Stability analysis of constrained inventory systems with transportation delay

► The stability and periodicity of an inventory system with Forbidden Returns is studied. ► Complex and diversified set of behaviours and patterns exist in the asymptotically unstable region. ► Accurate lead-time information is essential to eliminate inventory drift and system instability. Stability...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	European journal of operational research Jg. 223; H. 1; S. 86 - 95
Hauptverfasser:	Wang, Xun, Disney, Stephen M., Wang, Jing
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier B.V 16.11.2012 Elsevier Elsevier Sequoia S.A
Schlagworte:	Applied sciences Asymptotic properties Boundaries Complexity theory Dynamical systems Exact sciences and technology Inventories Inventory Inventory control, production control. Distribution Inventory management Logistics Nonlinear dynamics Operational research and scientific management Operational research. Management science Operations research Policies Production controls Stability Stockpiling Studies System dynamics Systems stability Transportation System dynamics Complexity theory Inventory Logistics Chaos Divergence Refeeding Transportation system Optimal policy Dynamical system Modeling Linear model Asymptotic stability Replenishment Setup time Inventory control Eigenvalue problem Production system Travel time Periodicity Delay system Non linear system Computational complexity Production management Economic order quantity Piecewise linearization Piecewise-linear techniques
ISSN:	0377-2217, 1872-6860
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Abstract	► The stability and periodicity of an inventory system with Forbidden Returns is studied. ► Complex and diversified set of behaviours and patterns exist in the asymptotically unstable region. ► Accurate lead-time information is essential to eliminate inventory drift and system instability. Stability is a fundamental design property of inventory systems. However, the often exploited linearity assumptions in the current literature create a major gap between theory and practice. In this paper the stability of a constrained production and inventory system with a Forbidden Returns constraint (that is, a non-negative order rate) is studied via a piecewise linear model, an eigenvalue analysis and a simulation investigation. The APVIOBPCS (Automatic Pipeline, Variable Inventory and Order Based Production Control System) and EPVIOBPCS (Estimated Pipeline, Variable Inventory and Order Based Production Control System) replenishment policies are adopted. Surprisingly, all kinds of non-linear dynamical behaviours of systems can be observed in these simple models. Exact expressions of the asymptotic stability boundaries and Lyapunovian stability boundaries are derived when actual and perceived transportation lead-time is 1 and 2 periods long respectively. Asymptotically stable regions in the non-linear Forbidden Return systems are identical to the stable regions in its unconstrained counterpart. However, regions of bounded fluctuations that continue forever, including both periodicity and chaos, exist in the parametrical plane outside the asymptotically stable region. Simulation shows a complex and delicate structure in these regions. The results suggest that accurate lead-time information is essential to eliminate inventory drift and instability and that ordering policies have to be designed properly in accordance with the actual lead-time to avoid these fluctuations and divergence.
AbstractList	Stability is a fundamental design property of inventory systems. However, the often exploited linearity assumptions in the current literature create a major gap between theory and practice. In this paper the stability of a constrained production and inventory system with a Forbidden Returns constraint (that is, a non-negative order rate) is studied via a piecewise linear model, an eigenvalue analysis and a simulation investigation. The APVIOBPCS (Automatic Pipeline, Variable Inventory and Order Based Production Control System) and EPVIOBPCS (Estimated Pipeline, Variable Inventory and Order Based Production Control System) replenishment policies are adopted. Surprisingly, all kinds of non-linear dynamical behaviours of systems can be observed in these simple models. Exact expressions of the asymptotic stability boundaries and Lyapunovian stability boundaries are derived when actual and perceived transportation lead-time is 1 and 2 periods long respectively. Asymptotically stable regions in the non-linear Forbidden Return systems are identical to the stable regions in its unconstrained counterpart. However, regions of bounded