Inter-arrival time is exponentially distributed

Assignment Help Operation Management

Reference no: EM132259874

Delta Sonic is a car wash provider in Western New York. VIP Customers at their Buffalo, NY location sign up for unlimited car washes and a separate line & dedicated car wash services those customers (i.e. a single-server single-queue model). Assume VIP customers arrive every 10 minutes on average and that their inter-arrival time is exponentially distributed. Also, assume that processing (washing) time is the sum of two components:

A constant (i.e. not random) basic washing time that is exactly 4 minutes.

A random extra-service time that is exponentially distributed with mean time of 2 minutes.

In Excel, simulate the arrival times and processing times of VIP customers at this car wash using 2,000 sample customers. Using the results of your simulation, calculate the percentage of VIP customers that were in the process (i.e. waiting+washing) for longer than 12 minutes. Press F9 to rerun your simulation several times and record the results for the percentage of customers who wait longer than 12 minutes. Using the median of these recorded percentages as your estimate of the percentage of customers expected to wait longer than 12 minutes, enter that probability here as a two digit decimal e.g. 0.25, 0.45, 0.99, etc.)

Reference no: EM132259874

Questions Cloud

Appointed HR Manager and must develop some programs : You are the newly appointed HR Manager and must develop some programs, solutions, or interventions to address these issues.

Friend is seriously considering career as pianist : You attend your friend’s piano recital, knowing that your friend is seriously considering a career as a pianist. Her performance is atrocious.

Aggressive cancer and was admitted currently unresponsive : Mr. A had been diagnosed with a rare and aggressive cancer and was admitted currently unresponsive.

Describe the ethical principles in conflict : Identify your chosen scenario and then identify and describe the ethical principles in conflict (i.e. autonomy, beneficence, etc.).

Inter-arrival time is exponentially distributed : Assume VIP customers arrive every 10 minutes on average and that their inter-arrival time is exponentially distributed.

Using technological factors to achieve their goal : Is there any advantage of using Technological factors to achieve their goal?

The organization is in the decline stage of growth : The organization is in the decline stage of growth. Many of the mid-level managers are aggressively pursuing other employment alternatives.

Descriptive statistics like mean-range-standard deviation : Descriptive statistics like mean, median, range, and standard deviation can be used to summarize data.

Apple global supply chains make their business thrive : Apple's global supply chains make their business thrive. Is this a sustainable business model for their global supply chains?

User Account

All Pages