# Question: For one new product to be produced by the A

For one new product to be produced by the A plus Company, bushings will need to be drilled into a metal block and cylindrical shafts inserted into the bushings. The shafts are required to have a radius of at least 1.0000 inch, but the radius should be as little larger than this as possible. With the proposed production process for producing the shafts, the probability distribution of the radius of a shaft has a triangular distribution with a minimum of 1.0000 inch, a most likely value of 1.0010 inches, and a maximum value of 1.0020 inches. With the proposed method of drilling the bushings, the probability distribution of the radius of a bushing has a normal distribution with a mean of 1.0020 inches and a standard deviation of 0.0010 inch. The clearance between a bushing and a shaft is the difference in their radii. Because they are selected at random, there occasionally is interference (i.e., negative clearance) between a bushing and a shaft to be mated.

Management is concerned about the disruption in the production of the new product that would be caused by this occasional interference. Perhaps the production processes for the shafts and bushings should be improved (at considerable cost) to lessen the chance of interference. To evaluate the need for such improvements, management has asked you to determine how frequently interference would occur with the currently proposed production processes.

Estimate the probability of interference by using ASPE to perform 1,000 trials of a simulation on a spreadsheet.

Management is concerned about the disruption in the production of the new product that would be caused by this occasional interference. Perhaps the production processes for the shafts and bushings should be improved (at considerable cost) to lessen the chance of interference. To evaluate the need for such improvements, management has asked you to determine how frequently interference would occur with the currently proposed production processes.

Estimate the probability of interference by using ASPE to perform 1,000 trials of a simulation on a spreadsheet.

## Answer to relevant Questions

Reconsider Prob. 20.4-6 involving the game of craps. Now the objective is to estimate the probability of winning a play of this game. If the probability is greater than 0.5, you will want to go to Las Vegas to play the game ...The William Graham Entertainment Company will be opening a new box office where customers can come to make ticket purchases in advance for the many entertainment events being held in the area. Simulation is being used to ...Reconsider Prob. 20.3-1. Suppose now that you want to convert these random integer numbers to (approximate) uniform random numbers. For each of the three parts, give a formula for this conversion that makes the approximation ...View the first demonstration example (Simulating a Basic Queueing System) in the simulation area of your OR Tutor. (a) Enter this same problem into the interactive procedure for simulation in your IOR Tutorial. Interactively ...Refer to the scenario described in Prob. 3.4-10 (Chap. 3), but ignore the instructions given there. Focus instead on using spreadsheet modeling to address Larry Edison’s problem by doing the following. (a) Visualize where ...Post your question