fluctuations that continue forever, including both periodicity and chaos, exist in the parametrical plane outside the asymptotically stable region. Simulation shows a complex and delicate structure in these regions. The results suggest that accurate lead-time information is essential to eliminate inventory drift and instability and that ordering policies have to be designed properly in accordance with the actual lead-time to avoid these fluctuations and divergence. ► The stability and periodicity of an inventory system with Forbidden Returns is studied. ► Complex and diversified set of behaviours and patterns exist in the asymptotically unstable region. ► Accurate lead-time information is essential to eliminate inventory drift and system instability. Stability is a fundamental design property of inventory systems. However, the often exploited linearity assumptions in the current literature create a major gap between theory and practice. In this paper the stability of a constrained production and inventory system with a Forbidden Returns constraint (that is, a non-negative order rate) is studied via a piecewise linear model, an eigenvalue analysis and a simulation investigation. The APVIOBPCS (Automatic Pipeline, Variable Inventory and Order Based Production Control System) and EPVIOBPCS (Estimated Pipeline, Variable Inventory and Order Based Production Control System) replenishment policies are adopted. Surprisingly, all kinds of non-linear dynamical behaviours of systems can be observed in these simple models. Exact expressions of the asymptotic stability boundaries and Lyapunovian stability boundaries are derived when actual and perceived transportation lead-time is 1 and 2 periods long respectively. Asymptotically stable regions in the non-linear Forbidden Return systems are identical to the stable regions in its unconstrained counterpart. However, regions of bounded fluctuations that continue forever, including both periodicity and chaos, exist in the parametrical plane outside the asymptotically stable region. Simulation shows a complex and delicate structure in these regions. The results suggest that accurate lead-time information is essential to eliminate inventory drift and instability and that ordering policies have to be designed properly in accordance with the actual lead-time to avoid these fluctuations and divergence. Stability is a fundamental design property of inventory systems. However, the often exploited linearity assumptions in the current literature create a major gap between theory and practice. In this paper the stability of a constrained production and inventory system with a Forbidden Returns constraint (that is, a non-negative order rate) is studied via a piecewise linear model, an eigenvalue analysis and a simulation investigation. The APVIOBPCS (Automatic Pipeline, Variable Inventory and Order Based Production Control System) and EPVIOBPCS (Estimated Pipeline, Variable Inventory and Order Based Production Control System) replenishment policies are adopted. Surprisingly, all kinds of non-linear dynamical behaviours of systems can be observed in these simple models. Exact expressions of the asymptotic stability boundaries and Lyapunovian stability boundaries are derived when actual and perceived transportation lead-time is 1 and 2 periods long respectively. Asymptotically stable regions in the non-linear Forbidden Return systems are identical to the stable regions in its unconstrained counterpart. However, regions of bounded fluctuations that continue forever, including both periodicity and chaos, exist in the parametrical plane outside the asymptotically stable region. Simulation shows a complex and delicate structure in these regions. The results suggest that accurate lead-time information is essential to eliminate inventory drift and instability and that ordering policies have to be designed properly in accordance with the actual lead-time to avoid these fluctuations and divergence. [PUBLICATION ABSTRACT]
Author	Disney, Stephen M. Wang, Jing Wang, Xun
Author_xml	– sequence: 1 givenname: Xun surname: Wang fullname: Wang, Xun email: paul.wong.buaa@gmail.com organization: School of Economics and Management, BeiHang University, Beijing 100191, China – sequence: 2 givenname: Stephen M. surname: Disney fullname: Disney, Stephen M. email: disneysm@cardiff.ac.uk organization: Logistic Systems Dynamics Group, Cardiff Business School, Cardiff University, Aberconway Building, Colum Drive, Cardiff CF10 3EU, UK – sequence: 3 givenname: Jing surname: Wang fullname: Wang, Jing email: pekwjing@public.bta.net.cn organization: School of Economics and Management, BeiHang University, Beijing 100191, China
