Engineering Question – 20210627f

EIND 422 Due: June 29th at 10:00 PM You need to submit in a copy of the SIMIO file(s) and report in the Exam 2 Assignment Folder. (100 points) Exam Policies: Consider a process with two different types of entities. Assume arrivals for each entity type vary through the day. Table 1 contains the non-stationary Poisson Process arrival rates for entities of type 1 and type 2. Please note that λ1 and λ2 are already expressed as hourly rates.Assume all entities travel at the default speed of 1.4 meters/second. Table 1: Hourly arrival rates (entities/hr.) Time Period λ1 λ2 8:00 a.m. – 11:00 a.m. 9 12 11:00 a.m. – 3:00 p.m. 11 20 3:00 p.m. – 7:00 p.m. 8 12 7:00 p.m. – 10:00 p.m. 7 14 Upon arrival, entities type 1 travel 4 meters to Station 1A where they are processed following a triangular distribution with parameters (2, 5, 7) minutes. Similarly, type 2 entities travel 9 meters and arrive at Station 1B where all entities are processed following a triangular distribution with parameters (3, 6, 9) minutes. All entities (type 1 and type 2) then travel 5 meters to Station 2 where they are all processed following a triangular distribution with parameters (2, 3, 4) minutes. Immediately after exiting Station 2, entities type 1 return to Station 1A via a path that is 7 meters long whereas entities type 2 proceed to Station 3 through a path that is 5 meters long. Entities type 1 entering Station 1A for the second time are processed following an exponential distribution with mean processing time of 3 minutes and then exit the system through a path that is 10 meters long. Entities type 2 going through Station 3 are processed following an exponential distribution with mean 5 minutes. Station 3 involves a machine which occasionally fails. Mean time to failure (up time) follow an exponential distribution with mean of 3 hours; mean time to repair (down time) also follow an exponential distribution with mean of 20 minutes.Once entities type 2 finish processing at Station 3, they exit the system through a path that is 5 meters long. Station 1A, Station 1B and Station 2 are human processes with varying staffing levels through the day. Table 2 contains the staffing data of these stations through the day. Table 2: Staffing data Time Period Station 1A Station 1B Station 2 8:00 a.m. – 11:00 a.m. 1 1 2 11:00 a.m. – 3:00 p.m. 2 2 3 3:00 p.m. – 7:00 p.m. 2 3 2 7:00 p.m. – 10:00 p.m. 1 2 1 Assume the process starts at 8:00 a.m. and ends at 10:00 p.m. and you can ignore entities that are still in the system at closing time (probably not the best customer service!). Part A Part B The process engineer is considering firing one of the employees at Station 1B that currently works from 3:00 p.m. to 10:00 p.m. changing the staffing of Station 1B according to Table 3. Table 3: Proposed staffing data Time Period Station 1A Station 1B Station 2 8:00 a.m. – 11:00 a.m. 1 1 2 11:00 a.m. – 3:00 p.m. 2 2 3 3:00 p.m. – 7:00 p.m. 2 2 2 7:00 p.m. – 10:00 p.m. 1 1 1 Final notes: (0.5) Title (0.5) Name: I. Introduction (27) Table 1- Summary of current system inputs Input Value # Entities to simulate or simulation length Examples: 100 entities 60 minutes # of servers Inter-arrival time Note: 1 row for each entity type Distribution Example: Expo (25 min.) Service times Note: One row for each server class. Distribution Figure 1- Generic Process flow chart Or Figure 2- Generic Block Diagram II. Methods (14) Figure 3- Model 5-2 in 2D Figure 4- Model 5-2 in 3D III. Results (30) IV. Discussion (20) V. Conclusions (8) Please note that tables are labeled on top and figures are labeled on bottom. Use only the categories of “table” and/or “figure”.Pictures, diagrams, charts, plots, etc. all fall under the “figures” category https://textbook.simio.com/SASMAA/index.html Requirements: Please read the instructions | .doc file This exam is to be completed individually. Do not accept or give assistance. Use the Simio report guidelines (report template provided in pages 4-6 with grading scheme). Submit the electronic copy of the report along with the Simio files (Part A and Part B) in D2L. The professor will not be available to answer questions (assumptions, modeling, or results interpretation type). Please, express all output time metrics in minutes. Develop a Simio model of this system.Performance metrics of interest include: Run the simulation model for 30 replications with 1 hour warm-up period and a 95% confidence level. Finally, animate the simulation to make it look attractive. average time type 1 entities spend in the system average time type 2 entities spend in the system scheduled utilizations of the servers at Station 1A, Station 1B and Station 2 Make the changes to the simulation model to study the potential effects of such staffing change. Run both models (Part A and Part B) for 250 replications. As before, use 1-hour warm-up period and a 95% confidence level. What can you conclude from this change? Will firing the employee affect the system in terms of average time in system for entities type 1 and type 2? What recommendation would you make in terms of firing the employee? What other recommendations would you make? Methods section is the same for both parts since the change is just on the staffing. Results section should contain:
Table summarizing results for Part A (30 replications). Don’t forget the 95% confidence intervals.
Table summarizing results for Part B (both systems for 250 replications). Table summarizing results for Part A (30 replications). Don’t forget the 95% confidence intervals. Table summarizing results for Part B (both systems for 250 replications). Address questions above in part A-1 (what did you get for the metrics of interest?) and B-3 in the Discussion section. Please, do not forget units and Confidence Intervals! Please, express all output time metrics in minutes. (6) Problem description (5) Assumptions (4) System initial state- number of entities in the system, # of servers, server status (4) Table summarizing the current system inputs.For example: (8) A flowchart or block diagram of the process. For example: (10) Detailed description on how you simulated the problem. (4) Include 2 print screens for the SIMIO model from part A (part B should look alike); one in 2D and one in 3D. For example: (10)Table summarizing results for initial system when running both for 30 replications. (20)Table summarizing results for both models when running both for 250 replications. (8) Answer the questions asked. (6) Discuss any limitation(s) of the model. (6) Also, include any comments or observations you might have. (5) What can you say from the simulation results? (3)If you were a consultant, what recommendations would you make?