上海交通大学：《生产计划与控制 Production Planning and Control》教学资源_历年试卷_试卷C（2012）

上海交通大学试卷（C卷) (2011至2012学年第2学期) 班级号 学号 姓名 课程名称Production and Operations Analysis(生产计划与控制)成绩 我承诺，我将严 题号 1 2 3 4 5 6 格遵守考试纪律。 得分 承诺人： 批阅人（流水阅） 卷教师签名处) 1.(15%)Over a eight-week period,a Company sold the following numbers of its product: Week 1 2 3 4 5 678 Sales149302234121923 a.Compute the three-month moving-average forecast. b.Determine the forecast errors for these periods. C. Compute the MAD and the MSE based on the forecast errors computed in part(b). C卷总6页第1页

C 卷 总 6 页 第 1 页 上 海 交 通 大 学 试 卷（ C 卷） （ 2011 至 2012 学年 第 2 学期 ） 班级号____________ 学号 ______________________ 姓名 课程名称 Production and Operations Analysis (生产计划与控制) 成绩 1. (15%) Over a eight-week period, a Company sold the following numbers of its product: Week 1 2 3 4 5 6 7 8 Sales 14 9 30 22 34 12 19 23 a. Compute the three-month moving-average forecast. b. Determine the forecast errors for these periods. c. Compute the MAD and the MSE based on the forecast errors computed in part (b). 题号 1 2 3 4 5 6 得分 批阅人(流水阅) 卷教师签名处) 我承诺，我将严 格遵守考试纪律。 承诺人：

2.(15%)Mike's Garage,a local automotive service and repair shop,uses oil filters at a fairly steady rate of 2400 per year.Mike estimates that the cost of his time to make and process an order is about $50.It takes one month for supplier to deliver the oil filters to garage,and each one costs Mike $5.Mike uses an annual interest rate of 25 percent to compute his holding cost. a.Determine the optimal number of oil filters that Mike should purchase,and the optimal time between placement of orders. b.Determine the level of on-hand inventory at time a reorder should be placed. c.Assuming that Mike uses an optimal inventory control policy for oil filters,what is the annual cost of holding and order setup for this item? C卷总6页第2页

C 卷 总 6 页 第 2 页 2. (15%) Mike’s Garage, a local automotive service and repair shop, uses oil filters at a fairly steady rate of 2400 per year. Mike estimates that the cost of his time to make and process an order is about $50. It takes one month for supplier to deliver the oil filters to garage, and each one costs Mike $5. Mike uses an annual interest rate of 25 percent to compute his holding cost. a. Determine the optimal number of oil filters that Mike should purchase, and the optimal time between placement of orders. b. Determine the level of on-hand inventory at time a reorder should be placed. c. Assuming that Mike uses an optimal inventory control policy for oil filters, what is the annual cost of holding and order setup for this item?

3.(20%)Leather-All produces a line of handmade leather products.At the present time,the company is producing only belts,handbags,and attache cases.The predicted demand for these three types of items over a six-month planning horizon is as follows: Number of Month Belts Handbags Attache Cases Working Days 1 22 2,500 1,250 240 2 20 2,800 680 380 3 19 2,000 1,625 110 4 24 3,400 745 75 J 21 3,000 835 126 6 17 1,600 375 45 The belts require an average of two hours to produce,the handbags three hours,and the attache case six hours.All the works have the skill to work on any item.Leather-All has 46 employees who each has a share in the firm and cannot be fired.There are an additional 30 locals that are available and can be hired for short periods at higher cost.Regular employees earn $8.50 per hour on regular time and $14.00 per hour on overtime.Regular time comprises a seven-hour workday,and the regular employee will work as much overtime as is available.Costs of hiring and firing are negligible. Because of the competitive nature of the industry,Leather-All does not want to incur any demand back orders. a.Using worker hours as an aggregate measure of production,convert the forecasted demands to demands in terms of aggregate units. b.Determine a production plan that meets the demand using only regular-time employees and the total cost of that plan. C卷总6页第3页

