful relations which relate the dynamics and geometry of the ball to V are provided. Conclusion: Since ambient conditions may influence the extent of bounce and slippage we conjecture that the value of V is not unique.

scholarly journals XVI.—On the Path of a Rotating Spherical Projectile. II.

1900 ◽  
Vol 39 (2) ◽  
pp. 491-506 ◽  
Author(s):  
Tait
Keyword(s):  
Great Part ◽  
Numerical Data ◽  
Terminal Velocity ◽  
Considerable Improvement ◽  
Golf Ball ◽  
Initial Speed ◽  
Interesting Application ◽  
A Value ◽  
Special Case

The first instalment of this paper was devoted in great part to the general subject involved in its title, but many of the illustrations were derived from the special case of the flight of a golf-ball. Since it was read I have endeavoured, alike by observation and by experiment, to improve my numerical data for this interesting application, particularly as regards the important question of the coefficient of resistance of the air. As will be seen, I now find a value intermediate to those derived (by taking average estimates of the mass and diameter of a golf-ball) from the results of Robins and of Bashforth. This has been obtained indirectly by means of a considerable improvement in the apparatus by which I had attempted to measure the initial speed of a golf-ball. I have, still, little doubt that the speed may, occasionally, amount to the 300, or perhaps even the 350, foot-seconds which I assumed provisionally in my former paper:—but even the first of these is a somewhat extravagant estimate; and I am now of opinion that, even with very good driving, an initial speed of about 240 is not often an underestimate, at least in careful play. From this, and the fact that six seconds at least are required for a long carry (say 180 yards), I reckon the “terminal velocity” at about 108, giving v2/360 as the resistance-acceleration.

On the origin of black hole evaporation radiation

1976 ◽  
Vol 351 (1664) ◽  
pp. 129-139 ◽  
Keyword(s):  
Black Hole ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Static Vacuum ◽  
Black Hole Evaporation ◽  
A Value ◽  
Special Case ◽  
Collapse Process

The physical basis underlying the black hole evaporation process is clarified by a calculation of the expectation value of the energy-momentum tensor for a massless scalar field in a completely general two dimensional collapse scenario. It is found that radiation is produced inside the collapsing matter which propagates both inwards and outwards. The ingoing com­ponent eventually emerges from the star after travelling through the centre. The outgoing energy flux appears at infinity as the evaporation radiation discovered by Hawking. At late times, outside the star, the former component fades out exponentially, and the latter component approaches a value which is independent of the details of the collapse process. In the special case of a collapsing hollow, thin shell of matter, all the radiation is produced at the shell. These results are independent of regularization ambiguities, which enter only the static vacuum polariza­tion terms in the energy-momentum tensor. The significance of an earlier remark about black hole explosions is discussed in the light of these results.

On the optimality of LEPT and μc rules for parallel processors and dependent arrival processes

1993 ◽  
Vol 25 (04) ◽  
pp. 979-996
Author(s):  
Arie Hordijk ◽  
Ger Koole
Keyword(s):  
Dynamic Programming ◽  
Parallel Processors ◽  
Arrival Process ◽  
Scheduling Problems ◽  
Cost Structures ◽  
Markov Decision ◽  
New Type ◽  
Arrival Processes ◽  
Special Case

In this paper we study scheduling problems of multiclass customers on identical parallel processors. A new type of arrival process, called a Markov decision arrival process, is introduced. This arrival process can be controlled and allows for an indirect dependence on the numbers of customers in the queues. As a special case we show the optimality of LEPT and the µc-rule in the last node of a controlled tandem network for various cost structures. A unifying proof using dynamic programming is given.

Constrained Discounted Dynamic Programming

1996 ◽  
Vol 21 (4) ◽  
pp. 922-945 ◽  
Author(s):  
Eugene A. Feinberg ◽  
Adam Shwartz
Keyword(s):  
Dynamic Programming ◽  
Discounted Dynamic Programming
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