BackLink	http://www.econis.eu/PPNSET?PPN=72531804X$$DView this record in ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26224555$$DView record in Pascal Francis
BookMark	eNp9kU-LFDEQxYOs4OzqF_Bigwheus2fTjoDXmTRXWHFgwreQiapxjQ9yZjKrPS3N82MIHvYUw71e5V6712Si5giEPKS0Y5Rpt5NHUwpd5wy3lHVUdY_IRumB94qregF2VAxDC3nbHhGLhEnSimTTG7Il2_F7sIcytLYaOcFAzZpbFyKWLINEXwT4j3EkvLS4IIF9tj8CeVXU8cRDykXW0KKjYfZLs_J09HOCC_O7xX58enj9-vb9u7rzefrD3et69W2tMp7GDhYz_zghOq5VcqvF46D3faC-90IlAornFL9VgGVbuQSmPY7kIJTcUXenvYecvp9BCxmH9DBPNsI6YiGVadaC8VERV8_QKd0zNVqpaigXG210JV6c6YsOjuP1ZsLaA457G1eDFec91LKyr06cVAT-g8YuBRM0_5nJfSJcDkhZhiNC6eI1jzn-qlZGzOTWRsza2OGKlMbq1L-QPpv_aOi9-eLat73AbJBFyA68CGDK8an8Jj8L4XOsO4
CODEN	EJORDT
CitedBy_id	crossref_primary_10_1080_00207543_2018_1442948 crossref_primary_10_1080_00207543_2019_1566669 crossref_primary_10_1016_j_ijpe_2023_109061 crossref_primary_10_1002_joom_1005 crossref_primary_10_1016_j_ejor_2024_01_006 crossref_primary_10_3390_app11156962 crossref_primary_10_1016_j_ifacol_2020_12_063 crossref_primary_10_1080_13675567_2016_1168378 crossref_primary_10_1016_j_amc_2014_09_078 crossref_primary_10_1016_j_ijpe_2016_12_003 crossref_primary_10_1080_21681015_2020_1729877 crossref_primary_10_3390_e18110416 crossref_primary_10_1016_j_cie_2020_106925 crossref_primary_10_1080_00207543_2017_1396507 crossref_primary_10_1108_SCM_01_2014_0007 crossref_primary_10_1155_2016_6823934 crossref_primary_10_1080_00207543_2018_1526420 crossref_primary_10_16984_saufenbilder_342278 crossref_primary_10_1016_j_cie_2014_04_008 crossref_primary_10_4018_IJEIS_2018040104 crossref_primary_10_1016_j_chaos_2017_05_034 crossref_primary_10_1016_j_jmsy_2014_08_001 crossref_primary_10_1155_2019_3194093 crossref_primary_10_1016_j_jfranklin_2020_09_018 crossref_primary_10_1016_j_ijpe_2019_107531 crossref_primary_10_1016_j_ejor_2022_04_020 crossref_primary_10_1016_j_apm_2021_04_007 crossref_primary_10_1080_00207543_2018_1521025 crossref_primary_10_1016_j_arcontrol_2020_04_003 crossref_primary_10_1016_j_ifacol_2019_11_494 crossref_primary_10_1186_s10033_018_0309_3 crossref_primary_10_1155_2020_7393848 crossref_primary_10_1007_s12351_018_0435_9 crossref_primary_10_1016_j_arcontrol_2018_10_014 crossref_primary_10_1016_j_ifacol_2018_08_279 crossref_primary_10_1016_j_ijpe_2020_107886 crossref_primary_10_1016_j_ejor_2014_11_021 crossref_primary_10_1016_j_ejor_2017_02_010 crossref_primary_10_1016_j_tre_2018_01_014 crossref_primary_10_1080_00207543_2015_1076945 crossref_primary_10_1109_TAC_2022_3217110 crossref_primary_10_1016_j_ejor_2015_07_022 crossref_primary_10_1016_j_ifacol_2018_07_226 crossref_primary_10_1080_00207543_2023_2175174 crossref_primary_10_1016_j_ejor_2015_12_004 crossref_primary_10_1016_j_cor_2022_106080 crossref_primary_10_1016_j_ifacol_2015_09_396 crossref_primary_10_1108_IJLM_02_2021_0121
Cites_doi	10.1080/00207540110085629 10.1016/S0377-2217(02)00369-7 10.1016/j.ijpe.2009.04.024 10.1016/j.ijpe.2010.05.011 10.2307/1907849 10.1080/002077200412122 10.1016/j.ejor.2006.12.014 10.1016/S0377-2217(98)90349-6 10.1016/j.arcontrol.2010.08.003 10.1177/014233128901100406 10.1016/j.ijpe.2006.09.004 10.1016/S0305-0483(03)00028-8 10.1016/j.cor.2004.06.016 10.1093/imaman/dpm033 10.1080/00207548208947797 10.1002/sdr.4260040108 10.1080/00207540310001621846 10.1016/j.physa.2003.12.020 10.1016/j.ijpe.2004.06.031 10.1002/sdr.378 10.1016/j.omega.2004.04.001 10.1016/j.ijpe.2009.12.010 10.1016/j.ejor.2005.01.043 10.1016/j.automatica.2006.04.004 10.1016/j.cor.2007.01.017
ContentType	Journal Article
Copyright	2012 Elsevier B.V. 2015 INIST-CNRS Copyright Elsevier Sequoia S.A. Nov 16, 2012
Copyright_xml	– notice: 2012 Elsevier B.V. – notice: 2015 INIST-CNRS – notice: Copyright Elsevier Sequoia S.A. Nov 16, 2012
DBID	AAYXX CITATION OQ6 IQODW 7SC 7TB 8FD FR3 JQ2 L7M L~C L~D 7TA JG9
DOI	10.1016/j.ejor.2012.06.014
DatabaseName	CrossRef ECONIS Pascal-Francis Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Materials Business File Materials Research Database
DatabaseTitle	CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional Materials Research Database Materials Business File
DatabaseTitleList	Materials Research Database Technology Research Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering Computer Science Business Applied Sciences
EISSN	1872-6860
EndPage	95
ExternalDocumentID	2724855551 26224555 72531804X 10_1016_j_ejor_2012_06_014 S0377221712004699
Genre	Feature
