scholarly journals CONTROL OF A COMPLEX OBJECTS, STATES OF WHICH ARE DESCRIBING BY THE MATRIX RATING MECHANISM

2020 ◽  
pp. 114-139
Author(s):  
Aleksander Alekseev ◽  
Keyword(s):  
Control Problem ◽  
Cost Function ◽  
Algebraic Equation ◽  
Production Function ◽  
Control Object ◽  
Inverse Function ◽  
Second Order ◽  
Cost Functions ◽  
The Cost ◽  
Douglas Production Function

The control problem of a multi-criteria object is considered. Controlled object that has several criteria that are significant for a decision maker. Each criterion characterizes a control object in terms of a particular result of activity or an efficiency indicator. To evaluate the effectiveness of the functioning of the managed facility as a whole, the rating matrix mechanism is used, taking into account all the criteria in the complex. The optimal control problem is formulated as a search for the values ​​of aggregated criteria that provide a given value of a complex indicator with minimal costs for providing values ​​of particular criteria. The generalized cost function was reduced to an equation with one variable. The analytical equation of the level line of the indicator aggregated as a result of the convolution of two criteria is obtained. The line equation is found for an arbitrary binary convolution matrix, including the elements of which are given continuous values. It is shown that the objective function is reduced to a fourth-order polynomial, which can be analytically solved using the Ferrari or Descartes-Euler methods. It is shown that the task of searching for the values of two particular criteria describing the state of the control object for which the complex indicator calculated using the additive-multiplicative approach to complex assessment is equal to the given value and the costs for their provision are minimal, has a solution in general form for arbitrary nondecreasing convolution matrix of two criteria. Particular solutions to the control problem are found using costly functions, which are the inverse function of the Cobb-Douglas production function. It was shown that the cost function of the aggregate indicator has additional terms and is described by an algebraic equation with nonzero coefficients for variables and an additional constant. Based on what it was concluded that the cost functions, which are the inverse function e of the Cobb-Douglas production function, can be applied to control objects that have only two criteria. A similar formulation of the control problem for an arbitrary non-decreasing convolution matrix of two criteria is considered when using the additive-multiplicative approach to aggregation and when using cost functions described by a second-order algebraic equation in general form. As a result of the study, it is shown that the form of the cost function for the aggregated indicator is preserved. Thus, using cost functions in the form of second-order equations, the control problem has a solution in the general form for any number of criteria.

scholarly journals New approach to the retrieval of AOD and its uncertainty from MISR observations over dark water

2018 ◽  
Vol 11 (1) ◽  
pp. 429-439 ◽  
Author(s):  
Marcin L. Witek ◽  
Michael J. Garay ◽  
David J. Diner ◽  
Michael A. Bull ◽  
Felix C. Seidel
Keyword(s):  
Statistical Analysis ◽  
Cost Function ◽  
Entire Range ◽  
Cost Functions ◽  
Retrieval Algorithm ◽  
New Approach ◽  
Aerosol Retrieval ◽  
Operational Algorithm ◽  
Confidence Index ◽  
The Cost

Abstract. A new method for retrieving aerosol optical depth (AOD) and its uncertainty from Multi-angle Imaging SpectroRadiometer (MISR) observations over dark water is outlined. MISR's aerosol retrieval algorithm calculates cost functions between observed and pre-simulated radiances for a range of AODs (from 0.0 to 3.0) and a prescribed set of aerosol mixtures. The previous version 22 (V22) operational algorithm considered only the AOD that minimized the cost function for each aerosol mixture and then used a combination of these values to compute the final, “best estimate” AOD and associated uncertainty. The new approach considers the entire range of cost functions associated with each aerosol mixture. The uncertainty of the reported AOD depends on a combination of (a) the absolute values of the cost functions for each aerosol mixture, (b) the widths of the cost function distributions as a function of AOD, and (c) the spread of the cost function distributions among the ensemble of mixtures. A key benefit of the new approach is that, unlike the V22 algorithm, it does not rely on empirical thresholds imposed on the cost function to determine the success or failure of a particular mixture. Furthermore, a new aerosol retrieval confidence index (ARCI) is established that can be used to screen high-AOD retrieval blunders caused by cloud contamination or other factors. Requiring ARCI ≥0.15 as a condition for retrieval success is supported through statistical analysis and outperforms the thresholds used in the V22 algorithm. The described changes to the MISR dark water algorithm will become operational in the new MISR aerosol product (V23), planned for release in 2017.

scholarly journals MULTI-OBJECTIVE TIME-COST OPTIMIZATION USING COBB-DOUGLAS PRODUCTION FUNCTION AND HYBRID GENETIC ALGORITHM

