Application of Decision Calculus in Allocation of ...
Transcript of 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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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 715
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
โโูุงูโุจุงุฒุงุฑูุงุจูโู ุชููโุจุฑโโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โูุงูโู ุงุฑูููโุฒูุฌูุฑูโ**ุงู ูุฑโุงูุจุฏููโูุญู ูุฏุฑุถุงโฺฉูุดุงโ
โโฺฺฉูุฏู:โโโโโโโโโโโโโโโโโโโโโโโโโโฺูฉูู ุงุชโฺฉููุฏ
DC
โ1.โู ูุฏู ู1
โ33/6/13ุชุงุฑูุฎโูุตูู:โโ15/4/11ุชุงุฑูุฎโุชุตููุจ:โ
โฺฉูุดุงุ ุญู ูุฏุฑุถุง[email protected]
โู ุณุฆููโ ุฏฺฉุชุฑโู ูุงูู:ูููุณูุฏู[email protected]
1. Decision Calculus
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2 Decision Maker
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1313 ุฎููุฑุฏุงุฏุ 25ุ ุฌูููุฏ 1ุดู ููุงุฑู
111111--121222ุตูุญูููู ุตูุญูููู
hhttttpp::////IIJJIIEEPPMM..iiuusstt..aacc..iirr//
ISSN: 2008-4870
DC
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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 111
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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Management Science
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1 Decision Analysis 2 Systems Dynamics 3 Relationship Marketing
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ูุงูโโโุฏุฑโุชุฎุตูุตโุจูุฏุฌูโูพูุดูููโุฑูุงุถูุงุชโุชุตู ูู .โ2โุจุงุฒุงุฑูุงุจู
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112 ุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โโ1ุดู ุงุฑูโโ-27ุฌูุฏโโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 113
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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114 ุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โโ1ุดู ุงุฑูโโ-27ุฌูุฏโโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
โ.โุชุฎุตูุตโู ูุงุจุนโุจุงุฒุงุฑูุงุจูโู ุชฺฉูโุจุฑโุฑูุงุถูุงุชโุชุตู ูู 3
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โูพฺููุฏฺฏูโุดุฑุงูุท
โูุงโุจุฑโุงุณุงุณโูพฺููุฏฺฏูโูโุฏุณุชุฑุณูโุจูโุงุทูุงุนุงุชุฏูโุงุฒโู ุฏู.โูพูุดููุงุฏูโุจุฑุงูโุงุณุชูุง2ุดฺฉูโ
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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 117
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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ูุงูโุจุงุฒุงุฑูุงุจูโุฑฺููฉุฑุฏูโุฌุฏูุฏโุจุฑุงูโุชุฎุตูุตโุจูุฏุฌู.โ4โุจูโูู ูโุฑูุงุถูุงุชโุชุตู ูู
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116 ุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โโ1ุดู ุงุฑูโโ-27ุฌูุฏโโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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โุชุฎุตูุตโุจูุฏุฌูโุจููููโ.5-4
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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 115
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
60%
][
1%
0.650.05
][
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ฺฏุงู โุงูู
โฺฏุงู โุฏูู
(i,j)
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111 ุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โโ1ุดู ุงุฑูโโ-27ุฌูุฏโโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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
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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 111
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
i
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ู. ู ูุงุฏูุฑ ูพุงุฑุงู ุชุฑูุงู ูุฑูุฏ1ุฌุฏูู
ุงูุชู ุงุญ
ููู ูุฎโฺฉ
ูุฑ
ููุดู
ุฎโุจู ูุฑ
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ุฌูุงุฌโ ุฒู
ูู ุจโุฏ
ุฌูุงุฌโ ุฒู
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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123 ุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โโ1ุดู ุงุฑูโโ-27ุฌูุฏโโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
. ู ูุงุฏูุฑ ุจุฑุขูุฑุฏ ุดุฏู ูพุงุฑุงู ุชุฑูุง ูุงู ุนููู 2ุฌุฏูู
ฺฏุงู โุณูู :โ
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
โูุงูโุจุงุฒุงุฑูุงุจฺูฏุงู โฺูุงุฑู :โุชุฎุตูุตโุจููููโุจูุฏุฌู
A
B
โโฺฏูุฑููุชูุฌู
ุ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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โโุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโุตโุจูุฏุฌููุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูโุจู 121
1ุดู ุงุฑูโโ-27ุฏโุฌูโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
-
] [
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122 ุญู ูุฏุฑุถุงโฺฉูุดุงโูโุงู ูุฑโุงูุจุฏููโโโโโโโโโโโโโโโูุงูโู ุงุฑูููโู ุชููโุจุฑโุฒูุฌูุฑูโูุงูโุจุงุฒุงุฑูุงุจูโูุงุฑฺฏูุฑูโุฑูุงุถูุงุชโุชุตู ูู โุฏุฑโุชุฎุตูุตโุจูุฏุฌูโุจู
โโ1ุดู ุงุฑูโโ-27ุฌูุฏโโ-โ1313ุฎููุฑุฏุงุฏูุดุฑููโุจููโุงูู ูููโู ููุฏุณูโุตูุงูุนโูโู ุฏูุฑูุชโุชูููุฏุโโ
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