GroupedDBID	--K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5VS 6OB 7-5 71M 8P~ 9JN 9JO AAAKF AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AAOAW AAQFI AARIN AAXUO AAYFN ABAOU ABBOA ABFNM ABFRF ABJNI ABMAC ABUCO ABXDB ABYKQ ACAZW ACDAQ ACGFO ACGFS ACIWK ACNCT ACNNM ACRLP ACZNC ADBBV ADEZE ADGUI ADMUD AEBSH AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHZHX AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD APLSM ARUGR AXJTR BKOJK BKOMP BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HAMUX HZ~ IHE J1W KOM LY1 M41 MHUIS MO0 MS~ N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 RIG ROL RPZ RXW SCC SDF SDG SDP SDS SES SPC SPCBC SSB SSD SSV SSW SSZ T5K TAE TN5 U5U XPP ZMT ~02 ~G- 1OL 29G 41~ 9DU AAAKG AALRI AAQXK AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADIYS ADJOM ADNMO ADXHL AEIPS AEUPX AFFNX AFJKZ AFPUW AGQPQ AI. AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CITATION EFKBS FEDTE FGOYB HVGLF R2- SEW VH1 WUQ ~HD AAYOK OQ6 AFXIZ AGCQF AGRNS BNPGV IQODW SSH 7SC 7TB 8FD FR3 JQ2 L7M L~C L~D 7TA JG9
ID	FETCH-LOGICAL-c469t-6dde72ead1d7c3642a66d0377f7a9432dbfe003a3c66496e05cf25e18dbe53203
ISICitedReferencesCount	56
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000307796100008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0377-2217
IngestDate	Sat Sep 27 18:31:48 EDT 2025 Sun Nov 09 08:31:26 EST 2025 Mon Jul 21 09:15:01 EDT 2025 Sat Mar 08 16:23:37 EST 2025 Sat Nov 29 01:41:06 EST 2025 Tue Nov 18 22:43:52 EST 2025 Fri Feb 23 02:32:27 EST 2024
IsPeerReviewed	true
IsScholarly	true
Issue	1
Keywords	System dynamics Complexity theory Inventory Logistics Chaos Divergence Refeeding Transportation system Optimal policy Dynamical system Modeling Linear model Asymptotic stability Replenishment Setup time Inventory control Eigenvalue problem Production system Travel time Periodicity Delay system Non linear system Computational complexity Production management Economic order quantity Piecewise linearization Piecewise-linear techniques
Language	English
License	https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0
LinkModel	OpenURL
MergedId	FETCHMERGED-LOGICAL-c469t-6dde72ead1d7c3642a66d0377f7a9432dbfe003a3c66496e05cf25e18dbe53203
Notes	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
PQID	1030269838
PQPubID	45678
PageCount	10
ParticipantIDs	proquest_miscellaneous_1221883613 proquest_journals_1030269838 pascalfrancis_primary_26224555 econis_primary_72531804X crossref_citationtrail_10_1016_j_ejor_2012_06_014 crossref_primary_10_1016_j_ejor_2012_06_014 elsevier_sciencedirect_doi_10_1016_j_ejor_2012_06_014
PublicationCentury	2000
PublicationDate	2012-11-16
PublicationDateYYYYMMDD	2012-11-16
PublicationDate_xml	– month: 11 year: 2012 text: 2012-11-16 day: 16
PublicationDecade	2010
PublicationPlace	Amsterdam
PublicationPlace_xml	– name: Amsterdam
PublicationTitle	European journal of operational research
PublicationYear	2012
Publisher	Elsevier B.V Elsevier Elsevier Sequoia S.A
Publisher_xml	– name: Elsevier B.V – name: Elsevier – name: Elsevier Sequoia S.A
References	Riddalls, Bennett (b0110) 2002; 40 John, Naim, Towill (b0060) 1994; 1 Hwarng, Xie (b0055) 2008; 184 Coleman, J.C., 1988. Lead time reduction for system simplification, M.Sc dissertation. Cardiff University, UK. Nagatani, Helbing (b0100) 2004; 335 Chaharsooghi, Heydari (b0005) 2010; 124 Thomsen, Mosekilde, Sterman (b0140) 1992; 9 Rossi, Tarim, Hnich, Prestwich (b0120) 2010; 127 Hosoda, Disney (b0050) 2009; 121 Edghill, Towill (b0040) 1989; 11 Jury (b0065) 1974 Wu, Zhang (b0160) 2007; 107 Disney, Towill (b0030) 2005 Disney, Towill (b0025) 2003; 31 Warburton, Disney, Towill, Hodgson (b0155) 2004; 42 Rodrigues, Boukas (b0115) 2006; 42 Laugessen, Mosekilde (b0080) 2006; 33 Mosekilde, Laugessen (b0095) 2007; 23 Riddalls, Bennett, Tipi (b0105) 2000; 31 Mosekilde, Larsen (b0090) 1988; 4 Sarimveis, Patrinos, Tarantilis, Kiranoudis (b0125) 2008; 35 Towill (b0145) 1982; 20 Sun (b0135) 2010; 34 Wang, Wee, Gao, Chung (b0150) 2005; 33 Kim, Chatfield, Harrison, Hayya (b0070) 2006; 173 Liu, H., 2005. Research on dynamics of supply chain, Ph.D dissertation. Huazhong University of Science and Technology, PR China. Dejonckheere, Disney, Lambrecht, Towill (b0020) 2003 Forrester (b0045) 1961 Cheema, P.S., 1994. Dynamic analysis of and inventory and production control system with an adaptive lead-time estimator, Ph.D dissertation. Cardiff University, UK. Larsen, Morecroft, Thomsen (b0075) 1999; 119 Disney (b0035) 2008; 19 Simon (b0130) 1952; 20 Disney (10.1016/j.ejor.2012.06.014_b0025) 2003; 31 Forrester (10.1016/j.ejor.2012.06.014_b0045) 1961 Warburton (10.1016/j.ejor.2012.06.014_b0155) 2004; 42 Nagatani (10.1016/j.ejor.2012.06.014_b0100) 2004; 335 Wu (10.1016/j.ejor.2012.06.014_b0160) 2007; 107 Mosekilde (10.1016/j.ejor.2012.06.014_b0090) 1988; 4 Hwarng (10.1016/j.ejor.2012.06.014_b0055) 2008; 184 10.1016/j.ejor.2012.06.014_b0085 Simon (10.1016/j.ejor.2012.06.014_b0130) 1952; 20 Wang (10.1016/j.ejor.2012.06.014_b0150) 2005; 33 Jury (10.1016/j.ejor.2012.06.014_b0065) 