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![Exercise 6.13 The required staffing in a call center, from 9am to 9pm in 30-minute
intervals, is as follows:
10, 11, 13, 16, 16, 13, 11, 10, 10, 11, 12, 13, 14, 14, 13, 11, 10, 9, 9, 10, 9, 8, 8, 8.
There are 2 types of shifts:
- 8 hours working time, with a 30-minute unpaid break in the middle, wage 20
108
100
Koole – Business Analytics
Euro/hr, possible starting times every half hour from 9am to 12:30pm;
-4 hours consecutive, wage 24 Euro/hr, possible starting times every half hour from
9am to 5pm.
Formulate this as a covering problem and solve it with the Excel solver.
Machine scheduling is another important class of ILO problems. However,
because it involves some modeling tricks that are discussed in Section 6.7,
we defer discussing it to that section.
The next two exercises concern problems that can be solved with appro-
priately chosen binary decision variables.
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- TABLE 18.21 Processing Time for Eight Projects, Displayed in the Sequence They Arrived Project P1 P2 P3 Р4 P5 P6 P7 P8 Processing time (hours) 4 1 0.5 2 3 6 1 ..... 1. Given the projects displayed in Table 18.21, if FCFS is used to sequence the jobs, what is the average flow time of the projects (in hours)? 2. Given the projects displayed in Table 18.21, if SPT is used to sequence the jobs, what is the average flow time of the projects (in hours)?b) A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operations when shipments are received: Operation A – draw a random sample, package, and deliver to testing; and Operation B – test the materials and issue a disposition report. There are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are given in the table below. Shipment Operation A (hours) Operation B (hours) A 1.5 1.0 В 1.1 2.7 1.2 1.4 D 0.7 1.6 E 1.6 1.5 F 1.9 2.9 Use Johnson's Rule to set the sequence of processing the shipments through Quality Control. i. ii. How much total time is required to process all the six shipments through Quality Control? Show all times on a Gantt Chart. w lustate whether or not each situation would be considered “compensable time” (and why or why not). An employee of a fast food chain has to arrive at work 15 minutes early to change into the“mascot” costume and it typically takes another 15 minutes at the end of the shift to change outof the costume and properly store it. Due to the cost of the costume, employees are notallowed to take the costume home. The “mascots” typically work from 10am – 2pm, to coverthe lunch rush periods. How much time would be “compensable” for the mascots, assumingthe conditions/schedule listed above?2) George is a Radiology Technician at a local hospital and when on call, is required to be nofurther than 30 minutes away from the facility. Is the “on call” time, compensable?
- b. The Healthy Food Restaurant, a 24-hour restaurant, faces changing requirements from hour tohour. More workers are needed for peak hours, and fewer are needed in between. The followingTable 6 (below) shows the worker requirement for the first 12 hours in the restaurant:Table 6. Staff Requirement at the Healthy Food RestaurantTime Period 10AM11AM12PM1PM2PM3PM4PM5PM6PM7PM8PM9PMRequirement 8 10 12 12 9 7 6 7 9 10 12 8AssignedOn DutyOverstaffed8(i) You are required to apply the first-hour principle to staff each hour with the required number ofcafeteria staff, showing how many staff are on duty each given hour, the number of staffyou have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts.CASE: AmazonIn a visit to an Amazon distribution center, a group of business students and their professors met with the general manager. After taking them on an extensive tour of the five-acre facility, the general manager commented on the slowness of the visitors’ walking pace. He described the Amazon Pace, a fast, aggressive walk, and confirmed that the average employee walks eight or nine miles during a shift. These employees are called “pickers,” and their task is to fill an order and deliver it to the processing and packing center as quickly as possible. The design of the center is a trade secret that results in a random distribution of products. Therefore, the picker has to cover a number of directions and distances while filling an order. Those who cannot keep up the pace are usually let go, just as would be those who steal.Critical Thinking• Does the requirement to walk an average of eight or nine miles at a fast pace every day strike you as a reasonable expectation for…Given the projects displayed in Table 18.21, if SPT is used to sequence the jobs, what isthe average flow time of the projects (in hours)?
- 1.Given the projects displayed in Table 18.21, if FCFS is used to sequence the jobs, whatis the average flow time of the projects (in hours)?Use the FCFS rule. What is the average flow time and average tardiness? Job time Due Date (days) Job (days) A 12 10 В 10 16 6. 14 D 8 18 O 23.5, 10.5 24.5, 10 O 26.5, 11 O 27, 13
- A company receives parts from suppliers to be used in its manufacturing departments. The quality control department must perform two operation when shipments are received:i) Operation A-draw a random sample, package, and deliver to testing, andii) Operation B-test the materials and issue a disposition reportThere are currently six shipments waiting to be processed. The time estimates for processing these six shipments through quality control are:Shipment Operation A (hours) Operation B (hours)1 1.5 1.02 1.1 2.73 1.2 1.44 0.7…Please do not give solution in image format thankuABC Solutions is a traditional company in textile industrywith a combined workforce of 150 staff. Due to increased levels of competition, this company is now increasingly finding it difficult to compete – especially as the larger companies seem to be a little more innovative, agile and responsive to client requirements. Management have noticed that staff, especially the highly skilled ones, are now leaving the company to seek work elsewhere (in these larger companies). This has meant appointing new staff and undertaking a considerable amount of re-training to replace those that have left the company. Apart from impacting on core business operations, ABC Solutions has started witnessing a drop in its profit margin. Given this position, senior management at ABC Solutions have decided to implement a performance measurement tool (PMT) that would allow them to align the strategic, management and operational requirements of the business. They are therefore considering the adoption of the…
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