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AHP Programming:

AHP concepts can be broadly classified into the following:

• The AHP provides such a pattern that enables us to make decisions on complex issues by simplifying our natural decision-making processes.
• There is various situation in which we are not able to judge there AHP plays a significant role and help us to reach on decision quickly and accurate. ]

Overview of Our AHP Continued from Goal Programming

Selecting Best Smartphone:

Smartphone	Resolution	Screen Size (inches)	Battery (m Ah)
Sony	2160×3840 pixels	5.80	3540
Samsung	1440×2960 pixels	6.20	3500
Google	1080×1920 pixels	5.00	2700

Problem

To analyze basic features of Smartphone and finding the best for a customer who is looking for a phone with best battery backup, screen size and display.

Objective

Finding suitable Smartphone for a customer

Criteria

Resolution, Screen Size, Battery

Alternatives

Sony, Samsung, Google

Problem Solution by Ahp

There are various steps involved in this process:

First we need to rank alternative according to the table and then draw a MATRIX;

PREFERENCE LEVEL	NUMERICAL VALUE
Equally preferred	1
Equally to moderately preferred	2
Moderately preferred	3
Moderately to strongly preferred	4
Strongly preferred	5
Strongly to very strongly preferred	6
Very strongly preferred	7
Very strongly to extremely preferred	8
Extremely preferred	9

 

1. Prepare pair wise comparison matrix for each alternative and calculate their total.

a) Resolution

Resolution	Sony	Samsung	Google
Sony	1	4	6
Samsung	0.25	1	2
Google	0.17	0.50	1
Total	1.42	5.50	9

 

b) Screen size

Resolution	Sony	Samsung	Google
Sony	1	0.25	5
Samsung	4	1	9
Google	0.2	0.11	1
Total	5.2	1.36	15

 

c) Battery

Resolution	Sony	Samsung	Google
Sony	1	3	9
Samsung	0.33	1	5
Google	0.11	0.2	1
Total	1.44	4.2	15

 

2 Now we have to calculate priorities of each alternatives:

a) Resolution:

Resolution	Sony	Samsung	Google	Priority
Sony	0.71	0.73	0.67	0.70
Samsung	0.18	0.18	0.22	0.19
Google	0.12	0.09	0.11	0.11
Total	1.00	1.00	1.00	1.00

 

b) Screen Size:

Resolution	Sony	Samsung	Google	Priority
Sony	0.19	0.73	0.67	0.70
Samsung	0.18	0.18	0.22	0.19
Google	0.12	0.09	0.11	0.11
Total	1.00	1.00	1.00	1.00

 

c) Battery:

Resolution	Sony	Samsung	Google	Priority
Sony	0.69	0.71	0.60	0.67
Samsung	0.23	0.24	0.33	0.27
Google	0.08	0.05	0.7	0.06
Total	1.00	1.00	1.00	1.00

 

3. Now we need to compare criteria with respect to reaching the goal:

Criteria	Resolution	Screen Size	Battery
Resolution	1	0.25	0.11
Screen Size	4.00	1	0.25
Battery	9.09	4	1
Total	14.09	5.25	1.36

 

Criteria	Resolution	Screen Size	Batter	Priority
Resolution	0.07	0.05	0.08	0.07
Screen Size	0.28	0.19	0.18	0.22
Battery	0.65	0.76	0.74	0.71
Total	1.00	1.00	1.00	1.00

 

4. Synthesizing final priority

In this we multiply each alternative priority with criteria priority to calculate achieve our goal:

Resolution	Priority
Sony	0.70
Samsung	0.19
Google	0.11
Total	1.00

 

Screen Size	Priority
Sony	0.24
Samsung	0.70
Google	0.06
Total	1.00

 

Battery	Priority
Sony	0.67
Samsung	0.27
Google	0.06
Total	1.00

 

Criteria	Priority
Sony	0.70
Samsung	0.19
Google	0.11
Total	1.00

 

Final matrix for goal achievement:

Criteria	Resolution	Screen Size	Battery	Goal
Sony	0.49	0.05	0.07	0.61
Samsung	0.14	0.14	0.03	0.30
Google	0.07	0.01	0.01	0.09
Total	0.70	0.19	0.11	1.00

 

Conclusion:

By these calculations we are able to find out best phone for our customer using AHP programming. Customer has a strong intend for having a phone with good battery backup. The priority of Sony Smartphone is 0.61 which is highest among all the phones.

Result:

Priority of Sony Smartphone is 0.61 which is highest among all the phones.

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