Weekly Research Assignments (Always due by Saturday noon)
WEEK 1: (Due: 02-01-2020)
Impacts of additive manufacturing on supply chain flow: A simulation approach in healthcare industry
Eren Özceylan, Cihan Çetinkaya, Neslihan Demirel and Ozan Sabırlıoglu
Logistics 2018, 2, 1
doi: 10.3390/logistics2010001
WEEK 2: (Due: 02-08-2020)
Applications of Discrete-event Simulation to Support Manufacturing Logistics Decision-making: A Survey
Marco Semini, Hakon Fauske and Jan Ola Strandhagen
Proceedings of the 2006 Winter Simulation Conference
L. F. Perrone, F. P. Wieland, J. Liu, B. G. Lawson, D. M. Nicol, and R. M. Fujimoto, eds.
doi: 10.3390/logistics2010001
WEEK 3: (Due: 02-15-2020)
Your selection. Preferably related to your Senior Design project. The selection must be approved by the instructor at least a week before due date.
Assignment for those who have not secured an optional article:
J Stoldt, A Schlegel & M Putz (2016) Enhanced integration of energy-related considerations in discrete event
simulation for manufacturing applications, Journal of Simulation, 10:2, 113-122
DOI: 10.1057/jos.2015.24
WEEK 4: (Due: 02-22-2020)
Integrating human factors into discrete event simulation: a proactive approach to simultaneously design for system performance and employees’ well being
Petrit (Pete) Dode, Michael Greig, Saeed Zolfaghari & W. Patrick Neumann
nternational Journal of Production Research Volume 54, 2016 - Issue 10 Pages 3105-3117
doi: 10.1080/00207543.2016.1166287
WEEK 5: (Due: 02-29-2020)
Use of a discrete-event simulation in a Kaizen event: A case study in healthcare
Chantal Baril, Viviane Gascon, Jonathan Miller, and Nadine Côtéd
nternational Journal of Production Research Volume 54, 2016 - Issue 10 Pages 3105-3117
doi: 10.1016/j.ejor.2015.08.036
WEEK 6: (Due: 03-07-2020)
Your selection. Preferably related to your Senior Design project. The selection must be approved by the instructor at least a week before due date.
Assignment for those who have not secured an optional article:
Needy boarding patients in emergency departments: An exploratory case study using discrete-event simulation
Kim De Boeck, Raïsa Carmen, and Nico Vandaele
Operations Research for Health Care Volume 21, June 2019, Pages 19-31
doi: 10.1016/j.orhc.2019.02.002
Weekly Lecture Assignments
Assignment # 1: Hand Simulation.
Point: 100
Due Date: 11:59 AM Thursday January 30, 2020
Data in PDF for Assignment 1 is attached. Problem represents single station drive in bank.
1. Each student has his/her own set of data.
1. Simulation starts at time 0. That is, entity 1 arrives at time 0. Rule is FIFO.
2. Simulation ends when all entities have left the system. That means, after entity 20,
no new entity is allowed into the system, similar to a bank that closes but serves those who arrived before closing.
2. Create a table similar to what we did in the class.
3. Create two graphs underneath each other, one for number of people in the system and one for number of people in the queue versus time.
4. Calculate: average waiting time of customers in the system and in the queue and average queue length.
Assignment # 2: Generating Random Numbers - 1.
Point: 50
Due Date: 5:00 PM Wednesday February 5, 2020
1. Generate all possible random numbers by the LCG (103, 11, c, X0). For X0 use the
day number of you birthday. For c value, add the digits of your birth year. You can use Excel for calculations and copy it into your report,
but you must explain what the numbers are and how they are calculated. Identify the period of LCG and if it is not a full period
identify the random numbers that are missing. Use only three digits of decimals. Find U240307 for this LCG without using Excel.
2. Repeat the same steps for problem 1 but assuming that you have a MLCG.
Assignment # 3: Generating Random Numbers - 2.
Point: 100
Due Date: 5:00 PM Wednesday February 12, 2020
1. Use Microsoft Excel. Generate 400 random numbers from U (0,1), organized in 20 rows and 20 columns, only 3 digits after the decimal.
You will be using this set in later assignments, So make sure to save a copy for your future use.
For future reference, We call this set your RV Bank so when you are asked to use your RV Bank
you know where to look for the information. Send the Excel file to me separate from your homework (remember
to use correct naming format). All references to elements of the RV Bank are in matrix format.
For example, when you need to to start from (12,4), the reference is to the value at 12th row
and 4th column.
Every time that you use random numbers from your RV Bank for a problem you need to have a small image
of the RV Bank with values seleced highlighted
2. An experiment involves throwing a die three times and recording the total number of dots observed. Generate 8 random numbers simulating this experiment using the first 8 random numbers generated in problem 1.
3. Add all digits of your phone number. Now, divide it by 3. Use that as a decimal value between 0 and 1 to represent the probability of success in a Bernoulli experiment. For example, a phone number of 443-885-4241 will be 4+4+3+8+8+5+4+2+4+1 = 43 and third of it will be 14.3 making p=0.143. Use Excel to generate 100 Bernoulli (p) and 100 Geo (p) using your RV-bank beginning from a cell that has closest value to 0.5 and moving column-wise. Use the generated Bernouli values to generate 8 values from Bin (10, p). Use the generated Geometric values to generate 8 values from NegBin (10, p).
Problem 4. Generate two values from Poi (6.nn) where nn is the total values of phone number digits you calculated in Problem 3.
Use RV-bank beginning with the closest value to the first two digitd of your phone number in decimal format (e.g. 44, then 0.44) moving in row or column.
Assignment # 4: Generating Random Numbers - 3
Point: 100
Due Date: Wednesday February 19th, 3:00pm
Problem 1: Generate four values from LogNor (n, 1.96). Where n is the result of adding all digits of your phone number divided by 5 and rounded up. Use RV-bank beginning with the closest value to 0.66, then moving column-wise.
Problem 2: Use your RV-Bank beginning from random number in row 8, column 8 and moving column-wise. Generate one random number from a gamma distribution where β = 2nd largest number in your cell phone number and α = 0.length of your longest finger in millimeters.
Problem 3: Use your RV-Bank beginning from random number in row 4, column 4 and moving row-wise. Generate one random number from a gamma distribution where β = 2nd largest number in your student ID number and α = month of your birth.length of your shortest finger in millimeters.
Problem 4: Use your RV-Bank beginning from random number in row 20, column 20 and moving column-wise. Generate five random numbers
from Tria (4.11, 6.nn, 8.74), where nn is two digits of your birth day.
Assignment # 5: Fitting distribution to data.
Point: 50
Due Date: Monday February 24th, 5:00pm
Problem 1: Use Microsft Excel for steps 1, 2 and 3.
1. Use Data Analysis Add-ins tool to generate 2600 random variables distributed as Poisson with parameter λ. Parameter λ
is in the form of N.nn where N is the largest digit of your student ID and nn is the day number of you birthday. The generated values must be
in 100 rows (rows 1 through 100) and 26 columns (column A through Z). They must be with three decimal values.
2. For each row calculate the average of the values in that row (in column AA).
3. Use these values in ARENA to find the distribution that is the best fit and report it. If that distribution is Normal, go to the next step,
otherwise fit a normal distribution to the data and go to the next step.
4. Use the Normal distribution that you came up with and using standard normal tables find the Pr(μ- 2 σ ≤ x ≤ μ + 2σ).
Now count the actual number of averages that fall into that range and find percentage of total. Are they very close or not?
Here is a quick tutorial of how to use Input Analyzer, in case you missed the demonstration.
