Note on Program Uncertainty in the Dynamic Programming Problem

In this note we study the dynamic inventory problem for a follow-on provisioning in which the program length is subject to uncertainty with a known distribution. It is shown that under rather general cost conditions, the optimal policy is of the (S, s) type. This is true whether or not there exists...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Econometrica Ročník 30; číslo 2; s. 336 - 342
Hlavný autor: Kao, Richard C.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Menasha, Wis The Econometric Society 01.04.1962
George Banta Pub. Co. for the Econometric Society
Blackwell Publishing Ltd
Predmet:
Cost efficiency
Costs
Dynamic programming
Economic costs
Economic uncertainty
Inventories
Inventory
Optimal policy
Probability distribution
Probability distributions
Purchasing
Random variables
Supply
ISSN:0012-9682, 1468-0262
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract In this note we study the dynamic inventory problem for a follow-on provisioning in which the program length is subject to uncertainty with a known distribution. It is shown that under rather general cost conditions, the optimal policy is of the (S, s) type. This is true whether or not there exists a time lag in delivery provided that excess demand is always backlogged. The case of an infinite program horizon is also briefly discussed.
AbstractList In this note we study the dynamic inventory problem for a follow-on provisioning in which the program length is subject to uncertainty with a known distribution. It is shown that under rather general cost conditions, the optimal policy is of the (S, s) type. This is true whether or not there exists a time lag in delivery provided that excess demand is always backlogged. The case of an infinite program horizon is also briefly discussed.
Author Kao, Richard C.
Author_xml – sequence: 1
  givenname: Richard C.
  surname: Kao
  fullname: Kao, Richard C.
BookMark eNp10E1LAzEQBuAgFWyr-BcWFTytzsxmN5uLIPUTinqw5yVJs3VLN6nZ9NB_75bWY2Fg5vAww7wjNnDeWcYuEe4oA3GPEoGITtgQeVGmQAUN2BAAKZVFSWds1HVLAMj7GrKHDx9t4l3yFfwiqDaZOWNDVI2L26RxSfyxydPWqbYx_6Rt3GI365Vtz9lprVadvTj0MZu9PH9P3tLp5-v75HGaGgKMKdc0NyjUHLQuQZVWSC2EMHmtsppyQqpzXgrkKsu04IA6z6UEOTdGoJU6G7Or_d518L8b28Vq6TfB9Scr2r2JWMgeXR9DSLLgWSE59ep2r0zwXRdsXa1D06qwrRCqXYLVIcFe3uzlsos-HGV_C5RsyA
CODEN ECMTA7
ContentType Journal Article
Copyright Copyright 1962 The Econometric Society
Copyright Econometric Society Apr 1962
Copyright_xml – notice: Copyright 1962 The Econometric Society
– notice: Copyright Econometric Society Apr 1962
DBID AAYXX
CITATION
FIXVA
FKUCP
JILTI
K30
PAAUG
PAWHS
PAWZZ
PAXOH
PBHAV
PBQSW
PBYQZ
PCIWU
PCMID
PCZJX
PDGRG
PDWWI
PETMR
PFVGT
PGXDX
PIHIL
PISVA
PJCTQ
PJTMS
PLCHJ
PMHAD
PNQDJ
POUND
PPLAD
PQAPC
PQCAN
PQCMW
PQEME
PQHKH
PQMID
PQNCT
PQNET
PQSCT
PQSET
PSVJG
PVMQY
PZGFC
3V.
