Optimisation Techniques 2018 Question Paper — Government College of E…
The 2018 Optimisation Techniques previous year question paper (Government College of Engineering and Technology, Jammu), with every question and its marks.
- University: Government College of Engineering and Technology, Jammu
- Subject: Optimisation Techniques
- Course: Optimization Techniques
- Branch: Mechanical Engineering
- Year: 2018
- Paper: end-term
- Duration: 180 minutes
- Total marks: 100
Instructions
- Attempt five questions in all selecting at least two questions from each Section.
- Each question carries 20 marks.
- Assume missing data if any.
Questions
Section - A
- QQ1. Define Optimization Model. Explain the concept of decision making and its subtype in case of optimization research. [20 marks]
- QQ2. What are the various methods for solving Linear Programming models? Explain any one of them with the help of suitable example. [20 marks]
- QQ3. Define PERT. A small project is composed of 7 activities whose time estimates are listed below. Activities are being identified by their beginning (i) and ending (j) node numbers. Activities: i = 1, j = 2, t_o = 1, t_i = 1, t_p = 7 i = 1, j = 3, t_o = 1, t_i = 4, t_p = 7 i = 1, j = 4, t_o = 2, t_i = 2, t_p = 8 i = 2, j = 5, t_o = 1, t_i = 1, t_p = 1 i = 3, j = 5, t_o = 2, t_i = 5, t_p = 14 i = 4, j = 6, t_o = 2, t_i = 5, t_p = 8 i = 5, j = 6, t_o = 3, t_i = 6, t_p = 15 (a) Draw the network, (b) Calculate the expected variances for each, (c) Find the expected project completed time & (d) Calculate the probability that the project will be completed at least 3 weeks than expected. [20 marks]
Section - B
- QQ4. Explain the term Project Scheduling. How is it done? Give its significance and applications in Project management. [20 marks]
- QQ5. Explain the Least cost cell and Vogel's Approximation Method in case of transportation problem analysis. Use example to support your answer. [20 marks]
- QQ6. Differentiate between Transportation Problem and Assignment Problem. Write the steps involved in Hungarian Method. [20 marks]
- QQ7. In case of queuing theory explain the followings: (a) Size of arrivals (b) Inter arrival time (c) Capacity of the service system (d) Service in Random Order (SIRO) [20 marks]
- QQ8. A mechanic repairs 4 machines. The mean time between service requirements is 5 hours for each machine and forms an exponential distribution. The mean repair time is 1 hour and also follows the same distribution pattern. Machine down time costs Rs. 25 per hour and the mechanic costs Rs. 55 per day. Find (a) Expected number of operating machines, (b) the expected down time cost per day, (c) Would it be economical to engage two mechanics, each repairing only two machines? [20 marks]