Application of Decision Calculus in Allocation of ...

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Application of Decision Calculus in Allocation of Marketing Budgets Based on Markov Chains H.R. Koosha & A. Albadvi * Hamidreza Koosha Assistant Professor, Ferdowsi University of Mashhad, Iran, [email protected] Amir Albadvi, Professor, Tarbiat Modares University, Iran, [email protected] Keywords 1 ABSTRACT Decision Calculus (DC) is a judgment-based approach which considers managersโ€™ opinion in formulation of real world situations. In DC, managerโ€™ mind and the model are aggregated to each other. Little in 1970 introduced the philosophy of decision calculus and it has been used widely in formulation of problems in marketing. The main purpose of this paper is to provide an application for DC in allocation of marketing budgets as a critical activity in marketing. In case of data availability and environmental complexity, researchers suggest the use of mixed models to face such situations to allocate marketing budgets. Mixed models are models which use all the data from the past and managersโ€™ judgment altogether to provide more effective models. In this paper we suggest a simple mixed model. Then we provide a more complex model based on DC and Markov Chains Models (MCM). The suggested models are predicted to be effective in better decision making on allocation of customer relationship budgets. ยฉ 2014 IUST Publication, IJIEPM. Vol. 25, No. 1, All Rights Reserved * Corresponding author. Amir Albadvi Email: [email protected] May 2014, Volume 25, Number 1 pp. 109-122 http://IJIEPM.iust.ac.ir/ International Journal of Industrial Engineering & Production Management (2014) Decision Calculus (DC), Customer relationship budgets, Management judgment, Markov chain, Transition matrix, [ Downloaded from ijiepm.iust.ac.ir on 2022-05-03 ] 1 / 14

Transcript of Application of Decision Calculus in Allocation of ...

Page 1: Application of Decision Calculus in Allocation of ...

Application of Decision Calculus in Allocation of

Marketing Budgets Based on Markov Chains

H.R. Koosha & A. Albadvi

**

Hamidreza Koosha Assistant Professor, Ferdowsi University of Mashhad, Iran, [email protected]

Amir Albadvi, Professor, Tarbiat Modares University, Iran, [email protected]

Keywords 1 ABSTRACT

Decision Calculus (DC) is a judgment-based approach which

considers managersโ€™ opinion in formulation of real world situations.

In DC, managerโ€™ mind and the model are aggregated to each other.

Little in 1970 introduced the philosophy of decision calculus and it

has been used widely in formulation of problems in marketing. The

main purpose of this paper is to provide an application for DC in

allocation of marketing budgets as a critical activity in marketing. In

case of data availability and environmental complexity, researchers

suggest the use of mixed models to face such situations to allocate

marketing budgets. Mixed models are models which use all the data

from the past and managersโ€™ judgment altogether to provide more

effective models. In this paper we suggest a simple mixed model.

Then we provide a more complex model based on DC and Markov

Chains Models (MCM). The suggested models are predicted to be

effective in better decision making on allocation of customer

relationship budgets.

ยฉ 2014 IUST Publication, IJIEPM. Vol. 25, No. 1, All Rights Reserved

**

Corresponding author. Amir Albadvi Email: [email protected]

May 2014, Volume 25, Number 1

pppp.. 110099--112222

hhttttpp::////IIJJIIEEPPMM..iiuusstt..aacc..iirr//

IInntteerrnnaattiioonnaall JJoouurrnnaall ooff IInndduussttrriiaall EEnnggiinneeeerriinngg && PPrroodduuccttiioonn MMaannaaggeemmeenntt ((22001144))

Decision Calculus (DC),

Customer relationship budgets,

Management judgment,

Markov chain,

Transition matrix,

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โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 715

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

โ€Œโ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

โ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œุฒู†ุฌูŠุฑู‡โ€Œ**ุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œูˆุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œ

โ€Œโ€Œฺ†ฺฉูŠุฏู‡:โ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€ŒูŠฺฉู„ู…ุงุชโ€Œฺฉู„ูŠุฏ

DC

โ€Œ1.โ€Œู…ู‚ุฏู…ู‡1

โ€Œ33/6/13ุชุงุฑูŠุฎโ€Œูˆุตูˆู„:โ€Œโ€Œ15/4/11ุชุงุฑูŠุฎโ€ŒุชุตูˆูŠุจ:โ€Œ

โ€ŒฺฉูˆุดุงุŒ ุญู…ูŠุฏุฑุถุง[email protected]

โ€Œู…ุณุฆูˆู„โ€Œ ุฏฺฉุชุฑโ€Œู…ู‚ุงู„ู‡:ู†ูˆูŠุณู†ุฏู‡[email protected]

1. Decision Calculus

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2 Decision Maker

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1313 ุฎู€ู€ุฑุฏุงุฏุŒ 25ุŒ ุฌู„ู€ู€ุฏ 1ุดู…ู€ู€ุงุฑู‡