1974 John (10.1016/j.ejor.2012.06.014_b0060) 1994; 1 Larsen (10.1016/j.ejor.2012.06.014_b0075) 1999; 119 Mosekilde (10.1016/j.ejor.2012.06.014_b0095) 2007; 23 Edghill (10.1016/j.ejor.2012.06.014_b0040) 1989; 11 Chaharsooghi (10.1016/j.ejor.2012.06.014_b0005) 2010; 124 Dejonckheere (10.1016/j.ejor.2012.06.014_b0020) 2003 Kim (10.1016/j.ejor.2012.06.014_b0070) 2006; 173 10.1016/j.ejor.2012.06.014_b0010 10.1016/j.ejor.2012.06.014_b0015 Sarimveis (10.1016/j.ejor.2012.06.014_b0125) 2008; 35 Disney (10.1016/j.ejor.2012.06.014_b0030) 2005 Hosoda (10.1016/j.ejor.2012.06.014_b0050) 2009; 121 Riddalls (10.1016/j.ejor.2012.06.014_b0105) 2000; 31 Disney (10.1016/j.ejor.2012.06.014_b0035) 2008; 19 Rodrigues (10.1016/j.ejor.2012.06.014_b0115) 2006; 42 Thomsen (10.1016/j.ejor.2012.06.014_b0140) 1992; 9 Towill (10.1016/j.ejor.2012.06.014_b0145) 1982; 20 Laugessen (10.1016/j.ejor.2012.06.014_b0080) 2006; 33 Riddalls (10.1016/j.ejor.2012.06.014_b0110) 2002; 40 Rossi (10.1016/j.ejor.2012.06.014_b0120) 2010; 127 Sun (10.1016/j.ejor.2012.06.014_b0135) 2010; 34
References_xml	– volume: 31 start-page: 969 year: 2000 end-page: 976 ident: b0105 article-title: Modelling the dynamics of supply chains publication-title: International Journal of Systems Science – volume: 121 start-page: 739 year: 2009 end-page: 751 ident: b0050 article-title: Impact of market demand mis-specification on a two-level supply chain publication-title: International Journal of Production Economics – volume: 335 start-page: 644 year: 2004 end-page: 660 ident: b0100 article-title: Stability analysis and stabilization strategies for linear supply chains publication-title: Physica A – volume: 173 start-page: 17 year: 2006 end-page: 636 ident: b0070 article-title: Quantifying the bullwhip effect in a supply chain with stochastic lead time publication-title: European Journal of Operational Research – volume: 4 start-page: 131 year: 1988 end-page: 147 ident: b0090 article-title: Deterministic chaos in the beer production distribution model publication-title: System Dynamics Review – volume: 20 start-page: 247 year: 1952 end-page: 268 ident: b0130 article-title: On the application of servomechanism theory in the study of production control publication-title: Econometrica – volume: 35 start-page: 3530 year: 2008 end-page: 3561 ident: b0125 article-title: Dynamic modelling and control of supply chain systems: a review publication-title: Computers & Operations Research – year: 1961 ident: b0045 article-title: Industrial Dynamics – volume: 20 start-page: 671 year: 1982 end-page: 687 ident: b0145 article-title: Dynamic analysis of an inventory and order based production control system publication-title: International Journal of Production Research – start-page: 331 year: 2005 end-page: 344 ident: b0030 article-title: Eliminating drift in inventory and order based production control systems publication-title: International Journal of Production Economics – volume: 119 start-page: 61 year: 1999 end-page: 74 ident: b0075 article-title: Complex behaviour in a production-distribution model publication-title: European Journal of Operational Research – volume: 34 start-page: 221 year: 2010 end-page: 231 ident: b0135 article-title: Stability of piecewise linear systems revisited publication-title: Annual Reviews in Control – volume: 19 start-page: 101 year: 2008 end-page: 116 ident: b0035 article-title: Supply chain aperiodicity, bullwhip and stability analysis with Jury’s Inners publication-title: IMA Journal of Management Mathematics – volume: 33 start-page: 97 year: 2005 end-page: 106 ident: b0150 article-title: Production and inventory control with chaotic demands publication-title: Omega – volume: 107 start-page: 250 year: 2007 end-page: 259 ident: b0160 article-title: Demand fluctuation and chaotic behaviour by interaction between customers and suppliers publication-title: International Journal of Production Economics – volume: 11 start-page: 208 year: 1989 end-page: 216 ident: b0040 article-title: The use of systems dynamics in manufacturing systems publication-title: Transaction of the Institute of Measurement and Control – volume: 31 start-page: 157 year: 2003 end-page: 167 ident: b0025 article-title: On the bullwhip and inventory variance produced by an ordering policy publication-title: Omega – volume: 40 start-page: 459 year: 2002 end-page: 475 ident: b0110 article-title: The stability of supply chains publication-title: International Journal of Production Research – volume: 42 start-page: 1245 year: 2006 end-page: 1254 ident: b0115 article-title: Piecewise-linear H∞ controller synthesis with applications to inventory control of switched production systems publication-title: