Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Wq = ( rho ^ 2 ) / ( mu * ( 1 - rho ) ) ; rho = lambda / ( mu )
Wq rho mu rho;
rho lambda mu;
Lq lambda Wq;
Ws Wq mu; Average time in System
Ls Ws lambda;
plot: Wq Probability that arrival must wait against thd number of servers
xlabelNumber of Servers c
ylabelAverage hold LinesWq
xlim
ylim Assignment pts Create a plot of the probability of dropping a customer vs the number of call hold lines. The number of call hold lines should range from to Set the number of customer service agents to the smallest value that meets requirements, see above. Assignment pts What is the smallest number of hold lines that meet the system requirements? Using the fprintf command to display your results. Assignment pts Characterize the interplay of hold lines and customer service agents by computing a contour plot of customer wait time in the queue and overlay a contour plot of probability of drop. Make the contour lines more readable by multiplying the drop probabilities by Hint: Look at the example code in the MATLAB contour function documentation. Assignment pts Use the contour plot above to refine your design point for the number of customer service agents cdesign and the number of hold lines Nholddesign Report cdesign and Nholddesign below using the fprintf command. Hint: The contours pointing upward lefttoright correspond to the probability of being dropped. Conversely, the contour lines pointing downward are the probability of drop. Assignment pts Use the MMCQ function you created to compute the expected performance for your system. Report the average wait time, average time in the queue, the probability of a dropped call, and the average agent utilization. Make sure each result is labeled with the correct Assignment pts Create a bar chart of the state probabilities. Multiply the state probabilities by to make the result easier to read. Make sure to properly label the states and the axis on the graph. Hint: Lookup the bar command in the MATLAB documentation.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started