上海交通大学试卷（A卷) (2010至2011学年第2学期) 班级号 学号 姓名 课程名称 Production and Operations Analysis 成绩 1.Ch2 A Handy,Inc.,produces a solar-powered electronic calculator that has experienced the following monthly sales history for the first four months of the year,in thousands of units: January 23.3 March 30.3 February 72.3 April 15.5 a.If the forecast for January was 25,determine the one-step-ahead forecasts for February through May using exponential smoothing with a smoothing constant of b.Repeat the calculation in part(a)for a value of a=.What difference in the forecasts do you observe? c.Compute the MSEs for the forecasts you obtained in part(a)and(b)for February through April.Which value of gave more accurate forecasts,based on the MSE? 2.Ch7 Two end products,EPI and EP2,are produced in the Raleigh,North Carolina,plant of a large manufacturer of furniture products located in the Southeast.The product structure diagrams for these products appear in following Figure. EP2 EP1 C43) D1) E1) 2weeks 1week 1 week B(2) A(1) F2) 2 weeks Iweek 2weeks G(2 H(1) F(3) Gf3 H(2) 1 weeks 2 weeks 2weeks 3weeks 2weeks Suppose that the master production schedules for these two products are Week 18 19 20 21 22 23 24 EP1 120 112 76 22 56 90 210 EP2 62 68 90 77 26 30 54 Assuming lot-for-lot production,determine the planned order releases for components F,G and H 3.CH8 Barbara and Jenny's Ice Cream Company produces four different flavors of ice cream: vanilla,chocolate,strawberry,and peanut fudge.Each batch of ice cream is produced in the A卷总3页第页
A 卷 总 3 页 第 页 上 海 交 通 大 学 试 卷（ A 卷） （ 2010 至 2011 学年 第 2 学期 ） 班级号____________ 学号 ______________________ 姓名 __ 课程名称 Production and Operations Analysis 成绩 ___ 1. Ch2 A Handy, Inc., produces a solar-powered electronic calculator that has experienced the following monthly sales history for the first four months of the year, in thousands of units: January 23.3 March 30.3 February 72.3 April 15.5 a. If the forecast for January was 25, determine the one-step-ahead forecasts for February through May using exponential smoothing with a smoothing constant of . b. Repeat the calculation in part (a) for a value of . What difference in the forecasts do you observe? c. Compute the MSEs for the forecasts you obtained in part (a) and (b) for February through April. Which value of gave more accurate forecasts, based on the MSE? 2. Ch7 Two end products, EP1 and EP2, are produced in the Raleigh, North Carolina, plant of a large manufacturer of furniture products located in the Southeast. The product structure diagrams for these products appear in following Figure. Suppose that the master production schedules for these two products are Week 18 19 20 21 22 23 24 EP1 120 112 76 22 56 90 210 EP2 62 68 90 77 26 30 54 Assuming lot-for-lot production, determine the planned order releases for components F, G and H. 3. CH8 Barbara and Jenny’s Ice Cream Company produces four different flavors of ice cream: vanilla, chocolate, strawberry, and peanut fudge. Each batch of ice cream is produced in the
same large vat,which must be cleaned prior to switching flavors.One day is required for the cleaning process. At the current time they have the following outstanding orders of ice cream: Flavor Order Size(gallons) Due Date Vanilla 385 3 Chocolate 440 8 Strawberry 200 6 Peanut fudge 180 12 It takes one day to produce the ice cream and a maximum of 100 gallons can be produced at one time.Cleaning is required only when flavors are switched.The production for one flavor will be completed prior to beginning production for another flavor.Cleaning is always started at the beginning of a day. Treating each ice cream flavor as a different job,find the following: a.The sequence in which the ice cream flavors should be produced in order to minimize the mean flow time for all of the flavors. b.The optimal sequence to produce the flavors in order to minimize the number of flavors that are late. 4.CH3 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: Month Number of Belts Handbags Attache Cases Working Days 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 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 can not 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.The additional workers are hired for $11.00 per hour and are kept on the payroll for at least one full month.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 anan aggregate measure of production,convert the forecasted demands to demands in terms of aggregate units. b.What would be the size of the workforce needed to satisfy the demand for the coming six months on regular time only?Would it be to the company's advantage to bring the A卷总3页第页
A 卷 总 3 页 第 页 same large vat, which must be cleaned prior to switching flavors. One day is required for the cleaning process. At the current time they have the following outstanding orders of ice cream: Flavor Order Size(gallons) Due Date Vanilla 385 3 Chocolate 440 8 Strawberry 200 6 Peanut fudge 180 12 It takes one day to produce the ice cream and a maximum of 100 gallons can be produced at one time. Cleaning is required only when flavors are switched. The production for one flavor will be completed prior to beginning production for another flavor. Cleaning is always started at the beginning of a day. Treating each ice cream flavor as a different job, find the following: a. The sequence in which the ice cream flavors should be produced in order to minimize the mean flow time for all of the flavors. b. The optimal sequence to produce the flavors in order to minimize the number of flavors that are late. 4. CH3 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 can not 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. The additional workers are hired for $11.00 per hour and are kept on the payroll for at least one full month. 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 an an aggregate measure of production, convert the forecasted demands to demands in terms of aggregate units. b. What would be the size of the workforce needed to satisfy the demand for the coming six months on regular time only? Would it be to the company’s advantage to bring the
