Consider the following queuing systems:System 1 An average of 40 customers arrive each hour; interarrival times are exponential. Customers must com-plete two types of service before leaving the system. The first server takes an average of 30 seconds (exponentiallydistributed) to perform type 1 service. After waiting in line, each customer obtains type 2 service (exponentially distrib-uted with a mean of 1 minute) from a single server. After completing type 2 service, a customer leaves the system.System 2 The arrival process for system 2 is identical to the interarrival process for system 1. In system 2, a cus-tomer must complete only one type of service. Service time averages 1.5 minutes and is exponentially distributed. Twoservers are available.In which system does a typical customer spend less time?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Consider the following queuing systems:
System 1 An average of 40 customers arrive each hour;
interarrival times are exponential. Customers must com-
plete two types of service before leaving the system. The
first server takes an average of 30 seconds (exponentially
distributed) to perform type 1 service. After waiting in line,
each customer obtains type 2 service (exponentially distrib-
uted with a mean of 1 minute) from a single server. After
completing type 2 service, a customer leaves the system.
System 2 The arrival process for system 2 is identical to
the interarrival process for system 1. In system 2, a cus-
tomer must complete only one type of service. Service time
averages 1.5 minutes and is exponentially distributed. Two
servers are available.
In which system does a typical customer spend less time?
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