Automatica – volume: 9 start-page: 137 year: 1992 end-page: 156 ident: b0140 article-title: Hyperchaotic phenomena in dynamic decision making publication-title: System Analysis and Modelling Simulation – reference: Coleman, J.C., 1988. Lead time reduction for system simplification, M.Sc dissertation. Cardiff University, UK. – volume: 42 start-page: 639 year: 2004 end-page: 648 ident: b0155 article-title: Further insights into “The stability of supply chains” publication-title: International Journal of Production Research – volume: 23 start-page: 229 year: 2007 end-page: 252 ident: b0095 article-title: Non-linear dynamic phenomena in the beer model publication-title: System Dynamics Review – volume: 127 start-page: 180 year: 2010 end-page: 189 ident: b0120 article-title: Computing the non-stationary replenishment cycle inventory policy under stochastic supplier lead-times publication-title: International Journal of Production Economics – reference: Cheema, P.S., 1994. Dynamic analysis of and inventory and production control system with an adaptive lead-time estimator, Ph.D dissertation. Cardiff University, UK. – reference: Liu, H., 2005. Research on dynamics of supply chain, Ph.D dissertation. Huazhong University of Science and Technology, PR China. – year: 1974 ident: b0065 article-title: Inners and the Stability of Dynamic Systems – volume: 124 start-page: 475 year: 2010 end-page: 481 ident: b0005 article-title: Lead time variance or lead time mean reduction in supply chain management: which one has a higher impact on supply chain performance? publication-title: International Journal of Production Economics – volume: 1 start-page: 283 year: 1994 end-page: 297 ident: b0060 article-title: Dynamic analysis of a WIP compensated decision support system publication-title: International Journal of Manufacturing System Design – volume: 33 start-page: 464 year: 2006 end-page: 478 ident: b0080 article-title: Border-collision bifurcations in a dynamic management game publication-title: Computers & Operations Research – start-page: 567 year: 2003 end-page: 590 ident: b0020 article-title: Measuring and avoiding the bullwhip effect: a control theoretic approach publication-title: European Journal of Operational Research – volume: 184 start-page: 1163 year: 2008 end-page: 1178 ident: b0055 article-title: Understanding supply chain dynamics: a chaos perspective publication-title: European Journal of Operational Research – volume: 40 start-page: 459 year: 2002 ident: 10.1016/j.ejor.2012.06.014_b0110 article-title: The stability of supply chains publication-title: International Journal of Production Research doi: 10.1080/00207540110085629 – start-page: 567 issue: 3 year: 2003 ident: 10.1016/j.ejor.2012.06.014_b0020 article-title: Measuring and avoiding the bullwhip effect: a control theoretic approach publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(02)00369-7 – volume: 121 start-page: 739 year: 2009 ident: 10.1016/j.ejor.2012.06.014_b0050 article-title: Impact of market demand mis-specification on a two-level supply chain publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2009.04.024 – volume: 127 start-page: 180 year: 2010 ident: 10.1016/j.ejor.2012.06.014_b0120 article-title: Computing the non-stationary replenishment cycle inventory policy under stochastic supplier lead-times publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2010.05.011 – volume: 20 start-page: 247 year: 1952 ident: 10.1016/j.ejor.2012.06.014_b0130 article-title: On the application of servomechanism theory in the study of production control publication-title: Econometrica doi: 10.2307/1907849 – volume: 31 start-page: 969 year: 2000 ident: 10.1016/j.ejor.2012.06.014_b0105 article-title: Modelling the dynamics of supply chains publication-title: International Journal of Systems Science doi: 10.1080/002077200412122 – volume: 184 start-page: 1163 year: 2008 ident: 10.1016/j.ejor.2012.06.014_b0055 article-title: Understanding supply chain dynamics: a chaos perspective publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2006.12.014 – year: 1961 ident: 10.1016/j.ejor.2012.06.014_b0045 – year: 1974 ident: 10.1016/j.ejor.2012.06.014_b0065 – volume: 119 start-page: 61 year: 1999 ident: 10.1016/j.ejor.2012.06.014_b0075 article-title: Complex behaviour in a production-distribution model publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(98)90349-6 – volume: 34 start-page: 221 year: 2010 ident: 10.1016/j.ejor.2012.06.014_b0135 article-title: Stability of piecewise linear systems revisited publication-title: Annual Reviews in Control doi: 10.1016/j.arcontrol.2010.08.003 – volume: 11 start-page: 208 year: 1989 ident: 10.1016/j.ejor.2012.06.014_b0040 article-title: The use of systems dynamics in manufacturing systems publication-title: Transaction of the Institute of Measurement and Control doi: 10.1177/014233128901100406 – ident: 10.1016/j.ejor.2012.06.014_b0085 – ident: 10.1016/j.ejor.2012.06.014_b0010 – volume: 107 start-page: 250 year: 2007 ident: 10.1016/j.ejor.2012.06.014_b0160 article-title: Demand fluctuation and chaotic behaviour by interaction between customers and suppliers publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2006.09.004 – volume: 31 start-page: 157 year: 2003 ident: 10.1016/j.ejor.2012.06.014_b0025 article-title: On the bullwhip and inventory variance produced by an ordering policy publication-title: Omega doi: 10.1016/S0305-0483(03)00028-8 – volume: 33 start-page: 464 year: 2006 ident: 10.1016/j.ejor.2012.06.014_b0080 article-title: Border-collision bifurcations in a dynamic management game publication-title: Computers & Operations Research doi: 10.1016/j.cor.2004.06.016 – volume: 19 start-page: 101 year: 2008 ident: 10.1016/j.ejor.2012.06.014_b0035 article-title: Supply chain aperiodicity, bullwhip and stability analysis with Jury’s Inners publication-title: IMA Journal of Management Mathematics doi: 10.1093/imaman/dpm033 – volume: 20 start-page: 671 year: 1982 ident: 10.1016/j.ejor.2012.06.014_b0145 article-title: Dynamic analysis of an inventory and order based production control system publication-title: International Journal of Production Research doi: 10.1080/00207548208947797 – volume: 4 start-page: 131 year: 1988 ident: 10.1016/j.ejor.2012.06.014_b0090 article-title: Deterministic chaos in the beer production distribution model publication-title: System Dynamics Review doi: 10.1002/sdr.4260040108 – volume: 9 start-page: 137 year: 1992 ident: 10.1016/j.ejor.2012.06.014_b0140 article-title: Hyperchaotic phenomena in dynamic decision making publication-title: System Analysis and Modelling Simulation – volume: 42 start-page: 639 year: 2004 ident: 10.1016/j.ejor.2012.06.014_b0155 article-title: Further insights into “The stability of supply chains” publication-title: International Journal of Production Research doi: 10.1080/00207540310001621846 – volume: 335 start-page: 644 year: 2004 ident: 10.1016/j.ejor.2012.06.014_b0100 article-title: Stability analysis and stabilization strategies for linear supply chains publication-title: Physica A doi: 10.1016/j.physa.2003.12.020 – start-page: 331 year: 2005 ident: 10.1016/j.ejor.2012.06.014_b0030 article-title: Eliminating drift in inventory and order based production control systems publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2004.06.031 – volume: 23 start-page: 229 year: 2007 ident: 10.1016/j.ejor.2012.06.014_b0095 article-title: Non-linear dynamic phenomena in the beer model publication-title: System Dynamics Review doi: 10.1002/sdr.378 – volume: 33 start-page: 97 year: 2005 ident: 10.1016/j.ejor.2012.06.014_b0150 article-title: Production and inventory control with chaotic demands publication-title: Omega doi: 10.1016/j.omega.2004.04.001 – volume: 124 start-page: 475 year: 2010 ident: 10.1016/j.ejor.2012.06.014_b0005 article-title: Lead time variance or lead time mean reduction in supply chain management: which one has a higher impact on supply chain performance? publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2009.12.010 – volume: 1 start-page: 283 year: 1994 ident: 10.1016/j.ejor.2012.06.014_b0060 article-title: Dynamic analysis of a WIP compensated decision support system publication-title: International Journal of Manufacturing System Design – volume: 173 start-page: 17 year: 2006 ident: 10.1016/j.ejor.2012.06.014_b0070 article-title: Quantifying the bullwhip effect in a supply chain with stochastic lead time publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2005.01.043 – volume: 42 start-page: 1245 year: 2006 ident: 10.1016/j.ejor.2012.06.014_b0115 article-title: Piecewise-linear H∞ controller synthesis with applications to inventory control of switched production systems publication-title: Automatica doi: 10.1016/j.automatica.2006.04.004 – ident: 10.1016/j.ejor.2012.06.014_b0015 – volume: 35 start-page: 3530 year: 2008 ident: 10.1016/j.ejor.2012.06.014_b0125 article-title: Dynamic modelling and control of supply chain systems: a review publication-title: Computers & Operations Research doi: 10.1016/j.cor.2007.01.017
SSID	ssj0001515
Score	2.341738
Snippet	► The stability and periodicity of an inventory system with Forbidden Returns is studied. ► Complex and diversified set of behaviours and patterns exist in the... Stability is a fundamental design property of inventory systems. However, the often exploited linearity assumptions in the current literature create a major...
