#### Topics

##### Mathematical Logic

##### Mathematical Logic

##### Matrices

##### Differentiation

##### Applications of Derivatives

##### Integration

##### Definite Integration

##### Applications of Definite Integration

##### Differential Equation and Applications

##### Matrices

##### Commission, Brokerage and Discount

##### Insurance and Annuity

##### Linear Regression

##### Time Series

##### Index Numbers

- Index Numbers
- Types of Index Numbers
- Index Numbers - Terminology and Notation
- Construction of Index Numbers
- Simple Aggregate Method
- Weighted Aggregate Method
- Cost of Living Index Number
- Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
- Method of Constructing Cost of Living Index Numbers - Family Budget Method
- Uses of Cost of Living Index Number

##### Linear Programming

##### Assignment Problem and Sequencing

##### Probability Distributions

- Mean of a Random Variable
- Types of Random Variables
- Random Variables and Its Probability Distributions
- Probability Distribution of Discrete Random Variables
- Probability Distribution of a Continuous Random Variable
- Binomial Distribution
- Bernoulli Trial
- Mean of Binomial Distribution (P.M.F.)
- Variance of Binomial Distribution (P.M.F.)
- Poisson Distribution

##### Continuity

##### Differentiation

##### Applications of Derivative

##### Indefinite Integration

##### Definite Integrals

##### Ratio, Proportion and Partnership

##### Commission, Brokerage and Discount

##### Insurance and Annuity

##### Demography

##### Bivariate Data and Correlation

##### Regression Analysis Introduction

##### Random Variable and Probability Distribution

##### Management Mathematics

#### description

- Sequencing n jobs on Two Machine
- Sequencing n jobs on three machine

#### Related QuestionsVIEW ALL [36]

A machine operator has to perform two operations, turning and threading on 6 different jobs. The time required to perform these operations (in minutes) for each job is known. Determine the order in which the jobs should be processed in order to minimize the total time required to complete all the jobs. Also find the total processing time and idle times for turning and threading operations.

Job |
1 |
2 |
3 |
4 |
5 |
6 |

Time of turning |
3 | 12 | 5 | 2 | 9 | 11 |

Time for threading |
8 | 10 | 9 | 6 | 3 | 1 |

A company has three jobs on hand. Each of these must be processed through two departments, in the order AB where

Department A: Press shop and

Department B: Finishing

The table below gives the number of days required by each job in each department

Job |
I |
II |
III |

Department A |
8 | 6 | 5 |

Department B |
8 | 3 | 4 |

Find the sequence in which the three jobs should be processed so as to take minimum time to finish all the three jobs. Also find idle time for both the departments.

An insurance company receives three types of policy application bundles daily from its head office for data entry and tiling. The time (in minutes) required for each type for these two operations is given in the following table:

Policy |
1 |
2 |
3 |

Data Entry |
90 | 120 | 180 |

Filing |
140 | 110 | 100 |

Find the sequence that minimizes the total time required to complete the entire task.

There are five jobs, each of which must go through two machines in the order XY. Processing times (in hours) are given below. Determine the sequence for the jobs that will minimize the total elapsed time. Also find the total elapsed time and idle time for each machine.

Job |
A |
B |
C |
D |
E |

Machine X |
10 | 2 | 18 | 6 | 20 |

Machine Y |
4 | 12 | 14 | 16 | 8 |