7WY
7WZ
7XB
87Z
8FI
8FK
8FL
ABUWG
AFKRA
BENPR
BEZIV
CCPQU
DWQXO
FRNLG
FYUFA
F~G
K60
K6~
L.-
M0A
M0C
M0T
PHGZM
PHGZT
PJZUB
PKEHL
PPXIY
PQBIZ
PQBZA
PQEST
PQQKQ
PQUKI
PRINS
Q9U
DOI 10.2307/1910222
DatabaseName CrossRef
Periodicals Index Online Segment 03
Periodicals Index Online Segment 04
Periodicals Index Online Segment 32
Periodicals Index Online
Primary Sources Access—Foundation Edition (Plan E) - West
Primary Sources Access (Plan D) - International
Primary Sources Access & Build (Plan A) - MEA
Primary Sources Access—Foundation Edition (Plan E) - Midwest
Primary Sources Access—Foundation Edition (Plan E) - Northeast
Primary Sources Access (Plan D) - Southeast
Primary Sources Access (Plan D) - North Central
Primary Sources Access—Foundation Edition (Plan E) - Southeast
Primary Sources Access (Plan D) - South Central
Primary Sources Access & Build (Plan A) - UK / I
Primary Sources Access (Plan D) - Canada
Primary Sources Access (Plan D) - EMEALA
Primary Sources Access—Foundation Edition (Plan E) - North Central
Primary Sources Access—Foundation Edition (Plan E) - South Central
Primary Sources Access & Build (Plan A) - International
Primary Sources Access—Foundation Edition (Plan E) - International
Primary Sources Access (Plan D) - West
Periodicals Index Online Segments 1-50
Primary Sources Access (Plan D) - APAC
Primary Sources Access (Plan D) - Midwest
Primary Sources Access (Plan D) - MEA
Primary Sources Access—Foundation Edition (Plan E) - Canada
Primary Sources Access—Foundation Edition (Plan E) - UK / I
Primary Sources Access—Foundation Edition (Plan E) - EMEALA
Primary Sources Access & Build (Plan A) - APAC
Primary Sources Access & Build (Plan A) - Canada
Primary Sources Access & Build (Plan A) - West
Primary Sources Access & Build (Plan A) - EMEALA
Primary Sources Access (Plan D) - Northeast
Primary Sources Access & Build (Plan A) - Midwest
Primary Sources Access & Build (Plan A) - North Central
Primary Sources Access & Build (Plan A) - Northeast
Primary Sources Access & Build (Plan A) - South Central
Primary Sources Access & Build (Plan A) - Southeast
Primary Sources Access (Plan D) - UK / I
Primary Sources Access—Foundation Edition (Plan E) - APAC
Primary Sources Access—Foundation Edition (Plan E) - MEA
ProQuest Central (Corporate)
ProQuest ABI/INFORM Collection
ABI/INFORM Global (PDF only)
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Collection
Hospital Premium Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
ABI/INFORM Collection (Alumni Edition)
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central
Business Premium Collection
ProQuest One Community College
ProQuest Central
Business Premium Collection (Alumni)
Health Research Premium Collection
ABI/INFORM Global (Corporate)
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
ABI/INFORM Professional Advanced
ABI/INFORM Global (OCUL)
ABI/INFORM Global (OCUL)
Healthcare Administration Database
ProQuest Central Premium
ProQuest One Academic
ProQuest Health & Medical Research Collection
ProQuest One Academic Middle East (New)
One Health & Nursing
ProQuest One Business (OCUL)
ProQuest One Business (Alumni)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
ProQuest Central Basic
DatabaseTitle CrossRef
Periodicals Index Online Segment 04
Periodicals Index Online Segment 03
Periodicals Index Online Segments 1-50
Periodicals Index Online Segment 32
Periodicals Index Online
ABI/INFORM Global (Corporate)
ProQuest Business Collection (Alumni Edition)
ProQuest One Business
ProQuest One Academic Middle East (New)
ProQuest Central (Alumni Edition)
ProQuest One Community College
ProQuest One Health & Nursing
ProQuest Central China
ABI/INFORM Complete
ProQuest Central
ABI/INFORM Professional Advanced
Health Research Premium Collection
ProQuest Central Korea
Health & Medical Research Collection
ProQuest Central (New)
ABI/INFORM Complete (Alumni Edition)
Business Premium Collection
ABI/INFORM Global
