d) Consider the single item inventory model. D = 20000/year, C0 = Rs 1000/order, C = Rs 200/item, i = 20%, TC at EOQ is a) 1000 b) 15000

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1 Assignment A model of the form Y = a + bt was fit with data for four periods. The two equations are 90 = 4a + 10b and 240 = 10a + 30b. The forecast for the fifth period is a) 120 b) 30 c) 160 d) 0 2. A time series data for six periods is given: 85, 83, 86, 89, 85, 87. The forecast for the seventh period using a 3 period moving average is a) 87 b) 97 c) 27 d) Consider the transportation formulation of the aggregate planning problem for 6 periods considering RT cost, OT cost, inventory and backorder costs, outsourcing costs and underutilization costs. The RT and OT capacities in each period is 2000 and 400 respectively. Outsourcing is permitted. The demands for six periods are 3000, 2000, 2500, 2800, 2200 and The minimum total supply in a balanced transportation problem is a) b) c) d) Consider the LP formulation of the aggregate planning problem for 12 periods considering all 8 costs. The constraints considered are the demand constraints, workforce balance constraints, RT and OT capacity constraints. The total number of constraints for all the periods together is a) 20 b) 48 c) 59

2 d) Consider the single item inventory model. D = 20000/year, C0 = Rs 1000/order, C = Rs 200/item, i = 20%, TC at EOQ is a) 1000 b) c) d) The lead time demand follows a normal distribution with mean = 200/week and σ = 40/week. LT = 4 weeks. Compute safety stock at 2σ service level. a) 100 b) 200 c) 180 d) The lead time demand follows a uniform distribution with 200 ± 80. If ROL = 240, find the service level? a) 80% b) 75% c) 30% d) 5% 8. Consider a 4 job 2 machine flow shop. The processing time for the 4 jobs in two machines are (10, 12), (5, 8), (3, 9) and (10,10). The optimum makespan from Johnson s algorithm is a) 42 b) 62 c) 12 d) 72

3 9. Consider a 4 job 3 machine flow shop. The processing times of the four jobs on three machines are ( ), (5, 8, 9), (3, 9, 8) and (10, 10, 10). The lower bound for makespan based on the three machines is a) 50 b) 150 c) 120 d) Consider a 4 job 3 machine flow shop. The processing times of the four jobs on three machines are ( ), (5, 8, 9), (3, 9, 8) and (10, 10, 10). The lower bound for makespan for the partial sequence 1-2 based on the three machines is a) 97 b) 67 c) 57 d) Consider a line balancing problem with 12 activities. They have been allocated to 5 workstations whose cycle times are 14, 16, 18, 17 and 15. The given cycle time is 20. The line efficiency of this solution is a) 100% b) 80% c) 20% d) 28% 12. Consider the disaggregation problem for 3 items. The monthly demands are DA = 400, DB = 500 and DC = 600 and the production capacity is The initial inventories are 200, 300 and 360. The solution has ta = 0, tb = 0.5. The inventory of A at t = 0.5 is a) 750 b) 150 c) 250 d) 450

4 13. Consider a 2 supply 3 demand transportation problem. The supply quantities are 100 and 80 and the demands are 80, 80 and 20. The unit costs of transportation from supply 1 are 6, 2, 4 and from supply 2 are 8, 3, 7 respectively. The objective function for the minimum cost method solution is a) 120 b) 140 c) 880 d) Consider a layout problem with three facilities. The movement among the facilities is given by w12 = 5, w23 = 4 and w13 = 6. The distance among the 3 sites are d12 = 1, d23 = 1 and d13 = 2. Assume symmetry. The load distance for the solution X12 = X21 = X33 = 1 is given by (Assume symmetric load and distance matrix, where wij = wji and dkl = dlk. Also Xik = 1 indicates that facility i is assigned to site k) a) 38 b) 98 c) 78 d) Given the data 63, 64, 66, 67, 67, 69, 71, 72 find the forecast for the ninth period using linear regression? a) b) c) d) Consider two items with the following data D1 = 18000/year, D2 = 20000/year, C0 = 1000, C1 = 80,C2 = 50, Cs = 50/unit/year and i = 20%. Use P = 25000/year for both the items. Find the individual production quantities Q1 and Q2? a) Q1 = 1875, Q2 = 2881 to 2582 b) Q1 = 1275, Q2 = 1881 to 1582 c) Q1 = 3875, Q2 = 3881 to 3582 d) Q1 = 875, Q2 = 881 to 582

