E-Books →Krishna's - Operations Research, Edition-39

CONTENTS- OPERATIONS RESEARCH,
1. Introduction to Operations Research
1.1 Introduction (The Origin and the Development of OR)
1.2 Nature and Definition of OR
1.3 Objective of OR
1.4 Phases of OR Method
1.5 Areas of Applications (Scope) of OR
1.6 Operations Research and Decision-Making
1.7 Scientific Method in OR
1.8 Characteristics of Operations Research
1.9 Modeling in OR
1.10 Types of Models
1.11 General Methods of Solution for OR Models
2. Mathematical Preliminaries
2.1 Introduction
2.2 Sample Space
2.3 Events
2.4 Algebra of Events
2.5 Classical Definition of Probability
2.6 Odds in Favour and Odds Against
2.7 The Statistical (or Empirical) Definition of Probability
2.8 Axiomatic Definition of Probability
2.9 Natural Assignment of Probabilities
2.10 Theorem of Total Probability or Additional Theorem of Probability
2.11 Compound Events
2.12 Independent and Dependent Events
2.13 Conditional Probability
2.14 Multiplication Theorem of Probability
2.15 Random Variable
2.16 Discrete Probability Distributions
2.17 Expectation of a Random Variable
2.33 Definitions
2.34 Euclidean Space
2.35 Linear Dependence and Independence of Vectors
2.36 Linear Combination (L.C.) of Vectors
2.37 Spanning Set
2.38 Basis Set
2.39 Some Useful Theorems of Linear Algebra
2.40 Simultaneous Linear Equations
2.41 First Difference of f (x)
2.42 Second Difference of f(x)
2.43 Conditions for a Maximum or Minimum of f(x)
3. Inventory Theory

3.1 Inventory
3.2 Variables in Inventory Problems
3.3 Need of Inventory
3.4 Inventory Problems
3.5 Advantages and Disadvantages of Inventory
3.6 Classification or Categories of Inventory Models
3.7 Some General Notations Used in Inventory Models
3.8 Economic Lot Size Models
3.9 Model I : Economic Lot Size Model with Uniform Rate of Demand Infinite Production Rate and having no Shortages
3.10 Another form of Model I
3.11 Model II : Economic Lot-size Model with Different Rates of Demand in Different Production Cycles, Infinite Production Rate and having no Shortages
3.12 Model III : Economic Lot-size Model with Uniform Rate of Demand, Finite Rate of Replenishment having no Shortages
3.13 Model IV : Fixed Time Model
3.14 Model V : Economic Lot-size Model with Uniform Rate of Demand, Infinite Rate of Production and Having Shortages which are to be Fulfilled.
3.15 Model VI : Economic Lot-size Model with Uniform Rate of Demand, Finite Rate of Production and having Shortages which are to be Fulfilled
3.16 Multi Item, Deterministic Models with One Constant
3.17 Probabilistic Models
3.18 Model VII : Single Period Model with Discontinuous or Instantaneous Demand and Time Independent Costs (No Set up Cost Model)
3.19 Model VIII : Single Period Model with Uniform Demand (No Set up Cost Model)
3.20 Model IX : The General Single Period Model of Profit Maximization with Time Independent Cost
3.21 Model X : Probabilistic Order Level System with Lead-Time
3.22 Purchase Inventory Models with Price Breaks
3.23 Model XI : Purchase Inventory Model
3.24 Model XII : Purchase Inventory Model with One Price Break
3.25 Model XIII : Purchase Inventory Model with Two Price Breaks
3.26 Model XIV : Purchase Inventory Model with Multiple Price Breaks
4. Replacement Problems
4.1 Introduction
4.4 Few Important Terms
4.5 To D