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest One Academic Eastern Edition
ProQuest Health Management
ProQuest Hospital Collection
ProQuest Business Collection
ProQuest One Academic UKI Edition
ProQuest One Business (Alumni)
ABI/INFORM Archive
ProQuest One Academic
ProQuest One Academic (New)
ProQuest Central (Alumni)
Business Premium Collection (Alumni)
DatabaseTitleList
ABI/INFORM Global (Corporate)
Database_xml – sequence: 1
  dbid: M0T
  name: Healthcare Administration Database
  url: https://search.proquest.com/healthmanagement
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Economics
EISSN 1468-0262
EndPage 342
ExternalDocumentID 677685901
10_2307_1910222
1910222
GroupedDBID -DZ
-ET
-~X
.L6
1OC
1OL
29G
2AX
3R3
5GY
7WY
85S
8FI
8FL
8R4
8R5
AABCJ
AARRQ
AAWIL
AAXLS
ABAWQ
ABBHK
ABBNM
ABFAN
ABKVW
ABLJU
ABPFR
ABPQH
ABUWG
ABXSQ
ABYWD
ABYYQ
ACCZN
ACHJO
ACHQT
ACMTB
ACNCT
ACTMH
ACUBG
ACXJH
ADBBV
ADGDI
ADKYN
ADMHG
ADODI
ADULT
ADZMN
AENEX
AEUPB
AFAIT
AFFNX
AFKRA
AFTQD
AFVYC
AFXHP
AGKTX
AGLNM
AHAJD
AIHAF
ALIPV
ALMA_UNASSIGNED_HOLDINGS
ALRMG
ALSLI
APTMU
AQUVI
ASMEE
AS~
BENPR
BEZIV
BPHCQ
BVXVI
CBXGM
CCKSF
CCPQU
CS3
CYVLN
DQDLB
DSRWC
DU5
DWQXO
ECEWR
F5P
FEDTE
FRNLG
FVMVE
FYUFA
GROUPED_ABI_INFORM_ARCHIVE
GUPYA
HGD
HQ6
HVGLF
IPSME
JAAYA
JAS
JBC
JBMMH
JBZCM
JENOY
JHFFW
JKQEH
JLEZI
JLXEF
JMS
JPL
JPPEU
JST
K60
K6~
L7B
LH4
LW6
M0C
M0T
MS~
MVM
MY~
N9A
OIG
P2P
PHGZM
PHGZT
PQBIZ
PQBZA
PQQKQ
PROAC
Q2X
RNS
RXW
SA0
TN5
U5U
UHB
UKHRP
WBKPD
WH7
WIH
YYP
.Y3
0-V
0R~
31~
33P
4.4
702
8-1
8G5
AABNI
AAESR
AAHQN
AAMMB
AAMNL
AAOUF
AASGY
AAXRX
AAYCA
AAYXX
AAZKR
ABCUV
ABEFU
ABJNI
ABSOO
ABZIE
ACAHQ
ACBKW
ACPOU
ACXQS
ADEOM
ADMGS
ADMHC
ADXAS
AEFGJ
AEIGN
AEUYR
AEYWJ
AFBPY
AFFHD
AFFPM
AFGKR
AFWVQ
AFZJQ
AGHNM
AGXDD
AHBTC
AI.
AIDQK
AIDYY
AIURR
ALVPJ
AMYDB
ARALO
ASTYK
AZQEC
AZVAB
BFHJK
BKOMP
BMXJE
BNVMJ
BQESF
CAG
CITATION
COF
DCZOG
DRFUL
DRSSH
EBS
EJD
EOH
GNUQQ
GODZA
GROUPED_ABI_INFORM_RESEARCH
GUQSH
HGLYW
H~9
IHE
LATKE
LEEKS
LITHE
LOXES
LUTES
LYRES
M2O
M2R
MEWTI
MRFUL
MRSSH
MSFUL
MSSSH
MXFUL
MXSSH
NHB
O8X
P2W
PADUT
PJZUB
PPXIY
PRG
PRQQA
ROL
RWL
S0X
SUPJJ
TAE
VH1
WHG
WII
WOHZO
WXSBR
XSW
ZCG
ZZTAW
FIXVA
FKUCP
JILTI
K30
PAAUG
PAWHS
PAWZZ
PAXOH
PBHAV
PBQSW
PBYQZ
PCIWU
PCMID
PCZJX
PDGRG
PDWWI
PETMR
PFVGT
PGXDX
PIHIL
PISVA
PJCTQ
PJTMS
PLCHJ
PMHAD
PNQDJ
POUND
PPLAD
PQAPC
PQCAN
PQCMW
PQEME
PQHKH
PQMID
PQNCT
PQNET
PQSCT
PQSET
PSVJG
PVMQY
PZGFC
3V.
7XB
8FK
L.-
PKEHL
PQEST
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-c201t-4b2dc17ad0bb80a8e79b777c5fa3f25212f548714a33b7401b559909dcc71e9b3
IEDL.DBID M0C
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=10_2307_1910222&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0012-9682
IngestDate Sun Nov 09 07:28:54 EST 2025
Sun Nov 09 06:29:49 EST 2025
Sat Nov 29 06:25:39 EST 2025
Thu Jun 19 15:48:50 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 2
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c201t-4b2dc17ad0bb80a8e79b777c5fa3f25212f548714a33b7401b559909dcc71e9b3
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
PQID 214681169
PQPubID 1821501
PageCount 7
ParticipantIDs proquest_journals_214681169
proquest_journals_1296436942
crossref_primary_10_2307_1910222
jstor_primary_10_2307_1910222
PublicationCentury 1900
PublicationDate 19620401
PublicationDateYYYYMMDD 1962-04-01
PublicationDate_xml – month: 04
  year: 1962
  text: 19620401
  day: 01
PublicationDecade 1960
PublicationPlace Menasha, Wis
PublicationPlace_xml – name: Menasha, Wis
– name: Evanston
PublicationTitle Econometrica
PublicationYear 1962
Publisher The Econometric Society
George Banta Pub. Co. for the Econometric Society
Blackwell Publishing Ltd
Publisher_xml – name: The Econometric Society
– name: George Banta Pub. Co. for the Econometric Society
– name: Blackwell Publishing Ltd
SSID ssj0005005
Score 1.1821136
Snippet In this note we study the dynamic inventory problem for a follow-on provisioning in which the program length is subject to uncertainty with a known...