2015 ◽  
Vol 22 (2) ◽  
pp. 187-198 ◽  
Author(s):  
Zhigang SHEN ◽  
Ashkan HASSANI ◽  
Qian SHI
Keyword(s):  
Production Function ◽  
Cost Optimization ◽  
Hybrid Genetic Algorithm ◽  
Time Cost ◽  
Construction Time ◽  
Optimal Allocations ◽  
Crashing Cost ◽  
New Perspective ◽  
The Cost ◽  
Douglas Production Function

Existing research on construction time-cost tradeoff issues rarely explore the origin of the crashing cost. Crashing cost function was either assumed without much justification, or came from historical data of some real pro­jects. As a result the conclusions of the papers can hardly be used to guide allocations of labor and equipment resources respectively. The authors believe Cobb-Douglas function provides a much-needed piece to modeling the cost functions in the construction time-cost tradeoff problem during the crashing process. We believe this new perspective fills a gap of existing time-cost tradeoff research by considering project duration, labor and equipment cost as parameters of the Cobb- Douglas production function. A case study was presented to show how the proposed framework works. Our conclusion is that introducing Cobb-Douglas function into time-cost tradeoff problem provides us extra capacity to further identify the optimal allocations of labor and equipment resources during crashing.

scholarly journals Improving the methodology for creating a medical service based on the costs of its production

2021 ◽  
Vol 6 (6-2) ◽  
pp. 154-163
Author(s):  
M. V. Makarochkina ◽  
Ya. P. Sandakov ◽  
L. G. Sokolova
Keyword(s):  
Public Sector ◽  
Medical Care ◽  
Production Function ◽  
Medical Service ◽  
Medical Services ◽  
The Public ◽  
Irkutsk Region ◽  
Resource Intensity ◽  
The Cost ◽  
Douglas Production Function

Background. Currently, the multichannel nature of financial flows determines the multivariate methods of payment for medical services, which are also influenced by the type of medical care, conditions, form of its provision, and type of institution. As a result, the cost of a medical service can vary significantly not only in different, but even in one medical organization. The lack of a unified methodological approach puts healthcare organizations in unequal conditions, as a result, public sector medical organizations are forced to seek additional resources to provide medical care to the population that meets the standards. None of the current methods for determining the cost of a medical service reflects its actual cost, since it does not take into account the structure of production costs.The aim. To improve the methodology for the formation of the cost of public services in the health care system, taking into account their resource intensity.Materials and methods. The study included the analysis of the forms of state statistical observation of medical organizations of the Irkutsk region, reports of the federal and regional accounting chambers, industry regulations, materials of scientific periodicals, conferences, monographic studies, including on the Internet; comparison of the cost of medical services in various medical organizations of the Irkutsk region; modeling methods for calculating the cost of medical services using the Cobb – Douglas production function.Results. A unified classification of medical services based on their resource intensity and an improved method of forming the cost of medical services based on the Cobb – Douglas production function are proposed, revealing the dependence of the volume of production on two factors of production – capital and labor; the cost of medical services was calculated using the example of real services provided in one of the medical organizations of the public health sector of the Irkutsk region.Conclusions. The proposed method for determining the cost of a medical service based on its resource intensity makes it possible to determine the real cost of a medical service, the full reimbursement of which will increase the financial stability of medical organizations in the public sector, which will be reflected in the improvement of their material and technical base and, as a result, will increase the quality of medical services.

scholarly journals Assessing worker performance using dynamic cost functions in human robot collaborative tasks

2019 ◽  
Vol 234 (1) ◽  
pp. 289-301 ◽  
Author(s):  
Thomas Smith ◽  
Panorios Benardos ◽  
David Branson
Keyword(s):  
Cost Function ◽  
Completion Time ◽  
Cost Functions ◽  
Initial Development ◽  
Worker Performance ◽  
Manufacturing Assembly ◽  
And Performance ◽  
The Cost ◽  
Assembly Tasks ◽  
Human Robot Collaboration

The aim of this research is to develop a framework to allow efficient human robot collaboration on manufacturing assembly tasks based on cost functions that quantify capabilities and performance of each element in a system and enable their efficient evaluation. A proposed cost function format is developed along with initial development of two example cost function variables, completion time and fatigue, obtained as each worker is completing assembly tasks. The cost function format and example variables were tested with two example tasks utilizing an ABB YuMi Robot in addition to a simulated human worker under various levels of fatigue. The total costs produced clearly identified the best worker to complete each task with these costs also clearly indicating when a human worker is fatigued to a greater or lesser degree than expected.

