scholarly journals Radar Beam Scheduling Using Pareto Optimal Point to Optimize Dual Cost Function

Author(s):  
Seung-Hyeon Jin ◽  
Nam-Hoon Jeong ◽  
Jae-Ho Choi ◽  
Seong-Hyeon Lee ◽  
Cheol-Ho Kim ◽  
...  
2020 ◽  
Vol 66 (1) ◽  
pp. 176-201 ◽  
Author(s):  
Fangwei Ye ◽  
Shiqiu Liu ◽  
Kenneth W. Shum ◽  
Raymond W. Yeung

1986 ◽  
Vol 14 (4) ◽  
pp. 448-465 ◽  
Author(s):  
Dennis Sullivan ◽  
Harris Schlesinger

This article analyzes the relationships among three canons of “just” taxation: Pareto optimality, individual rationality, and fairness (nonenvy). Using a helpful device called a Kolm triangle, the analysis shows that the fair and Pareto optimal point need not be individually rational, that it will involve progressive taxation, and that it bears no particular relationship to Lindahl equilibrium, but a rather close relationship to Rawlsian justice.


2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Geraldine Cáceres Sepúlveda ◽  
Silvia Ochoa ◽  
Jules Thibault

AbstractDue to the highly competitive market and increasingly stringent environmental regulations, it is paramount to operate chemical processes at their optimal point. In a typical process, there are usually many process variables (decision variables) that need to be selected in order to achieve a set of optimal objectives for which the process will be considered to operate optimally. Because some of the objectives are often contradictory, Multi-objective optimization (MOO) can be used to find a suitable trade-off among all objectives that will satisfy the decision maker. The first step is to circumscribe a well-defined Pareto domain, corresponding to the portion of the solution domain comprised of a large number of non-dominated solutions. The second step is to rank all Pareto-optimal solutions based on some preferences of an expert of the process, this step being performed using visualization tools and/or a ranking algorithm. The last step is to implement the best solution to operate the process optimally. In this paper, after reviewing the main methods to solve MOO problems and to select the best Pareto-optimal solution, four simple MOO problems will be solved to clearly demonstrate the wealth of information on a given process that can be obtained from the MOO instead of a single aggregate objective. The four optimization case studies are the design of a PI controller, an SO2 to SO3 reactor, a distillation column and an acrolein reactor. Results of these optimization case studies show the benefit of generating and using the Pareto domain to gain a deeper understanding of the underlying relationships between the various process variables and performance objectives.


2020 ◽  
Vol 164 ◽  
pp. 08030
Author(s):  
Sergey Barkalov ◽  
Pavel Kurochka ◽  
Anton Khodunov ◽  
Natalia Kalinina

A model for the selection of options for the production of work in a construction project is considered, when each option is characterized by a set of criteria. The number of analyzed options is being reduced based on the construction of the Pareto-optimal solution set. The remaining options are used to solve the problem based on the network model,\ in which the solution will be a subcritical path that meets budgetary constraints. At the same time, the proposed comprehensive indicator characterizing the preferences of the customer makes it possible to determine alternative options for performing work in the energy project in such a way that the amount of costs allocated to implement the set of work under consideration is minimal. Another statement of the problem is also considered when it is necessary to determine a strategy for the implementation of an energy project that, given a planned budget constraint, maximizes the growth of a comprehensive indicator that characterizes customer preferences in this project. The solution of the tasks is given under the assumption of the convexity of the cost function.


Author(s):  
Cheng He ◽  
Shisheng Li ◽  
Jing Wu

This paper considers a class of simultaneous optimization scheduling with two competitive agents on an unbounded serial-batching machine. The cost function of each agent depends on the completion times of its jobs only. According to whether the jobs from different agents can be processed in a common batch, compatible model and incompatible model are investigated. For the incompatible model, we consider batch availability and item availability. For each problem, we provide a polynomial-time algorithm that can find all Pareto optimal schedules.


Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 248
Author(s):  
Luiz Célio S. Rocha ◽  
Mariana S. Rocha ◽  
Paulo Rotella Junior ◽  
Giancarlo Aquila ◽  
Rogério S. Peruchi ◽  
...  

The high proportion of CO2/CH4 in low aggregated value natural gas compositions can be used strategically and intelligently to produce more hydrocarbons through oxidative methane coupling (OCM). The main goal of this study was to optimize direct low-value natural gas conversion via CO2-OCM on metal oxide catalysts using robust multi-objective optimization based on an entropic measure to choose the most preferred Pareto optimal point as the problem’s final solution. The responses of CH4 conversion, C2 selectivity, and C2 yield are modeled using the response surface methodology. In this methodology, decision variables, e.g., the CO2/CH4 ratio, reactor temperature, wt.% CaO and wt.% MnO in ceria catalyst, are all employed. The Pareto optimal solution was obtained via the following combination of process parameters: CO2/CH4 ratio = 2.50, reactor temperature = 1179.5 K, wt.% CaO in ceria catalyst = 17.2%, wt.% MnO in ceria catalyst = 6.0%. By using the optimal weighting strategy w1 = 0.2602, w2 = 0.3203, w3 = 0.4295, the simultaneous optimal values for the objective functions were: CH4 conversion = 8.806%, C2 selectivity = 51.468%, C2 yield = 3.275%. Finally, an entropic measure used as a decision-making criterion was found to be useful in mapping the regions of minimal variation among the Pareto optimal responses and the results obtained, and this demonstrates that the optimization weights exert influence on the forecast variation of the obtained response.


Author(s):  
Michaela Beranová ◽  
Dana Martinovičová

In economics, a cost curve is a graph of the costs of production as a function of total quantity produced. In a free market economy, these curves are used by the entities to find the optimal point of production, where they make the highest profits. There exist several different types of cost curves, while each of them is relevant to a different area of economics. In the article, authors are focused on solution of cost-functions modelling, both short-run cost function and long-run cost function under circumstances of risk and uncertainty. Considerations about factors of risk and uncertainty are based on an irrefutable fact that companies are not separate entities taken out of surrounding environment; entities operate in global world where many random factors are influencing the processes in companies while the number of these random factors is ad infinitum. The fact that estimation of cost functions' parameters are realized from past data is the basis of the considerations about planning of future scope of production based on these functions. Especially for the long-run cost functions it is impossible to leave out all the random influences. Their quantification is derived from aposteriori probabilistic approach according to Bayesian Theorem.


Author(s):  
Ren-Xia Chen ◽  
Shi-Sheng Li

We investigate a competitive two-agent scheduling problem in the setting of proportionate flow shop, where the job processing times are machine-independent. The scheduling criterion of one agent is to minimize its total weighted late work, and the scheduling criterion of the other agent is to minimize its total weighted number of late jobs. The goal is to find the Pareto-optimal curve (i.e., the set of all Pareto-optimal points) and identify a corresponding Pareto-optimal schedule for each Pareto-optimal point. An exact pseudo-polynomial-time algorithm and an [Formula: see text]-approximate Pareto-optimal curve are designed to solve the problem, respectively.


2011 ◽  
pp. 65-87 ◽  
Author(s):  
A. Rubinstein

The article considers some aspects of the patronized goods theory with respect to efficient and inefficient equilibria. The author analyzes specific features of patronized goods as well as their connection with market failures, and conjectures that they are related to the emergence of Pareto-inefficient Nash equilibria. The key problem is the analysis of the opportunities for transforming inefficient Nash equilibrium into Pareto-optimal Nash equilibrium for patronized goods by modifying the institutional environment. The paper analyzes social motivation for institutional modernization and equilibrium conditions in the generalized Wicksell-Lindahl model for patronized goods. The author also considers some applications of patronized goods theory to social policy issues.


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