SourceID proquest
crossref
jstor
SourceType Aggregation Database
Index Database
Publisher
StartPage 336
SubjectTerms Cost efficiency
Costs
Dynamic programming
Economic costs
Economic uncertainty
Inventories
Inventory
Optimal policy
Probability distribution
Probability distributions
Purchasing
Random variables
Supply
Title Note on Program Uncertainty in the Dynamic Programming Problem
URI https://www.jstor.org/stable/1910222
https://www.proquest.com/docview/1296436942
https://www.proquest.com/docview/214681169
Volume 30
WOSCitedRecordID wos10_2307_1910222&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVPQU
  databaseName: ABI/INFORM Collection
  customDbUrl:
  eissn: 1468-0262
  dateEnd: 19851130
  omitProxy: false
  ssIdentifier: ssj0005005
  issn: 0012-9682
  databaseCode: 7WY
  dateStart: 19330101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/abicomplete
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ABI/INFORM Global
  customDbUrl:
  eissn: 1468-0262
  dateEnd: 19851130
  omitProxy: false
  ssIdentifier: ssj0005005
  issn: 0012-9682
  databaseCode: M0C
  dateStart: 19330101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/abiglobal
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Healthcare Administration Database
  customDbUrl:
  eissn: 1468-0262
  dateEnd: 19851130
  omitProxy: false
  ssIdentifier: ssj0005005
  issn: 0012-9682
  databaseCode: M0T
  dateStart: 19330101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/healthmanagement
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 1468-0262
  dateEnd: 19851130
  omitProxy: false
  ssIdentifier: ssj0005005
  issn: 0012-9682
  databaseCode: BENPR
  dateStart: 19330101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT8JAEJ4ImOjFtxF5ZA9eG9puabsXDWB5JLIQUiKcmt3tNvECCOjvd7e0EkP04qXZZHpovm7n0flmP4AHEsskdjk3EhX-VYHCuO7v-oZoMkyaQqisQ6RiEx6l_mxGxhk3Z5PRKnOfmDrqeCn0P_KGFqD2LcslT6t3Q4tG6eZqpqBRgJJObDSjb2h29gwP08wEDGyDuL69n5ltqCpFVzo_gtGOj3jgk9NA0z3_5yNewFmWYaLWbktcwpFcXMFJPoC8uYZHOgoDNKJoPBn1Jq0hmtJOMAlbAxrO0YCisB-g5zltqReU3zIc0J5et1-C4Q1Mu0HY6RuZjIIhVHTfGg63Y2F5LDY5903mS49wz_NEM2E4sfXsbqLLFsthGHMt0Mf1KWQmiYXwLEk4voXiYrmQd4Awd33pEIu5nDhmgn2Vj6gFI5wl2JGyDCjHM1rtTsuIVJWhIY8yyMtQS3H-3V7NwY2yz2kTWbo5jF3iKHPl0PwN_P2f1gqcKn9j73g3VShu1x-yBsfic_u2Wdeh4L3O61BqB3Q8qac7Kb2GX_3cx3A
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3JTsMwEB2xSXBhR-z4AMeoSZwm8QFQKIFGtC6qUqk9BdtxJC5toQXER_GP2FlACMGNAzdLE0WW32SWzIwfwDFJZZa6nBuZcv8qQWFc13d9Q9QZJnUhVNQhcrIJj1K_3ye3M_BWzcLotsrKJuaGOh0J_Y-8pgmofctyyfn4wdCkUbq4WjFoFFpxI19fVMY2OY0uFbwntn0Vxo2mUZIKGEL5uqnhcDsVlsdSk3PfZL70CPc8T9QzhjNbT7JmOoi3HIYx13R1XN_JZZJUCM-ShGP13lmYdxz1dehOQbPx2VFimiVhgm0Q17c_Z3RrKivSmdUX51f0P37zAblju1r5Z0eyCstlBI2CQuXXYEYO12GxGrCebMAZ7cQh6lB02-1cd4M26tFG2I2DiMYDFFEUN0N0OaCBUsDqkXZEr_X6ohW2N6H3J9vfgrnhaCi3AWHu-tIhFnM5ccwM-yreUgtGOMuwI-UOoAq_ZFzcBpKoLEpDnJQQ78BBjuvP8v0KzKQ0F5PE0sVv7BJHife-iz-A3v1VegSLzbjdSloRvdmDJWVb7aLHaB_mpo9P8gAWxPP0fvJ4mOstgru_1op3Qocfzw
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Note+on+Program+Uncertainty+in+the+Dynamic+Programming+Problem&rft.jtitle=Econometrica&rft.au=Kao%2C+Richard+C.&rft.date=1962-04-01&rft.issn=0012-9682&rft.volume=30&rft.issue=2&rft.spage=336&rft_id=info:doi/10.2307%2F1910222&rft.externalDBID=n%2Fa&rft.externalDocID=10_2307_1910222
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0012-9682&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0012-9682&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0012-9682&client=summon