Delta's New Song: A Case on Cost Estimation in the Airline Industry

2004 ◽  
Vol 19 (3) ◽  
pp. 345-358 ◽  
Author(s):  
Shane S. Dikolli ◽  
Karen L. Sedatole
Keyword(s):  
Cost Function ◽  
Cost Estimation ◽  
Airline Industry ◽  
Low Cost ◽  
Opportunity To Learn ◽  
Cost Functions ◽  
Function Estimation ◽  
Cost Category ◽  
Income Statement ◽  
The Cost

This case provides the opportunity to use various empirical techniques (i.e., high-low method, simple regression, and multiple regression) in the estimation of cost functions. The case uses the airline industry as the setting for this analysis and, in particular, focuses on the ef forts of Delta Airlines to plan for salaries, the cost category that dominates its income statement. The case provides the data and the opportunity to learn the details of cost function estimation, but more importantly, it provides a rich setting in which issues related to the interpretation of these cost functions can be discussed. Finally, the entry of Delta into the low-cost carrier segment with its formation of Song provides a unique opportunity to think about how the cost function of an established full-service airline compares to that of a low-fare startup. Data from successful newcomer JetBlue is used to illustrate these differences. More generally, the case shows how the use of historical costs and cost estimation techniques can facilitate decision making about entry into new product markets.

scholarly journals Inverse KKT: Learning cost functions of manipulation tasks from demonstrations

2017 ◽  
Vol 36 (13-14) ◽  
pp. 1474-1488 ◽  
Author(s):  
Peter Englert ◽  
Ngo Anh Vien ◽  
Marc Toussaint
Keyword(s):  
Optimal Control ◽  
Cost Function ◽  
Hilbert Spaces ◽  
Reproducing Kernel ◽  
Cost Functions ◽  
Quadratic Program ◽  
Relevant Task ◽  
Kernel Hilbert Spaces ◽  
The Cost ◽  
Linear Parameterization

Inverse optimal control (IOC) assumes that demonstrations are the solution to an optimal control problem with unknown underlying costs, and extracts parameters of these underlying costs. We propose the framework of inverse Karush–Kuhn–Tucker (KKT), which assumes that the demonstrations fulfill the KKT conditions of an unknown underlying constrained optimization problem, and extracts parameters of this underlying problem. Using this we can exploit the latter to extract the relevant task spaces and parameters of a cost function for skills that involve contacts. For a typical linear parameterization of cost functions this reduces to a quadratic program, ensuring guaranteed and very efficient convergence, but we can deal also with arbitrary non-linear parameterizations of cost functions. We also present a non-parametric variant of inverse KKT that represents the cost function as a functional in reproducing kernel Hilbert spaces. The aim of our approach is to push learning from demonstration to more complex manipulation scenarios that include the interaction with objects and therefore the realization of contacts/constraints within the motion. We demonstrate the approach on manipulation tasks such as sliding a box, closing a drawer and opening a door.

scholarly journals Production Function and Robotization - How Can CES Technology Help?

2021 ◽  
Author(s):  
Françoise Larbre
Keyword(s):  
Production Function ◽  
Returns To Scale ◽  
Production Functions ◽  
Elasticity Of Substitution ◽  
Cost Functions ◽  
Helpful Tool ◽  
Joint Product ◽  
Short Run ◽  
The Cost

Depending on the workers qualification, the use of robots is perceived either as a helpful tool or as a competitor. We analyze the substitution of capital for labor, including the case where the product is entirely made by robots. We use CES production functions and their derived cost functions (the later being surprisingly missing in the literature). We focus on short-run and the case of an elasticity of substitution greater than 1. We highlight a level of product for which the cost is identical regardless of the factor used. As a joint product, we provide a foundation to cost functions exhibiting first increasing and then decreasing returns to scale (a so far missing justification to the usually assumed shape of cost functions).

scholarly journals Gross Margin and Factor Analysis of Watermelon Production in Patuakhali District, Bangladesh

2018 ◽  
pp. 1-8
Author(s):  
Bishwajit Sarker ◽  
Shankar Majumder ◽  
Sheikh Mohammad Sayem ◽  
Md. Shaikh Farid
Keyword(s):  
Production Function ◽  
Tertiary Education ◽  
Productivity Index ◽  
Farm Size ◽  
Factor Productivity ◽  
Gross Margin ◽  
Multi Stage ◽  
The Cost ◽  
Margin Analysis ◽  
Douglas Production Function

