In this paper, using the Data Envelopment Analysis (DEA), we have measured the technical efficiency of cricket teams in the Indian Premier League. Taking the data for the 2009 season, the input used by the teams is ap...In this paper, using the Data Envelopment Analysis (DEA), we have measured the technical efficiency of cricket teams in the Indian Premier League. Taking the data for the 2009 season, the input used by the teams is approached by the total expenses which include players’ wage bill and wage of the support staff and other miscellaneous expenses. Output is measured by the points awarded, net run rate, profit and revenues. Efficiency scores are highly correlated with the performance in the league with a few exception, and when decomposing inefficiency into technical inefficiency and scale inefficiency it can be shown that the largest part of inefficiency can be explained by suboptimal scale of production and ineffficient transformation of inputs into outputs.展开更多
The paper gives an optimization model for a special type of exercise session, circuit training. Circuit training involves a series of exercises performed in rotation with minimal rest. The goal of our model is to mini...The paper gives an optimization model for a special type of exercise session, circuit training. Circuit training involves a series of exercises performed in rotation with minimal rest. The goal of our model is to minimize the total circuit time while accomplishing a number of training goals. Our primary model is a linear integer program;additional constraints are added for muscle group and intensity requirements. The model is implemented and tested on algebraic modeling language AMPL. Our computational results show that the model can return an exercise schedule for a typical real-life data set within a few seconds.展开更多
Scheduling a sports tournament is a complex optimization problem,which requires a large number of hard constraints to satisfy.Despite the availability of several such constraints in the literature,there remains a gap ...Scheduling a sports tournament is a complex optimization problem,which requires a large number of hard constraints to satisfy.Despite the availability of several such constraints in the literature,there remains a gap sincemost of the new sports events pose their own unique set of requirements,and demand novel constraints.Specifically talking of the strictly time bound events,ensuring fairness between the different teams in terms of their rest days,traveling,and the number of successive games they play,becomes a difficult task to resolve,and demands attention.In this work,we present a similar situation with a recently played sports event,where a suboptimal schedule favored some of the sides more than the others.We introduce various competitive parameters to draw a fairness comparison between the sides and propose a weighting criterion to point out the sides that enjoyed this schedule more than the others.Furthermore,we use root mean squared error between an ideal schedule and the actual ones for each side to determine unfairness in the distribution of rest days across their entire schedules.The latter is crucial,since successively playing a large number of games may lead to sportsmen burnout,which must be prevented.展开更多
文摘In this paper, using the Data Envelopment Analysis (DEA), we have measured the technical efficiency of cricket teams in the Indian Premier League. Taking the data for the 2009 season, the input used by the teams is approached by the total expenses which include players’ wage bill and wage of the support staff and other miscellaneous expenses. Output is measured by the points awarded, net run rate, profit and revenues. Efficiency scores are highly correlated with the performance in the league with a few exception, and when decomposing inefficiency into technical inefficiency and scale inefficiency it can be shown that the largest part of inefficiency can be explained by suboptimal scale of production and ineffficient transformation of inputs into outputs.
文摘The paper gives an optimization model for a special type of exercise session, circuit training. Circuit training involves a series of exercises performed in rotation with minimal rest. The goal of our model is to minimize the total circuit time while accomplishing a number of training goals. Our primary model is a linear integer program;additional constraints are added for muscle group and intensity requirements. The model is implemented and tested on algebraic modeling language AMPL. Our computational results show that the model can return an exercise schedule for a typical real-life data set within a few seconds.
基金The authors are grateful to the Deanship of Scientific Research at King Saud University,Saudi Arabia for funding this work through the Vice Deanship of Scientific Research Chairs:Chair of Pervasive and Mobile Computing.
文摘Scheduling a sports tournament is a complex optimization problem,which requires a large number of hard constraints to satisfy.Despite the availability of several such constraints in the literature,there remains a gap sincemost of the new sports events pose their own unique set of requirements,and demand novel constraints.Specifically talking of the strictly time bound events,ensuring fairness between the different teams in terms of their rest days,traveling,and the number of successive games they play,becomes a difficult task to resolve,and demands attention.In this work,we present a similar situation with a recently played sports event,where a suboptimal schedule favored some of the sides more than the others.We introduce various competitive parameters to draw a fairness comparison between the sides and propose a weighting criterion to point out the sides that enjoyed this schedule more than the others.Furthermore,we use root mean squared error between an ideal schedule and the actual ones for each side to determine unfairness in the distribution of rest days across their entire schedules.The latter is crucial,since successively playing a large number of games may lead to sportsmen burnout,which must be prevented.
