Operations Research — Summer 2019

Write a note on Characteristics of Queuing System

Write a note on duality and its rules

Write a note on degeneracy and multiple solutions in LPP

Write a note on Properties of Linear Programming Model

Write a note on Procedure for Numbering the Events Using Fulkerson’s Rule

What is game in game theory? what are the properties of a game? Explain two-person zero sum game with suitable example.

Discuss continuous in time vs Direct in time models

Explain Single Server Queuing Model in detail with example

Write a note on CPM, float and slack times.

Abakery keeps stock of popular brand of cake. Previous experience shows the daily demand pattern for the item with associated probabilities, as given below Daily demand : 0 10 20 30 40 50 Probability 0.01 0.20 0.15 0.50 0.12 0.02 Use the following sequence of random numbers to simulate the demand for next 10 days. Random numbers: 25,39,65,76,12,05,73,89,19,49 Also calculate average demand of cakes. Page 1 of

How to verify and refine a mathematical model?

Afrim makes two products Xand Yand has a total production capacity of 9 tons per day, Both Xand Yrequire the same production capacity. The firm has a permanent contract to supply at least 2 tons of Xand at least tons of Yper day to another company. Each ton of Xrequires 20 machine hours of production time and each ton of Yrequires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All of the firm’s output can be sold. The profit made is rs.80 per ton of Xand rs.120 per ton of Y.

Identify decision variables and prepare objective function

Formulate given LPP and suggest suitable method for solution

Write constrains and objective function of given situation

Find solution of given problem Page 2 of