PART II. APPLICATION & ANALYSIS. CYCLE TIME & WIP. (15 marks)

Direction: Read the following questions and find the solutions as per the requirements.

A food court has an average of 700 customers per day (between 8:00 AM and 8:00 PM). During peak times (8:00AM to 2:00 NN and 5:00 PM to 8:00 PM), the food court has around 500 customers in total and, on average, 50 customers can be found in the court at a given point in time. At non-peak times, the place has 200 customers in total and on average, 20 customers can be found in the court at a given point in time. (15 marks)

Answer the following questions:

Determine the operating hours, Total Peak Times, and Non-Peak Times:

1. What is the Average Arrival Rate () during peak time. (3 marks)

2. How much is the Work-in-Progress (WIP) during peak time. (2 mark)

3. Determine the Average Cycle Time (CT) during peak time. (3 marks)

4. Calculate for the Average Arrival Rate () during non-peak time. (2 marks)

5. How much is the Work-in-Progress (WIP) during non-peak time. (2mark)

6. Determine the Average Cycle Time (CT) during non-peak time. (3 marks)

PART III. APPLICATION AND ANALYSIS ON QUEUING THEORY. (10 marks)

Direction: Given the following assumptions, derive the answer/s for each question.

Assumptions:

Mean Arrival Rate ( ) = 1.5 customers/hour

Number of Servers (c ) = 1

Mean Service Rate () = 2 customers/hour

1. Calculate and determine the Occupation rate. (p) (2 marks)

2. What is the average number in system average (L)? (2 marks)

3. Determine the average system in system (W). (2 marks)

4. What is the average time in queue (Wq)? (2 marks)

5. Determine the length of queue (Lq). (2 marks)