This study examined the Gross margin and factor productivity of watermelon production in Patuakhali district, Bangladesh. A multi-stage stratified sampling design had been used for the selection of the watermelon growing farmers.  Data were obtained with the aid of a pre-tested structured questionnaire. The socio-economic characteristics of the respondents was described and categorized by Descriptive statistics, Gross margin analysis was used to analyze the cost and returns to watermelon production and Cobb Douglas production function was used to evaluate the input factor productivity. Results showed that the farmers are relatively middle-aged with an average age of 41 years with a sizable number of the respondents (1.7%) having passed through tertiary education. It was also observed that the farmers are typically smallholders with an average farm size of 50-249 decimal. The result of the gross margin analysis showed that watermelon production is profitable with a gross margin of Tk 756 per decimal. The result of the Cobb Douglas production function shows that the coefficients of cost of seed (0.137), cost of tillage (0.227), cost of irrigation (0.304), cost of labour (0.156), and cost of pesticide (0.305) were positively significant at 5% and 1%. The overall factor productivity index is 1.19 implying an increasing return to scale in water melon production in the study area. However, lack of irrigation facility and pesticide were identified as major production constraints.

scholarly journals One problem, too many solutions: How costly is honest signalling of need?

2017 ◽  
Author(s):  
Szabolcs Számadó ◽  
Dániel Czégel ◽  
István Zachar
Keyword(s):  
Cost Function ◽  
Specific Model ◽  
Cost Functions ◽  
Unique Equilibrium ◽  
Offspring Quality ◽  
Honest Signalling ◽  
Signalling Theory ◽  
The Cost ◽  
Model Support ◽  
Signalling Games

AbstractThe “cost of begging” is a prominent prediction of costly signalling theory, suggesting that offspring begging has to be costly in order to be honest. More specifically, it predicts that there is a single cost function for the offspring (depending on e.g. offspring quality) that maintains honesty and it must be proportional to parent’s fitness loss. Here we show another interpretation of the cost. We demonstrate that cost, proportional to the fitness gain of the offspring, also results in honest signalling. Since the loss of the parent does not necessarily coincide with the gain of the offspring, it is provable that any linear combination of the two cost functions (one proportional to parent’s loss, one to offspring’s gain) also leads to honest signalling. Our results, applied for a specific model, support the previous general conclusion that signalling games have different cost functions for different equilibria. Consequently, costly signalling theory cannot predict a unique equilibrium cost in signalling games especially in case of parent-offspring conflicts. As an important consequence, any measured equilibrium cost in real cases has to be compared both to the parent’s fitness loss and to the offspring’s fitness gain in order to provide meaningfully interpretation.

scholarly journals New approach to the retrieval of AOD and its uncertainty from MISR observations over dark water

2017 ◽  
Author(s):  
Marcin L. Witek ◽  
Michael J. Garay ◽  
David J. Diner ◽  
Michael A. Bull ◽  
Felix C. Seidel
Keyword(s):  
Statistical Analysis ◽  
Cost Function ◽  
Entire Range ◽  
Cost Functions ◽  
Retrieval Algorithm ◽  
New Approach ◽  
Aerosol Retrieval ◽  
Operational Algorithm ◽  
Confidence Index ◽  
The Cost

Abstract. A new method for retrieving aerosol optical depth (AOD) and its uncertainty from Multi-angle Imaging SpectroRadiometer (MISR) observations over dark water is outlined. MISR’s aerosol retrieval algorithm calculates cost functions between observed and pre-simulated radiances for a range of AODs (from 0.0 to 3.0) and a prescribed set of aerosol mixtures. The previous Version 22 (V22) operational algorithm considered only the AOD that minimized the cost function for each aerosol mixture, then used a combination of these values to compute the final, best estimate AOD and associated uncertainty. The new approach considers the entire range of cost functions associated with each aerosol mixture. The uncertainty of the reported AOD depends on a combination of a) the absolute values of the cost functions for each aerosol mixture, b) the widths of the cost function distributions as a function of AOD, and c) the spread of the cost function distributions among the ensemble of mixtures. A key benefit of the new approach is that, unlike the V22 algorithm, it does not rely on arbitrary thresholds imposed on the cost function to determine the success or failure of a particular mixture. Furthermore, a new Aerosol Retrieval Confidence Index (ARCI) is established that can be used to screen high-AOD retrieval blunders caused by cloud contamination or other factors. Requiring ARCI ≥ 0.15 as a condition for retrieval success is supported through statistical analysis and outperforms the thresholds used in the V22 algorithm. The described changes to the MISR dark water algorithm will become operational in the new MISR aerosol product (V23), planned for release in 2017.

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