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QUESTION BANK ON OPERATIONS RESEARCH UNIT-1: Basics of operations research

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18ME735 Operations Research VTU CBCS Notes

Download final year projects.

Here you can download the VTU 2018 Scheme Notes, Question Papers, and Study materials of 18ME735 Operations Research of the Mechanical Engineering department.

University Name: Visvesvaraya Technological University (VTU), Belagavi

Branch Name: Mechanical Engineering – ME

Semester: 7th (4th Year BE)

Subject Code and Subject Name: 18ME735 Operations Research

Scheme of Examination: 2018 Scheme

Marks Distribution: 40 Marks for Continuous Internal Assessment and 60 Marks for Semester end examination

Important Concepts discussed:

1st Module covers “Evolution of OR, Definitions of OR, Scope of OR, Applications of OR, Phases in OR study. Characteristics and limitations of OR”

2nd Module covers “Simplex method, Canonical and Standard form of LP problem, slack, surplus, and artificial variables, Solutions to LPP by Simplex method”

3rd Module covers “Formulation of transportation problem, types, initial basic feasible solution using North-West Corner rule, Vogel’s Approximation method”

4th Module covers “Introduction, Construction of networks, Fulkerson’s rule for numbering the nodes, AON and AOA diagrams”

5th Module covers “Definition, Pure Strategy problems, Saddle point, Max-Min and Min-Max criteria, Principle of Dominance, Solution of games with a Saddle point.”

Download the 2018 Scheme VTU CBCS Notes of 18ME735 Operations Research

M-1, M-2, M-3, M-4, and M-5 (Uploaded Soon)

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Operations Research - Dec 2016

Mechanical engg. (semester 7).

TOTAL MARKS: 100 TOTAL TIME: 3 HOURS (1) Question 1 is compulsory. (2) Attempt any four from the remaining questions. (3) Assume data wherever required. (4) Figures to the right indicate full marks. 1(a) Briefly explain the scopes of Operation Research. (5 marks) 1(b) A farmer has 100 acre farm. He can sell all tomatoes, lettuce or radishes and can rise the price to obtain Rs 1.00 per kg for tomatoes, Rs 0.75 a head for lettuce and Rs 2.00 per kg for radishes. The average yields per acre is 2000 kgs of tomatoes, 3000 heads of lettuce and 1000 kgs of radishes. Fertilizers are available at Rs 0.50 per kg and the amount required per acre is 100 kgs each for tomatoes and lettuce and 50 kgs for radishes. Labour required for sowing, cultivating and harvesting per acre is 5 man days for tomatoes and radishes and 6 man days for lettuce. A total of 400 man days of labour are available at Rs 20 per man day. Formulate this problem as a linear programming model to maximize the farmer's total profit. (15 marks) 2(a) Write the dual of the following LPP. Minimize Z = 3x 1 -6x 2 +4x 3 Subject to 4x 1 +3x 2 +6x 3 ≥9 1xsub>1+2x 2 +3x 3 ≥6 6x 1 -2x 2 -2x 3 ≤10 x 1 -2x 2 +6x 3 ≥4 2x 1 +5x 2 -3x 3 ≥6 x 1 , x 2 , x 3 ≥0. (5 marks) 2(b) Solve the following Linear Programming problem. Maximize Z = x 1 +2x 2 +3x 3 -x 4 Subject to x 1 +2x 2 +3x 3 =15 2x 1 +x 2 +5x 3 =20 x 1 +2x 2 +x 3 +x 4 =10 x 1 , x 2 , x 3 ,x 4 ≥0. Solve by using Two phase method. (15 marks) 3(a) ABC Limited has three production shops supplying a product to 5 warehouses . The cost of production varies from shop to shop, cost of transportation from shop to shop cost of transportation from shop to warehouses also varies. Each shop has a specific production capacity of each warehouse has certain amount of requirement. The cost of transportation are as given below:

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Previous year question paper for OR (BCOM 3rd)

Operation research

Previous year question paper with solutions for operation research from 2012 to 2019.

Our website provides solved previous year question paper for Operation research from 2012 to 2019. Doing preparation from the previous year question paper helps you to get good marks in exams. From our OR question paper bank, students can download solved previous year question paper. The solutions to these previous year question paper are very easy to understand.

Syllabus OR (BCOM 3rd)

Operations Research: Nature, Scope, Methodology of operations research and role in

managerial decision making. Linear Programming: Formulation of problem and its solution

by Graphical and Simplex methods, Duality.

Transportation Problems: Formulation, Optimal solution, Unbalanced Transportation

problem, Degeneracy. Assignment Problems: Formulation, Optimal solution, Variants of

Assignment Problems, Travelling Salesman problems

Game Theory: Games with pure and mixed strategies, Saddle Point, Odds method, Principle

of dominance, Sub Games method, Equal gains method and LPP- Graphic Method

Sequencing Problems: Processing n jobs through two machines, Processing in jobs through

three machines.

UNIT–IV

Inventory Models – EOQ Models, Quantity Discount Models, Purchase inventory models

with One Price Break (Single Discount) and Multiple Discount breaks. Network Analysis:

PERT and CPM Model, difference between PERT and CPM, Computation of Critical Path,

Slack, Floats and Probability of project completion by a target date.

OR (May 2019)

Or (may 2018), or (dec 2018), or (may 2017), or (dec 2017), or (may 2016), or (dec 2016), or (may 2015), or (dec 2014), or (may 2014), or (may 2013), or (dec 2012), related subjects, explore all data.

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