Families of homeomorphisms, relative metrics, and caratheodory's theorem

1972 ◽  
Vol 13 (2) ◽  
pp. 254-265
Author(s):  
V. P. Luferenko ◽  
G. D. Suvorov
Keyword(s):  
Relative Metrics ◽  
Carathéodory’S Theorem

The Impact of a BI-Supported Performance Measurement System on a Public Police Force

2019 ◽  
pp. 509-527
Author(s):  
Elad Moskovitz ◽  
Adir Even
Keyword(s):  
Performance Measurement ◽  
Measurement System ◽  
Business Intelligence ◽  
Police Force ◽  
Performance Measurement System ◽  
Moderation Effect ◽  
Relative Metrics ◽  
Time Period ◽  
The Impact

Performance measurement, as an effective tool for implementing organizational strategy and assisting ongoing control and surveillance, is broadly adopted today. The performance measurement system (PMS) explored in this case study was implemented, using business intelligence (BI) technologies, for a public police force. The system lets police commanders view and analyze the performance scores of their own units and get feedback on the success of their activities. The study examines the system's impact, through analysis of the metric results over a time period of five years. The results show that the vast majority of the metrics examined indeed improved. Further, the results underscore the moderation effect of relative metrics weights, as well as the different behavior of metrics that reflect activity versus those that reflect outcomes. The study underscores both the positive and the negative aspects of those results, and discusses their implications for future PMS implementation with BI technologies.

Carathéodory's Theorem

1972 ◽  
Vol 15 (2) ◽  
pp. 293-293 ◽  
Author(s):  
W. D. Cook ◽  
R. J. Webster
Keyword(s):  
Carathéodory’S Theorem ◽  
Simple Generalization

Despite the abundance of generalizations of Carathéodory's theorem occurring in the literature (see [1]), the following simple generalization involving infinite convex combinations seems to have passed unnoticed. Boldface letters denote points of Rn and Greek letters denote scalars.

scholarly journals On Nonsmooth Semi-Infinite Minimax Programming Problem with(Φ,ρ)-Invexity

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
X. L. Liu ◽  
G. M. Lai ◽  
C. Q. Xu ◽  
D. H. Yuan
Keyword(s):  
Optimality Conditions ◽  
Programming Problem ◽  
Necessary Optimality Conditions ◽  
Duality Theorems ◽  
Converse Duality ◽  
Minimax Programming ◽  
Carathéodory’S Theorem

We are interested in a nonsmooth minimax programming Problem (SIP). Firstly, we establish the necessary optimality conditions theorems for Problem (SIP) when using the well-known Caratheodory's theorem. Under the Lipschitz(Φ,ρ)-invexity assumptions, we derive the sufficiency of the necessary optimality conditions for the same problem. We also formulate dual and establish weak, strong, and strict converse duality theorems for Problem (SIP) and its dual. These results extend several known results to a wider class of problems.

Relative measures in service research

2015 ◽  
Vol 29 (6/7) ◽  
pp. 448-452 ◽  
Author(s):  
Lerzan Aksoy ◽  
Jens Hogreve ◽  
Bart Lariviere ◽  
Andrea Ordanini ◽  
Chiara Orsingher
Keyword(s):  
Theory And Practice ◽  
Service Research ◽  
Brand Preference ◽  
Firm Resources ◽  
Content Type ◽  
Customer Perceptions ◽  
Relative Metrics ◽  
Novel Approach ◽  
Measurement Practices ◽  
Key Customer

Purpose – The purpose of this paper is to introduce an alternative novel approach to measurement of customer perceptions of the service experience that links closely with customer loyalty outcomes. Design/methodology/approach – This conceptual paper draws upon prior theory and empirical research to investigate the relevance of using relative metrics compared to absolute metrics in service research. Findings – The findings upon which this paper draws upon show that measuring customer satisfaction, likelihood to recommend, brand preference using absolute metrics explain a very small per cent of the variance in key customer outcome measures such as share of wallet. Instead, a relative approach to these and other measures in service research is proposed. Practical implications – Although business practice has embraced relative measurement much more extensively than has scientific research, the vast majority of customer experience measurement programs today continue to employ absolute measures resulting in suboptimal allocation of firm resources. This paper is a call to rethink these current measurement practices. Originality/value – It is one of the first papers to argue for changing the widely employed use of absolute metrics in theory and practice in favor of relative metrics. Application to other service research theories is discussed.

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