System Dynamics Team Assignment 1
A. Tom has just created a new consulting company and hired five consulting rookies. Given that a rookie needs to be trained for an average of eight months before she becomes experienced, how many of the five rookies will become experienced consultants after 12 months? In your assignment solutions document, please include the model diagram, documented equations, and a graph of model behavior.
Four rookie consultants will become experienced after 12 months. This results is based on the randomized normal distribution formula which states that the brightest consultants can become experience in as early as the 1st month, the average consultant will become seasoned by the 8th month, and the slowest learners will become seasoned by the 15th month. The standard deviation for the model is one.
B. Because Tom did not realize the long time delay between hiring consultants and training them, he was unable to work on enough consulting projects, and his company went bankrupt. Tom therefore decides to start another company, but this time, he at first recruits 60 workers who already have consulting experience and do not need to be trained. He knows, however, that about six of his workers will retire or quit the company every year, so he makes a decision to also hire six rookies every year. What happens to the number of experienced consultants? Why? Again, in your assignment solutions document, please include the model diagram, documented equations, and a graph of model behavior.
The number of experienced consultants declines from 60 to about 57 in the first 12 months and from 57 to 56 over the next 12 months. The number of consultants then remains about constant after the first 24 months. Our model is based on a time horizon of 48 months. The decline is larger in the initial stages because there is lag between the time when the new consultants get hired and when they become experienced. The rate of hiring matches the rate of retiring, so you would expect the number of
Four rookie consultants will become experienced after 12 months. This results is based on the randomized normal distribution formula which states that the brightest consultants can become experience in as early as the 1st month, the average consultant will become seasoned by the 8th month, and the slowest learners will become seasoned by the 15th month. The standard deviation for the model is one.
B. Because Tom did not realize the long time delay between hiring consultants and training them, he was unable to work on enough consulting projects, and his company went bankrupt. Tom therefore decides to start another company, but this time, he at first recruits 60 workers who already have consulting experience and do not need to be trained. He knows, however, that about six of his workers will retire or quit the company every year, so he makes a decision to also hire six rookies every year. What happens to the number of experienced consultants? Why? Again, in your assignment solutions document, please include the model diagram, documented equations, and a graph of model behavior.
The number of experienced consultants declines from 60 to about 57 in the first 12 months and from 57 to 56 over the next 12 months. The number of consultants then remains about constant after the first 24 months. Our model is based on a time horizon of 48 months. The decline is larger in the initial stages because there is lag between the time when the new consultants get hired and when they become experienced. The rate of hiring matches the rate of retiring, so you would expect the number of