Optimal policies for first-order consecutive reversible reactions

1964 ◽  
Vol 19 (8) ◽  
pp. 541-553 ◽  
Author(s):  
R.S.H. Mah ◽  
R. Aris
Keyword(s):  
First Order ◽  
Reversible Reactions ◽  
Optimal Policies

Scheduling Two-Point Stochastic Jobs to Minimize the Makespan on Two Parallel Machines

1997 ◽  
Vol 11 (1) ◽  
pp. 95-105 ◽  
Author(s):  
Sem Borst ◽  
John Bruno ◽  
E. G. Coffman ◽  
Steven Phillips
Keyword(s):  
General Problem ◽  
Time Distribution ◽  
Hazard Rate ◽  
Parallel Machines ◽  
Discrete Distributions ◽  
Hazard Rates ◽  
Running Time ◽  
First Order ◽  
Optimal Policies ◽  
Expected Makespan

Simple optimal policies are known for the problem of scheduling jobs to minimize expected makespan on two parallel machines when the job running-time distribution has a monotone hazard rate. But no such policy appears to be known in general. We investigate the general problem by adopting two-point running-time distributions, the simplest discrete distributions not having monotone hazard rates. We derive a policy that gives an explicit, compact solution to this problem and prove its optimality. We also comment briefly on first-order extensions of the model, but each of these seems to be markedly more difficult to analyze.

Exact Asymptotic Relaxation of Pseudo-First-Order Reversible Reactions

1997 ◽  
Vol 79 (16) ◽  
pp. 3074-3077 ◽  
Author(s):  
Wolfgang Naumann ◽  
Nikolai V. Shokhirev ◽  
Attila Szabo
Keyword(s):  
First Order ◽  
Reversible Reactions ◽  
Pseudo First Order

scholarly journals ON STABILITY OF STATIONARY STATES OF REVERSIBLE REACTIONS OF THE FIRST ORDER

2022 ◽  
Vol 1 (15) ◽  
pp. 119-122
Author(s):  
Svetlana Senotova
Keyword(s):  
Differential Equations ◽  
Stationary State ◽  
Direct Method ◽  
First Integral ◽  
Stationary States ◽  
System Of Differential Equations ◽  
First Order ◽  
Lyapunov’S Direct Method ◽  
Reversible Reactions

The article discusses reversible first-order reactions. A system of differential equations is written. First integral and stationary state found. Using Lyapunov's direct method, stationary stability was investigated

Dual systems for all: Higher-order, role-based relational reasoning as a uniquely derived feature of human cognition

2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic
Keyword(s):  
Temporal Reasoning ◽  
Higher Order ◽  
Important Case ◽  
Human Cognition ◽  
Relational Reasoning ◽  
Dual Systems ◽  
First Order ◽  
Reasoning System ◽  
Role Based

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.

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