Important RGPV Question
ME-703(A) Operation Research & Supply Chain
VII Sem, ME
Unit I Linear system and distribution models
Q.1 Old hens can be bought of Rs. 6 each but young ones cost Rs 12 each. The old hens lay eggs per week and young ones eggs per week, each egg buying worth Rs. 2. A hen costs Rs. 4 per week to feed. If a person has only Rs. 100 to spend on the hens how many of each kind should he buy to get a profit of more than Rs. 10 per week assuming that he cannot house more than 30 hens? (RGPV May 2024)
Q.2 Solve the following problem, by the simplex method (RGPV May 2024)
Q.3 Find the initial basic feasible solution of the following transportation problem by Vogel’s Approximation Method: (RGPV May 2024)
Q.4 A small manufacturer employs 5 skilled men and 10 semi-skilled men and makes .an article in two qualities, a deluxe model and an ordinary model. The making of a deluxe model requires 2 hours work by a skilled man and 2 hours work by a semi-skilled man. The ordinary model requires I hour work by a skilled man and 3 hours work by a semi-skilled man. By union rules no man can work more than 8 hours per day. The manufacturer’s clear profit of the deluxe model is Rs.10 and of the ordinary model Rs. 8. Formulate the model of the problem. (RGPV Nov 2023)
Q.5 Solve by Simplex method: (RGPV Nov 2023)
Q.6 A firm manufactures two types of products, A and B and sells them at a profit of Rs. 2 on type A and Rs. 3 on type B. Each product is processed on two machines G and H. Type A requires one minute of processing time on G and two minutes on H. Type B requires one minute on G and one minute on H. The machine G is available for not more than 6 hours 40 minutes. While machine H is available for 10 hrs during any working day. Formulate the problem as a linear programming problem.
For Simplex method to solve the LPP. (RGPV Nov 2022)
Unit II Supply chain
Q.1 Discuss expenditure and opportunities in SCM. (RGPV May 2024)
Q.2 Explain the importance of outbound logistics in SCM. (RGPV May 2024)
Q.3 What is Bull-Whip Effect? Explain. (RGPV May 2024)
Q.4 What is cross docking Explain its importance. (RGPV May 2024)
Q.5 Can degeneracy occur in a transportation problem? Justify your answer. (RGPV Nov 2023)
Q.6 Find the initial basic feasible solution to the following transportation problem by North-West corner rule. (RGPV Nov 2023)
Q.7 Explain what is Bull-whip effect in SCM? (RGPV Nov 2023)
Q.8 Discuss what is cross docking? What are its disadvantages? (RGPV Nov 2023)
Q.9 A company has three plants at locations A, B and C. Which supply to, warehouse located at D, E, F, G and H. Monthly plant capacities are 800, 500 and 900 units respectively. Monthly warehouse requirements are 400, 400, 500, 400 and 800 units respectively. Unit transportation costs (in Rs.) are given below. Determine an optimum distribution for the company in order to minimize the total transportation cost. (RGPV Nov 2022)
a) Explain degeneracy in a transportation problem and how to resolve it?
b) What do you mean by an unbalanced transportation problem and explain how to convert the unbalanced transportation problem into a balanced one?
Q.10 A company has four machines to do three jobs. Each job can be assigned to one and only one machine. The cost of each job on each machine is given in the following table. (RGPV Nov 2022)
What are the job assignments which will minimize the cost?
Explain the following in the context of assignment problem:
i) Balanced Assignment Problem
ii) The Hungarian Method
Q.11 Discuss expenditure and opportunities in SCM. (RGPV Nov 2022)
Q.12 Explain flow of material, money and information in SCM. (RGPV Nov 2022)
Q.13 Explain what is Bull-Whip effect? (RGPV Nov 2022)
Q.14 What is Cross docking? Enlist its advantages. (RGPV Nov 2022)
Unit III Inventory models
Q.1 A stockist has to supply 12,000 units of a product per year to his customer. The demand is fixed and known and the shortage cost is assumed is to be infinite. The inventory holding cost is Rs. 0.40 per unit per month and the ordering cost per order is Rs. 400. Determine: (RGPV May 2024)
i) The optimum lot size
ii) Optimum scheduling period
iii) Minimum total variable yearly cost
Q.2 A company uses 1,200 units per month of an electronic component each costing Rs. 3. Placing each order costs Rs. 60 and the carrying cost is 8% per year of the average inventory. (RGPV Nov 2023)
i) Find EOQ
ii) If the company gets 5% discount on single order, should it accept the discount offer.
iii) Find discount percentage which matches EOQ ordering for a single order.
Q.3 How competitive advantages can be achieved using MRP? (RGPV Nov 2023)
Q.4 How SCM is linked with e-business? Explain. (RGPV Nov 2023)
Q.5 Discuss the role of inventory in the logistics supply chain system. (RGPV Nov 2022)
Q.6 Discuss the various techniques for inventory control with their merits and demerits. (RGPV Nov 2022)
Q.7 How can inventory be used as a measurement system for performance calculation of the supply chain? Explain briefly. (RGPV Nov 2022)
Q.8 Inventory is withdrawn from a stock of 80 items according to Poisson distribution at the rate of 10 items per day. Determine the following: (RGPV Nov 2022)
i) The probability that 15 items are withdrawn during the first 2 days.
ii) The probability that no items are left at the end of 4 days.
UNIT-IV Waiting Line Models
Q.1 In a bank 30 customers in the average are served by a cashier in an hour. If the service time has exponential distribution what is the probability that: (RGPV May 2024)
i) It will take more than 12 minutes to serve a customer.
ii) A customer shall be free with 6 minutes.
Q.2 Explain pure and mixed strategies in Game? Enlist basic assumptions.
Q.3 Define a queue and explain the various queue disciplines. (RGPV Nov 2023)
Q.4 In a bank, 20 customers on the average, are served by a cashier in an hour. If the service time has exponential distribution. What is the probability that it will take more than 15 minutes to serve a customer. (RGPV Nov 2023)
Q.5 In a bank, 25 customers on the average, are served by a cashier in an hour. If the service has exponential distribution, what is the probability that (RGPV Nov 2022)
i) It will take more than 20 minutes to serve a customer.
ii) A customer shall be free within 5 minutes.
Q.6 Prove that the probability of customers in the system at any time in case of Poisson arrivals and exponential service times is given by
P=((-)
UNIT-V Network Analysis
Q.1 Discuss the similarities and difference of CPM and PERT. (RGPV May 2024)
Q.2 What does a critical path actually signify? In what ways does it differ from any other path. (RGPV Nov 2023)
Q.3 PERT calculations yield a project length of 60 weeks with variance of 9. Within how many weeks would you expect the project to be completed with probability of 0.99? (RGPV Nov 2023)
Q.4 Explain the terms:(RGPV May 2024)
i) Optimistic time
ii) Pessimistic time
iii) Most likely time
Q.5 Explain the following: (RGPV Nov 2022)
i) Arrival pattern
ii) Service discipline
iii) Service channel
iv) Service distribution
Q.6 Explain the terms: (RGPV Nov 2022)
i) Optimistic time
ii) Pessimistic time
iii) Most likely time
iv) Expected time
— Best of Luck for Exam —
