Define: i. System ii. Sub-system iii. System environment
[3 marks]Classify system. Discuss the interaction between system, sub-system and system environment.
[4 marks]Discuss the factors influencing creativity, techniques and alternate ideas.
[7 marks]Discuss the application of linear programming.
[3 marks]Following project network is given with arrows as activities and the numbers by each arrow representing job durations in days. The network has two dummy activities Dand D . The minimum competition time of the project in days12 is_____________
[4 marks]For a mining company unit transportation cost from a mine to a washery, and supply and demand are below. The total cost of transportation using the Vogel's approximation method is __________. Washery Supply A B C D M1 30 0 40 20 500 Mine M2 24 16 22 40 700 M3 0 32 28 36 800 Demand 300 400 600 700
[7 marks]Amining project is composed of five activities whose three time estimates in months are given below. Find out: (a). The expected duration of mining project in months. (b). The standard deviation of the project length in months is.1 Activity Estimated duration (months) Optimistic time Most likely time Pessimistic time 1-2 1 1 1-3 2 5 2-4 1 1 3-4 2 5 4-5 3 6
[15 marks]Define: i. Dummy activity ii. Critical activity iii. Slake time
[3 marks]Explain the advantages and limitations of PERT.
[4 marks]Differentiate between CPM and PERT.
[7 marks]Define: i. Optimistic time ii. Pessimistic time iii. Most likely time
[3 marks]Write a note on calculation of average and expected time in PERT.
[4 marks]Explain the rules to be followed while constructing a network.
[7 marks]The maximum value of Z = 4x + 2y subject to the constraints 2x + 3y ≤ 18, x + y ≥ 10, x, y ≤ 0 is?
[3 marks]Acement company has three factories which transport cement to four distribution centers. The daily production of each factory, the demand at each distribution centre, and the associated transportation cost per tonne from factory to distribution center are given in the table below. The initial basic feasible solution using the least cost rule is________. Distribution centers Factory Supply D1 D2 D3 D4 (tonnes/day) F1 20 30 110 70 600 F2 10 0 60 10 100 F3 50 80 150 90 1000 Demand (tonnes/day)
[4 marks]The assignment problem given requires four different jobs to be done on four different machines. The minimum cost of assignment is _______. Machine Jobs M1 M2 M3 M4 J1 27 35 36 30 J2 33 37 36 35 J3 20 26 28 24 J4 38 29 35 33
[7 marks]For the critical path network shown, the slack for the activity 'B' in months is:
[3 marks]Three jobs A, B, and Care to be assigned to three machines X,Y, and Z. The processing costs are given below. The minimum total cost of assigning the jobs to the machines is? Machine X Y Z A 19 28 31 Jobs B 11 17 16 C 12 15 13
[4 marks]Afirm manufactures 3 products A, Band C. the profits are Rs. 3, Rs. 2 and Rs. 4 respectively. The firm has two machines M1 and M2 and below is the required processing time in minutes for each machine on each product. Product A B C M1 4 3 Machine M2 2 2 Machines M1 and M2 have 2000 and 25000 machine-minutes respectively. The firm must manufacture 100 A’s, 200 B’s and 50 C’s but not more than 150 A’s. Set up an LPP to maximize profit.
Write a note on application of network models in mining.
[3 marks]Discuss the scope and limitations of simulation.
[4 marks]Discuss Monte-Carlo simulation system.
[7 marks]Write a note on EOQ model.
[3 marks]Write a note on minimal spannial tree network model.
[4 marks]Discuss the key parameters of inventory management.
[7 marks]