100% Correct MOS3330 Homework 5 solutions
Additional Algo 5-8 Flow-Dependent Processing Times
Two types of student come to the career-services office for counseling. New students arrive at a rate of 6 students per hour and spend 6 minutes in registration and 15 minutes with an advisor. Returning students students arrive at a rate of 10 students per hour and spend 3 minutes in registration and 12 minutes with an advisor. The staff consists of 1 registration employee and 2 advisors.
How many new students will be served each hour? Note: Round your answer to 1 decimal place.
Additional Algo 5-17 Implied Utilization
Clients are served in a process with two resources. The processing times for the resources are 1.4 and 2 hours. Demand occurs at the rate 0.7 clients per hour.
What is the implied utilization (%) of the second resource? Note: Round your answer to 1 decimal place.
Additional Algo 5-18 Implied Utilization
Applications are scanned in a process with two resources. A worker in the first resource scans 0.86 applications per hour and a worker in the second resource scans 0.85 applications per hour. The first resource has 8 workers and the second resource has 10 workers. Demand occurs at the rate 10 applications per hour.
What is the implied utilization (%) of the first resource? Note: Round your answer to 1 decimal place.
Additional Algo 5-12 Attrition Losses and Yields
Albatross Manufacturing goes through the following process to select job candidates to make offers to after they list a job. First they pre-screen to eliminate candidates who do not meet the basic requirements of the position. Second, they do a preliminary assessment to screen out those who lack the desired level of skills and competencies for the job. Third, they interview to select candidates with the highest potential for job success. Finally, they verify candidates’ stated employment record and qualifications. Applications→Pre-Screen→Preliminary Assessment→Interview→Verify Credentials→Make offer
The Human Resources department has found that 55% of applications do not meet the basic requirements of the job. 40% of applicantions are eliminated during the preliminary assessment. Only 25% of those who are interviewed make it past the that step to have their credentials verified. The verification step typically eliminates 55% of those remaining.
- What is the yield in this recruitment process?Note: Round your answers to 1 decimal place.
- How many applications should they seek if they want to make 6 job offers?
Additional Algo 5-14 Rework
A four-step process has processing times of 6, 2, 5, and 4 minutes for the four steps (listed from start to finish). After the third step, 37% of items require rework, which entails starting over again at step 1. All items that are reworked are successfully processed. Demand is 10 units per hour.
How many units per hour will the second step process? Note: Round your answer to 2 decimal places.
Additional Algo 5-13 Rework
A manufacturing process consists of three processes. Step 1 requires 5 minutes per unit, step 2 requires 5 minutes per unit, and step 3 requires 6 minutes per unit. 20% of units that complete the third step require rework, which means those units must start the process over at step 2 (processing times are the same for units being reworked) and rework is always successful. Demand at the shop is 0.4 units per minute.
What is the capacity of the shop (in units per minute)? Note: Round your answer to 3 decimal places.
Additional Algo 5-11 Attrition Losses and Yields
A process has three resources and two types of flows. The first flow has a demand of 42 units per day, and the second flow has a demand of 55 units per day. The first flow type visits all three resources, while the second flow type only visits the first and the third resources. The capacity is 142 units per day at the first resource, 107 units per day at the second resource, and 150 units per day at the third resource.
- What is the demand total for each resource? Note: Do not round intermediate calculations.
- What is the implied utilization for each resource? Note: Round your answers to 2 decimal places.
- What is the actual flow rate for each flow? Note: Round your answers to 2 decimal places.
Additional Algo 5-7 Flow-Dependent Processing Times
A sandwich shop has three types of customers (sandwich-only, soup-only, and combo). The shop has three workstations, each staffed by a single worker (sandwich, soup, and checkout). 8 sandwich-only customers arrive each hour and spend 6 minutes at the sandwich workstation and 3 minutes at the checkout but do not visit the soup station. 8 soup-only customers arrive each hour spend 7 minutes at the soup station and 2 minutes at the checkout but do not visit the sandwich station. 4 combo customers arrive each hour and spend 6 minutes at the sandwich station, 2 minutes at the soup station and 5 minutes at the checkout.
What is the flow rate of soup-only type customers? Note: Round your answer to 1 decimal place
Solution
Additional Algo 5-8 Flow-Dependent Processing Times
Two types of student come to the career-services office for counseling. New students arrive at a rate of 6 students per hour and spend 6 minutes in registration and 15 minutes with an advisor. Returning students students arrive at a rate of 10 students per hour and spend 3 minutes in registration and 12 minutes with an advisor. The staff consists of 1 registration employee and 2 advisors.
How many new students will be served each hour? Note: Round your answer to 1 decimal place.
Answer and Explanation
The workload at registration is 6 students per hour × 6 minutes per student + 10 students per hour × 3 minutes per student = 66 minutes per hour.
The workload for advising is 6 × 15 + 10 × 12 = 210 minutes per hour.
The implied utilization for registration is 66 minutes per hour / (60 minutes per employee × 1 employee) = 110%.
The implied utilization for advising is 210 / (60 × 2) = 175%.
Therefore, advising is the bottleneck. The new students flow will be 6 / 175/100 = 3.4 new students per hour.
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