C 卷 总 6 页 第 3 页 3. (20%) Leather-All produces a line of handmade leather products. At the present time, the company is producing only belts, handbags, and attaché cases. The predicted demand for these three types of items over a six-month planning horizon is as follows: Month Number of Working Days Belts Handbags Attaché Cases 1 22 2,500 1,250 240 2 20 2,800 680 380 3 19 2,000 1,625 110 4 24 3,400 745 75 5 21 3,000 835 126 6 17 1,600 375 45 The belts require an average of two hours to produce, the handbags three hours, and the attaché case six hours. All the works have the skill to work on any item. Leather-All has 46 employees who each has a share in the firm and cannot be fired. There are an additional 30 locals that are available and can be hired for short periods at higher cost. Regular employees earn $8.50 per hour on regular time and $14.00 per hour on overtime. Regular time comprises a seven-hour workday, and the regular employee will work as much overtime as is available. Costs of hiring and firing are negligible. Because of the competitive nature of the industry, Leather-All does not want to incur any demand back orders. a. Using worker hours as an aggregate measure of production, convert the forecasted demands to demands in terms of aggregate units. b. Determine a production plan that meets the demand using only regular-time employees and the total cost of that plan

4.(15%)Mike's Auto Body Shop has five cars waiting to be repaired.The shop is quite small,so only one car can be required at a time.The respective processing times and due dates are given in the table below. Cars Processing Time(days) Due Date(days) 3 5 2 2 6 3 / 9 4 4 11 5 5 8 Determine the schedule result for sequencing rule CR.Then please compute the mean flow time,average tardiness,and number of tardy cars. C卷总6页第4页

C 卷 总 6 页 第 4 页 4. (15%) Mike’s Auto Body Shop has five cars waiting to be repaired. The shop is quite small, so only one car can be required at a time. The respective processing times and due dates are given in the table below. Cars Processing Time (days) Due Date (days) 1 2 3 4 5 3 2 1 4 5 5 6 9 11 8 Determine the schedule result for sequencing rule CR. Then please compute the mean flow time, average tardiness, and number of tardy cars

5.(20%)Annual demand for number 2 pencils at the campus store is normally distributed with mean 1000 and standard deviation 250.The store purchases the pencils for 6 cents each and sells 20 cents each.There is a two-month lead time from the initiation to receipt of an order.The store accountant estimates that the cost in employee time for performing the necessary paperwork to initiate and receive an order is $20,and recommends a 22 percent annual interest rate for determining holding cost.The cost of a stock-out is the cost of lost profit plus an additional 20 cents per pencil,which represents the cost of loss of goodwill. a.Find the optimal value of the reorder point R assuming that the lot size is used the EOQ. b.Find the simultaneous optimal values of Q and R. C卷总6页第5页

C 卷 总 6 页 第 5 页 5. (20%) Annual demand for number 2 pencils at the campus store is normally distributed with mean 1000 and standard deviation 250. The store purchases the pencils for 6 cents each and sells 20 cents each. There is a two-month lead time from the initiation to receipt of an order. The store accountant estimates that the cost in employee time for performing the necessary paperwork to initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lost profit plus an additional 20 cents per pencil, which represents the cost of loss of goodwill. a. Find the optimal value of the reorder point R assuming that the lot size is used the EOQ. b. Find the simultaneous optimal values of Q and R

6.(15%)A component used in a manufacturing facility is ordered from an outside supplier. Because the component is used in a variety of end products,the demand is high.Estimated demand (in thousands)over the next 10 weeks is Week 1 23 456 78 9 10 Demand 2234 3212 844 5416 76 30 The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week.The fixed order cost is estimated to be $200. What ordering policy is recommended by the Silver-Meal heuristic?Then please compute the total cost. C卷总6页第6页

C 卷 总 6 页 第 6 页 6. (15%) A component used in a manufacturing facility is ordered from an outside supplier. Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks is Week 1 2 3 4 5 6 7 8 9 10 Demand 22 34 32 12 8 44 54 16 76 30 The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. What ordering policy is recommended by the Silver-Meal heuristic? Then please compute the total cost