5 17. Consider the demand for six periods (in man hours) 3500, 3200, 4000, 3600, 4200 and Regular time capacity is 3600 hours and overtime capacity is 400 hours in a month. The RT, OT and inventory costs are 30, 45 and 5 per unit and per unit per month. Use outsourcing cost as Rs 50 per hour. The organization has the policy to use only RT when the demand can be met using RT. They will use OT when the demand cannot be met with RT. They will use outsourcing only when they exhaust both RT and OT capacity. Find the cost of this aggregate plan? They do not store at the end of the period. a) b) c) d) Consider two items with the following data D1 = 12000, D2 = 16000, C0 = 1000, C1 = 80 and C2 = 50, i = 20%. There is a limit of 10 on the total number of orders but joint orders are acceptable. Find the number of orders that minimizes total cost under the constraints? a) 9.38 b) c) 1.38 d) Consider two items with the following data D1 = 20000, D2 = 10000, C0 = 1500, C1 = 60 and C2 = 80, i = 20%. The order cost has two components an administrative cost of 500 and truck cost of The company can save one truck cost if the items are ordered together. The total cost at EOQ for two items when ordered individually is. The total cost when ordered together is a) 8740, b) 48740, c) 28740, d) 18740, Given D = 14000, C = 40, C0 = 400 andi = 20%. The supplier is willing to give an all quantity discount of 2% if Q 2000? There is also a marginal quantity discount of 5%

6 and 10% at quantities 2000 and 5000 respectively. Find the EOQ and the TC at EOQ (including the item cost)? a) EOQ = 183, TC = 5665 b) EOQ = 1983, TC = c) EOQ = 1183, TC = d) EOQ = 2983, TC = Consider a job shop scheduling problem with three jobs and three machines. The routes and processing times (in the usual notation) for the jobs are J1 M1 (8), M3 (12), M2 (8). J2 M3 (12), M1 (9), M2 (10), and J3 M3 (10), M1 (12), M2 (15). Solve the job shop scheduling problem using SPT rule as the dispatching rule and FIFO as tie breaking rule. Find the makespan. a) 55 b) 20 c) 10 d) Consider a five job three machine flowshop scheduling problem. The processing times for the five jobs are J1 (27, 10, 8), J2 (12, 9, 10), J3 (11, 10, 8), J4 (8, 13, 12) and J5 (14, 12, 9). Find the lower bound to makespan considering the three machines? Find the lower bound for a partial sequence J3 J5 J1? The makespan obtained using Palmer s heuristic is. a) 90, 94, 90 b) 70, 124, 80 c) 10, 74, 190 d) 190, 24, Consider a four job three machine flowshop scheduling problem. The processing times for the four jobs are J1 (27, 8, 20), J2 (12, 6, 9), J3 (11, 5, 12), J4 (8, 4, 13). The due dates for the jobs are 50, 60, 40, 30. Find the minimum makespan? a) 83 b) 23 c) 63 d) 43

7 24. Solve a fixed charge transportation problem with two supply points and three demand points. The supplies are 100 and 80 while the demands are 60, 70 and 50. The unit costs of transportation are 9, 6, 4, and 7, 15, and 10 from the two supply points. The fixed costs are 300, 280, 350 and 360, 350, 400 respectively from the two supply points. Use the method where the fixed cost is approximated using the demand and supply. The total cost associated with the heuristic solution when applied on the original data is a) 2550 b) 1050 c) 1250 d) 750

GEARMOTORS AF MOTORS FOR INVERTER C-1

GEARMOTORS AF MOTORS FOR INVERTER C-1 C-1 C-2 C-3 C-4 R R C-5 C-6 C-7 1.47 14.7 584Hz 438Hz 318Hz 270Hz 234Hz 206Hz 167Hz 140Hz 121Hz 100Hz 81.4Hz 68.6Hz 59.4Hz 49.2Hz 40.2Hz 33.7Hz 28.9Hz 24.5Hz 21.2Hz 17.9Hz 15.2Hz 12.8Hz 3.11 4.15 5.70