permanent workforce up to this level?Why or why not? c.Determine a production plan that meets the demand using only regular-time employees and the total cost of that plan. d.Determine a production plan that utilizes only additional employee to absorb excess demand and the cost of that plan 5.CH4 A metal fabrication shop has a single punch press.There are currently three parts that the shop has agreed to produce that require the press,and it appears that they will be supplying these parts well into the future.You may assume that the press is the critical resource for these parts,so that we need not worry about the interaction of the press with the other machines in the shop.The relevant information here is Part Annual Contracted Setup Cost Cost Production number Amount (demand) (per unit) Rate (per year) 1 2,500 $80 $16 45,00 2 5,500 120 18 40,00 3 1,450 60 22 26,00 Holding costs are based on an 18 percent annual interest rate,and the products are to be produced in sequence on a rotation cycle.Setup times can be considered negligible a.What is the optimal time between setups for part number 1? b.What percentage of the time is the punch press idle,assuming an optimal rotation cycle policy? c.What are the optimal lot sizes of each part put through the press at an optimal solution? d.What is the total annual cost of holding and setup for these items on the punch press, assuming an optimal rotation cycle? 6.CH5 Disk Drives Limited (DDL)produces a line of internal Winchester disks for microcomputers.The drives use a 3.5-inch platter that DDL purchase from an outside supplier. Demand data and sales forecasts indicate that the weekly demand for the platters seems to be closely approximated by a normal distribution with mean 38 and variance 130.The platters require a three-week lead time for receipt.DDL has been using a 40 percent annual interest charge to compute holding costs.The platters cost $18.80 each,order cost is $75.00 per order, and the company is currently using a stock-out cost of $400.00 per platter.(Because the industry is so competitive,stock-outs are very costly.) a.Because of a prior contractual agreement with supplier,DDL must purchase the platters in lots of 500.What is the reorder point that it should be using in this case? b.When DDL renegotiates its contract with the supplier,what lot size should it write into the agreement? c.How much of a penalty in terms of setup,holding,and stock-out cost is DDL paying for contracting to buy too large a lot? d.DDL's president is uncomfortable with the $400 stock-out cost and decides to substitute a 99 percent fill rate criterion.If DDL used a lot size equal to the EOQ,what would its reorder point be in this case?Also,find the imputed cost of shortage. 我承诺，我将严 3 格遵守考试纪律。 题号 承诺人： 得分 批阅人（流水阅 卷数师签名处)
A 卷 总 3 页 第 页 permanent workforce up to this level? Why or why not? c. Determine a production plan that meets the demand using only regular-time employees and the total cost of that plan. d. Determine a production plan that utilizes only additional employee to absorb excess demand and the cost of that plan. 5. CH4 A metal fabrication shop has a single punch press. There are currently three parts that the shop has agreed to produce that require the press, and it appears that they will be supplying these parts well into the future. You may assume that the press is the critical resource for these parts, so that we need not worry about the interaction of the press with the other machines in the shop. The relevant information here is Part number Annual Contracted Amount (demand) Setup Cost Cost (per unit) Production Rate (per year) 1 2,500 $80 $16 45,00 2 5,500 120 18 40,00 3 1,450 60 22 26,00 Holding costs are based on an 18 percent annual interest rate, and the products are to be produced in sequence on a rotation cycle. Setup times can be considered negligible. a. What is the optimal time between setups for part number 1? b. What percentage of the time is the punch press idle, assuming an optimal rotation cycle policy? c. What are the optimal lot sizes of each part put through the press at an optimal solution? d. What is the total annual cost of holding and setup for these items on the punch press, assuming an optimal rotation cycle? 6. CH5 Disk Drives Limited (DDL) produces a line of internal Winchester disks for microcomputers. The drives use a 3.5-inch platter that DDL purchase from an outside supplier. Demand data and sales forecasts indicate that the weekly demand for the platters seems to be closely approximated by a normal distribution with mean 38 and variance 130. The platters require a three-week lead time for receipt. DDL has been using a 40 percent annual interest charge to compute holding costs. The platters cost $18.80 each, order cost is $75.00 per order, and the company is currently using a stock-out cost of $400.00 per platter. (Because the industry is so competitive, stock-outs are very costly.) a. Because of a prior contractual agreement with supplier, DDL must purchase the platters in lots of 500. What is the reorder point that it should be using in this case? b. When DDL renegotiates its contract with the supplier, what lot size should it write into the agreement? c. How much of a penalty in terms of setup, holding, and stock-out cost is DDL paying for contracting to buy too large a lot? d. DDL’s president is uncomfortable with the $400 stock-out cost and decides to substitute a 99 percent fill rate criterion. If DDL used a lot size equal to the EOQ, what would its reorder point be in this case? Also, find the imputed cost of shortage. 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：
