Tick Course Learning Outcomes (CLO)* Marks
x 1. Understand decision making under certainty, uncertainty and under risk
- Explain how to plan and control projects by determining the project
completion time and the slack times of each activity.
/5
- Illustrate how analytical models of waiting lines (queuing theory), can help
managers evaluate the cost and effectiveness of service systems;
/5
- Illustrate optimisations techniques of linear programming and apply them in
various organizational settings. /10
x 5. Apply optimization techniques to prepare business reports for UAE/GCC business
Total from 20 /20
*Linkages to Program Outcomes and Concentration Outcomes are provided in the Syllabus.
Student’s Name: ……………………………………..
Student’s ID No: ……………………………………..
Marks: Maximum (20 Marks). This constitutes 20 % of the total course marks.
Group evaluation to individual contributions
Student’s Name (and ID) Share of Individual contribution*
1
2
3
4
5
6
*To be filled (out of 100), to show the share-of contribution of each student in the group
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Group Project/Homework Paper [20 MARKS]
RUBRIC
The purpose of this group project/homework is to model and solve real life decision problems in
business using decision tools such as projects controlling, waiting lines, and linear programming.
This group project is based on all the materials studied and the discussions held during the course.
This is expected to help you relate the theory learnt to the real world.
Your report MUST include a cover page and references page. Please maintain a font size 12 and
use Times New Roman. Do not use single or double spacing - kindly use 1.5 spacing. Make sure
to keep your data (and the source of the data) as evidence.
Note that a maximum of 20 marks will be awarded to your report based on the quality of your
report and individual presentation/contributions. PLAGIARISM WILL NOT BE EXCUSED.
Please provide a well-organized report covering all the questions
and submit your report both in soft copy (through Moodle on
04/19/2022 before midnight) and hard copy (on 04/20/2022 in class).
NOTE: Each member of the team is expected to present (in a power point) your report.
Your project has three sections. Please provide a well-organized report covering all.
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- Project scheduling: (5 Points)
Pick a real-life project (e.g., COVID related, setting up a business, house construction,…). For
this project, discuss among your group (also discuss with experts in that field) and come up with
a list of activities to be accomplished. For each of the activities identify the predecessors. Based
on your group discussion and experts’ advise; set the optimistic, most likely, and pessimistic time
to accomplish each activity.
Once you have the above information, compile a report providing your analysis including the
following:
a. A project network for your project.
b. The Earliest starting (ES), Earliest finishing (EF), Latest starting (LS), and Latest finishing
(LF) time of each project activity. Explaining the purpose of identifying this information
(Hint: Allowing vacation time for workers).
c. Identifying the critical path, and the critical activities of your project.
d. Estimation of the expected time to complete your project.
e. Estimation of the probability that your project will be completed within 2 Months (9 weeks
or 60 days)?
- Waiting time (Queuing theory): (5 Points)
Pick a service provision company (e.g., DEWA, Du or ETISALAT service center at a Mall,
MacDonald, EPCO fuel station,…). For the service providing company of your choice, conduct a
survey on the number of arrivals per a specific period (e.g., per hour or every ½ an hour). This
will help you to get the average arrival rate (). Also get information on the service rate () at
each service counter, and the number of service counters () in the company your choice. MAKE
SURE TO CONDUCT YOUR SURVEY DURING THE STEADY-STATE PERIOD OF THE
COMPANY.
Once you have the above information, compile a report providing your analysis including the
following:
i. Introduction section – Providing a complete background information of the company
(your choice). Also provide information on the process your group followed to
undertake the field survey and how you calculated the average arrival rate (), the
service rate (), and the number of service counters () of the company.
ii. Following the introduction section, your analytical report should determine the
operating characteristics (performance measures) for the waiting line of the company,
including:
a. the probability that no customers are in the company (system),
b. the average number of customers in the waiting line,
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c. the average number of customers in the system (waiting + being served),
d. the average time a customer spends in the waiting line,
e. the average time a customer spends in the system,
f. the probability that an arriving customer must wait for service, and
g. forecasting the probability that 5 customers will be in the system (company)
iii. Based on your above findings, what are your recommendations to the company in terms
of improving its service provision. - Linear Programming: (10 Points)
Case: A Dubai company making four types of products
A Dubai company makes four types of products: Product-P1, Product-P2, Product-P3, and
Product-P4. These products are made using three resources: Malt, Hops and Yeast. Production of
each unit of Product-1 requires 1 kg. of Malt, 2 kgs. of Hops and 1 kg. of Yeast. Each unit of
Product-2 requires 1 kg. of Malt, 1 kg. of Hops and 1 kg. of Yeast. Each unit of Product-3 requires
only 2 kgs. of Hops and 1 kg. of Yeast. Each unit of Product-4 requires 3 kgs. of Malt, 1 kg. of
Hops and 4 kgs. of Yeast. The company has 50 kgs. of Malt, 150 kgs. of Hops and 80 kgs. of
Yeast. The company makes a profit of AED6 on each unit of Product-P1, AED5 on a unit of
Product-P2, AED3 on a unit of Product-P3, and AED7 on a unit of Product-P4. The problem faced
by the company is to decide how much of each product should it make to maximize its
revenue/profit.
a. Develop the linear programming model for this problem? [You must clearly define the
decision variables]
b. USE Excel to clearly and neatly show the feasible region.
c. Find the optimal solution (i.e., how many units of each product type should be produced in
order the company gets the maximum revenue?) – ATTACH THE EXCEL SOLVER
REPORT
d. How much (in AED) will be the maximum revenue of the company? [Clearly show your
calculation] - ATTACH THE EXCEL SOLVER REPORT
e. Will there be excess capacity of raw material? [i.e., calculate the slack for each raw
material: Malt, Hops and Yeast]. Which material is binding? – ATTACH THE EXCEL