SourceID	proquest pascalfrancis econis crossref elsevier
SourceType	Aggregation Database Index Database Enrichment Source Publisher
StartPage	86
SubjectTerms	Applied sciences Asymptotic properties Boundaries Complexity theory Dynamical systems Exact sciences and technology Inventories Inventory Inventory control, production control. Distribution Inventory management Logistics Nonlinear dynamics Operational research and scientific management Operational research. Management science Operations research Policies Production controls Stability Stockpiling Studies System dynamics Systems stability Transportation
Title	Stability analysis of constrained inventory systems with transportation delay
URI	https://dx.doi.org/10.1016/j.ejor.2012.06.014 http://www.econis.eu/PPNSET?PPN=72531804X https://www.proquest.com/docview/1030269838 https://www.proquest.com/docview/1221883613
Volume	223
WOSCitedRecordID	wos000307796100008&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-6860 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001515 issn: 0377-2217 databaseCode: AIEXJ dateStart: 19950105 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwELegmxAT4qMDrTCmIPE2ZUqcxLEfKyjQCSIkNihPkZM40iqUVk037c_nLv5os0kDHniJ2sRx2tzPvvP57neEvBVFIgVoIp9XXPixDGq_qJiEpUqUBKwIRNll8X__nGYZn83EVxNW1HblBNKm4dfXYvlfRQ3nQNiYOvsP4nadwgn4DEKHI4gdjn8leDAfu4BXJFbaEI6UaAdiOQiFZEsY5Iib65rH2WS4rS3PucYE0kf29nx7jntjxMKJlXUnGt4g51-enWfHP8aZK971fvotm_zcCi3beGJPp9lH19T4IEKKyXg6RVI7xowW35q7ojT1KdVpmXaipTqzuIcoPW1aNuzuiy66eWtq116G-YmaL5DHFX247CTQGah9Hu0b-s1FHVIG9kqSJPfJDk0TwQdkZzydzE6d5kbjrtt1Mj_eJFnpeMCbz-0ZMrvovbhoexbNo6VsYZzVukDKLV3fGTBnT8ljs_Lwxhoxz8g91QzJE7MK8cwc3w7JA5sLAVdtzQ97eUj2tggs98kXBzbPgs1b1N4W2DwHNs-AzUOweX2weR3YnpPzD5Ozd598U6DDL2Mm1j4D3ZhSmIvCKi0jWMlKxip8e3UqRRzRqqgVaA0ZlYzFgqkgKWuaqJBXhcKCJNELMmgWjTognqjiUIIpnsKCJa5pxVOJLLdKJmGtwiIekdC-7bw07PX4R37lNkxxnqOEcpRQjrGaIdxz7O5Zau6WO1sfaCG6tikFBcWDeDYiiRVrbgxTbXDmAM47uzzqYcD1bJE4IocWFLkZu22Ohf8oEzziI_LGXYZZH7fyZKMWl9AG4Ml5BLb4yz894xV5uBmyh2SwXl2q12S3vFpftKsjMwR-A8E6zuk
linkProvider	Elsevier
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=Stability+analysis+of+constrained+inventory+systems+with+transportation+delay&rft.jtitle=European+journal+of+operational+research&rft.au=XUN+WANG&rft.au=DISNEY%2C+Stephen+M&rft.au=JINGWANG&rft.date=2012-11-16&rft.pub=Elsevier&rft.issn=0377-2217&rft.volume=223&rft.issue=1&rft.spage=86&rft.epage=95&rft_id=info:doi/10.1016%2Fj.ejor.2012.06.014&rft.externalDBID=n%2Fa&rft.externalDocID=26224555
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0377-2217&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0377-2217&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0377-2217&client=summon