Advertisements
Advertisements
प्रश्न
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.
उत्तर
| Policy | 1 | 2 | 3 |
| Data Entry | 90 | 120 | 180 |
| Filing | 140 | 110 | 100 |
Observe that Min (Data entry, filing) = 90, corresponds to policy 1 on data entry
∴ Policy 1 is placed first in sequence.
| 1 |
Then the problem reduces to
| Policy | 2 | 3 |
| Data Entry | 120 | 180 |
| Filing | 110 | 100 |
Now, Min (Data entry, filing) = 100, corresponds to policy 3 on filing.
∴ Policy 3 is placed last on sequence and policy 2 on remaining.
∴ Optimal sequence is
| 1 | 2 | 3 |
Total elapsed time
| Policy | Data entry | Filling | ||
| In | Out | In | Out | |
| 1 (90, 140) | 0 | 90 | 90 | 230 |
| 2 (120, 110) | 90 | 210 | 230 | 340 |
| 3 (180, 100) | 210 | 390 | 390 | 490 |
∴ Total elapsed time = 490 mins
Idle time for data entry = 490 – 390 = 100 mins
Idle time for filling = 90 + 50 = 140 mins.
APPEARS IN
संबंधित प्रश्न
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.
Choose the correct alternative :
The objective of sequencing problem is
Choose the correct alternative :
In a 3 machine and 5 jobs problem, the least of processing times on machine A, B and C are 5, 1 and 3 hours and the highest processing times are 9, 5 and 7 respectively, then it can be converted to a 2 machine problem if order of the machines is:
Fill in the blank :
The time for which a machine j does not have a job to process to the start of job is called _______.
Fill in the blank :
The time required for printing of four books A, B, C and D is 5, 8, 10 and 7 hours while its data entry requires 7, 4, 3 and 6 hrs respectively. The sequence that minimizes total elapsed time is _______
One machine - one job is not an assumption in solving sequencing problems.
State whether the following is True or False :
If there are two least processing times for machine A and machine B, priority is given for the processing time which has lowest time of the adjacent machine.
Solve the following problem :
A readymade garments manufacturer has to process 7 items through two stages of production, namely cutting and sewing. The time taken in hours for each of these items in different stages are given below:
| Items | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Time for Cutting | 5 | 7 | 3 | 4 | 6 | 7 | 12 |
| Time for Sewing | 2 | 6 | 7 | 5 | 9 | 5 | 8 |
Find the sequence in which these items are to be processed through these stages so as to minimize the total processing time. Also find the idle time of each machine.
Solve the following problem :
Find the sequence that minimizes the total elapsed time to complete the following jobs. Each job is processed in order AB.
| Machines | Jobs (Processing times in minutes) | ||||||
| I | II | III | IV | V | VI | VII | |
| Machine A | 12 | 6 | 5 | 11 | 5 | 7 | 6 |
| Machine B | 7 | 8 | 9 | 4 | 7 | 8 | 3 |
Determine the sequence for the jobs so as to minimize the processing time. Find the total elapsed time and the idle times for both the machines.
A toy manufacturing company produces five types of toys. Each toy has to go through three machines A, B, C in the order ABC. The time required in hours for each process is given in the following table.
| Type | 1 | 2 | 3 | 4 | 5 |
| Machine A | 16 | 20 | 12 | 14 | 22 |
| Machine B | 10 | 12 | 4 | 6 | 8 |
| Machine C | 8 | 18 | 16 | 12 | 10 |
Solve the problem for minimizing the total elapsed time.
Choose the correct alternative:
If there are 3 machines A, B and C, conditions for reducing a 3 machine problem to a 2 machine problem with respect to minimum processing time is ______
If there are n jobs and m machines, then there will be _______ sequence of doing jobs.
In assignment problem each worker or machine is ______ capable of handling any job
State whether the following statement is True or False:
The Total Elapsed is the time required to complete all the jobs i.e. entire task
State whether the following statement is True or False:
The idle time for a machine is the when machine is available but is not waiting for any job to be processed
State whether the following statement is True or False:
In sequencing problem each machine is of different type
Find the sequence that minimizes total elapsed time to complete the following jobs in the order XY. Find the total elasped time and idle times for each machine.
| Jobs | A | B | C | D | E |
| Machine X | 10 | 2 | 18 | 6 | 20 |
| Machine Y | 4 | 12 | 14 | 16 | 8 |
A publisher produces 5 books on Mathematics. The books have to go through composing, printing and binding done by 3 machines A, B, C. The time schedule for the entire task in proper unit is as follows :
| Book | I | II | III | IV | V |
| Machine A | 4 | 9 | 8 | 6 | 5 |
| Machine B | 5 | 6 | 2 | 3 | 4 |
| Machine C | 8 | 10 | 6 | 7 | 11 |
Determine the optimum time required to finish the entire task. Also, find idle time for machines A, B, C.
