BSc Sem IV 2022 2023 Mar 2023 OPERATIONS RESEARCH II Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt all 1b que {20 marks] etwork sho event and one end event
   • v) imin values to decide optimal action
   • (B) Answer the 10
   • v) State any 4 methods used in dec ision making under uncertainity
2. Q2 Attempt any two sub questions: 20 marks
   • a) i) Write of CPM. 2
   • ii) A project consists of following 8 activities: 8
   • 1. Draw network diagram. Find critical path and project completion time
   • b) i) Compare PERT and CPM. 5
   • ii) Define three time estimates in PERT. What is meant by expected time of an activity in PERT? Give its formula 5
   • c) i) What is meant by project crashing? 2
   • ii) The following table gives data on normal time and cost and crash time SY 100 Marks 3 HRS \
   • 1. the ork ath and the normal project duration
   • 2. If the indirect cost find out the optimum duration by
3. Q3 Attempt any two: 20 marks
   • a) i) Explain d nce pring size f payoff matrix. 3
   • ii) Obtain the optimal strategy of dominance. 7
   • b) i) Define (1) saddle point game (3) fair game 5
   • ii) Describe the graphical method for solving 2 X n game without saddle point. 5
   • (c) i) State the assumptions for a competitive game. 5
   • ii) Find the value of the following 2X2 game algebraically by using mixed strategies. Also find the optimal strategies of the two players VCD/ (MS) Sem-IV Operations Research-II 100 Marks 3 HRS 5
4. Q4 Attempt any two s {20 marks]
   • b) Consider th follow ermi ne the best order size using 10
   • i) Explain rules to draw decision 4
   • ii) A manufacturing company has to select one of two products A and B for manufacturing product A requires investment of Rs.20,000 and product B Rs.40,000 Market research survey shows high, medium and low demands with corresponding Probabilities and returns from sales in Rs. Thousand for the two products in the following table. Construct an appropriate decision tree. What decision the company Market demand | Probability Returns from Probability Returns from 6
5. Q5 Attempt any two sub questions: 20 marks
   • a) i) State two objectives of network analysis. VCD/ B.Sc (MS) Sem-IV Operations 100 Marks 3 HRS 2
   • ii) A project consists of 7 activities. Time estimates are given for each activity: 8
   • 1. Draw the PERT ted completion time of project
   • 2. What is the ity t 1 be completed in 15 days?
   • b) Solve the following game using LPP, 10
   • (c) i) For the following payoff table determine optimal decision by evaluating & ii) Explain decision making situations. (04) 6

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