111111--121222ุตูุญู€ู€ู€ู‡ ุตูุญู€ู€ู€ู‡

hhttttpp::////IIJJIIEEPPMM..iiuusstt..aacc..iirr//

ISSN: 2008-4870

DC

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โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 111

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

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1 Decision Analysis 2 Systems Dynamics 3 Relationship Marketing

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ู‡ุงูŠโ€Œโ€Œโ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€ŒูพูŠุดูŠู†ู‡โ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู….โ€Œ2โ€ŒุจุงุฒุงุฑูŠุงุจูŠ

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112 ุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

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โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 113

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

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114 ุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

โ€Œโ€Œ1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฌู„ุฏโ€Œโ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

โ€Œ.โ€ŒุชุฎุตูŠุตโ€Œู…ู†ุงุจุนโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œู…ุชฺฉูŠโ€Œุจุฑโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…3

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Page 7: Application of Decision Calculus in Allocation of ...

โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 117

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

ta

-

m

t

m

i

tt aaefMin1 1

22 )ห†(

m

tb

t

b

t

atAw

AacaafMin

1

2

1

00 ))((1

1

1b1w

0

0

1

1

w

f

b

f

0)(

).)((

0)(

ln).)((

12

11

00

1 11

00

1

1

1

1

1

1

1

1

m

tb

t

b

t

b

t

b

t

at

m

tb

t

t

b

t

b

t

b

t

at

Aw

A

Aw

Aacaa

Aw

AA

Aw

Aacaa

1b1w

ู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒุฑูˆูŠฺฉุฑุฏูŠโ€ŒุฌุฏูŠุฏโ€ŒุจุฑุงูŠโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡.โ€Œ4โ€Œุจู‡โ€Œูƒู…ูƒโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…

CE

][

][

โ€Œู‡ุงูŠโ€Œุงุฑุชุจุงุทโ€Œุจุงโ€Œู…ุดุชุฑูŠุดู†ุงุณุงูŠูŠโ€Œุญุงู„ุช.โ€Œ5-1

][][

][

][

1 Transition Matrix 2 Telecommunication Industry 3 Former Customers

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Page 8: Application of Decision Calculus in Allocation of ...

116 ุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

โ€Œโ€Œ1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฌู„ุฏโ€Œโ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

RFM][

RecencyFrequency

Monetary

-

][

][

][

โ€Œุชู‡ูŠู‡โ€Œู…ุงุชุฑูŠุณโ€Œุงู†ุชู‚ุงู„โ€Œุจู‡โ€Œฺฉู…ฺฉโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œ.5-2-

-

ij

ij

ijwijb

),( ijij pS

1 Switching Cost

0)(

).)((

0)(

ln).)((

12

,

,

,

,00

1 ,

,,

,

,00

m

tb

tijij

b

tij

b

tijij

b

tij

ijijij

t

ij

m

tb

tijij

tij

b

tij

b

tijij

b

tij

ijijij

t

ij

ij

ij

ij

ij

ij

ij

ij

ij

Sw

S

Sw

Spcpp

Sw

SS

Sw

Spcpp

ijbijw

โ€Œุจูˆุฏุฌู‡โ€Œโ€Œ.5-3 โ€ŒุชุฎุตูŠุต โ€Œุฌู‡ุช โ€Œู…ุฎุชู„ู โ€Œุณู†ุงุฑูŠูˆู‡ุงูŠ ุงุชุฎุงุฐโ€Œุงุฑุชุจุงุทโ€Œุจุงโ€Œู…ุดุชุฑูŠ

โ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡ูŠู†ู‡โ€Œ.5-4

-

-

][

โ€Œ.โ€Œู…ุซุงู„โ€ŒุนุฏุฏูŠโ€Œูˆโ€Œุจุญุซ7

][

][

][1ู…ุซุงู„โ€ŒุนุฏุฏูŠโ€Œ

][

2 Irreducible

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Page 9: Application of Decision Calculus in Allocation of ...

โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 115

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

60%

][

1%

0.650.05

][

][

23.271,10,04.3,43.472,93.1 2211 wbwb

0)(

).)01.060.0(01.0(

0)(

ln).)01.060.0(01.0(

3

12

11

3

1 11

1

1

1

1

1

1

1

1

tb

t

b

t

b

t

b

tt

tb

t

t

b

t

b

t

b

tt

Aw

A

Aw

Aa

Aw

AA

Aw

Aa

31.176,48.1 11 bw

2ู…ุซุงู„โ€ŒุนุฏุฏูŠโ€Œ

ฺฏุงู…โ€Œุงูˆู„

โ€Œฺฏุงู…โ€Œุฏูˆู…

(i,j)

ij

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Page 10: Application of Decision Calculus in Allocation of ...

111 ุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

โ€Œโ€Œ1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฌู„ุฏโ€Œโ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

12,12

12,1111,112,11

12,1011,102,10

12,910,92,9

12,89,88,8

12,79,78,7

12,69,67,6

12,59,56,5

12,49,45,4

12,39,34,3

12,29,23,2

2,11,1

00000000000

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][

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ii

ii

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ij

0

ijPijc

ijijS

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8,8

8,8

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i

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ii

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Page 11: Application of Decision Calculus in Allocation of ...

โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 111

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

i

i

i

-

)1)(1( 1,9, iiii pp

)1( 1,12, iiii pp

2,

2,

2,

0

2,2,

0

2,2, )(i

i

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ii

b

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Spcpp

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i

ibd

d

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)1( 2,12, iii pp

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tt

m

tb

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t

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Sp

Sw

SS

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Sp

ูŠ. ู…ู‚ุงุฏูŠุฑ ูพุงุฑุงู…ุชุฑู‡ุงูŠ ูˆุฑูˆุฏ1ุฌุฏูˆู„

ุงู„ุชู… ุงุญ

ู†ู‡ู…ูŠุฎโ€Œฺฉ

ู†ุฑ

ู†ู‡ุดูŠ

ุฎโ€ŒุจูŠ ู†ุฑ

ูˆู„ุจโ€Œุง

ุฌูˆุงุฌโ€Œ ุฒูˆ

ูˆู…ุจโ€Œุฏ

ุฌูˆุงุฌโ€Œ ุฒูˆ

0.4 0.85

0.6 0.9

0.65 0.95

0.7 0.95

0.7 0.95

0.7 0.95

0.7 0.95

0.3 0.9

0.2 0.8

0.1 0.4

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Page 12: Application of Decision Calculus in Allocation of ...

123 ุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

โ€Œโ€Œ1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฌู„ุฏโ€Œโ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

. ู…ู‚ุงุฏูŠุฑ ุจุฑุขูˆุฑุฏ ุดุฏู‡ ูพุงุฑุงู…ุชุฑู‡ุง ู†ุงู…ุนู„ูˆู…2ุฌุฏูˆู„

ฺฏุงู…โ€Œุณูˆู…:โ€Œ

100000000000

45.045.0000000001.00

4.04.0000000002.00

35.0035.000000003.00

15.00015.07.00000000

15.00015.07.00000000

15.00015.007.0000000

15.00015.0007.000000

175.000175.000065.00000

2.0002.000006.0000

3.0003.0000004.000

00000000002.08.0

100000000000

45.045.0000000001.00

4.04.0000000002.00

35.0035.000000003.00

15.00015.07.00000000

15.00015.07.00000000

15.00015.007.0000000

15.00015.0007.000000

175.000175.000065.00000

2.0002.000006.0000

285.000285.00000043.000

000000000054.046.0

100000000000

42.042.00000000016.00

335.0335.00000000033.00

285.00285.0000000043.00

14.00014.072.00000000

14.00014.072.00000000

14.00014.0072.0000000

14.00014.00072.000000

155.000155.000067.00000

19.00019.0000062.0000

285.000285.00000043.000

00000000002.08.0

โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠฺฏุงู…โ€Œฺ†ู‡ุงุฑู…:โ€ŒุชุฎุตูŠุตโ€Œุจู‡ูŠู†ู‡โ€Œุจูˆุฏุฌู‡

A

B

โ€Œโ€ŒฺฏูŠุฑูŠู†ุชูŠุฌู‡

ุงุญุชู…ุงู„

3.0000 94722

3.0000 99067

3.0000 94722

3.0000 94722

3.0000 99967

3.0000 99967

3.0000 99967

3.0000 99967

3.0000 99159

3.0000 94722

3.0000 99171

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โ€Œโ€Œุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€Œุตโ€Œุจูˆุฏุฌู‡ูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠโ€Œุจู‡ 121

1ุดู…ุงุฑู‡โ€Œโ€Œ-27ุฏโ€Œุฌู„โ€Œ-โ€Œ1313ุฎู€ู€ุฑุฏุงุฏู†ุดุฑูŠู‡โ€ŒุจูŠู†โ€Œุงู„ู…ู„ู„ูŠโ€Œู…ู‡ู†ุฏุณูŠโ€Œุตู†ุงูŠุนโ€Œูˆโ€Œู…ุฏูŠุฑูŠุชโ€Œุชูˆู„ูŠุฏุŒโ€Œโ€Œ

-

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Page 14: Application of Decision Calculus in Allocation of ...

122 ุญู…ูŠุฏุฑุถุงโ€Œฺฉูˆุดุงโ€Œูˆโ€Œุงู…ูŠุฑโ€Œุงู„ุจุฏูˆูŠโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œโ€Œู‡ุงูŠโ€Œู…ุงุฑูƒูˆูโ€Œู…ุชูƒูŠโ€Œุจุฑโ€Œุฒู†ุฌูŠุฑู‡โ€Œู‡ุงูŠโ€ŒุจุงุฒุงุฑูŠุงุจูŠโ€ŒูƒุงุฑฺฏูŠุฑูŠโ€ŒุฑูŠุงุถูŠุงุชโ€Œุชุตู…ูŠู…โ€Œุฏุฑโ€ŒุชุฎุตูŠุตโ€Œุจูˆุฏุฌู‡โ€Œุจู‡

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