{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:20:24Z","timestamp":1762521624020,"version":"3.41.2"},"reference-count":30,"publisher":"Emerald","issue":"6","license":[{"start":{"date-parts":[[2013,11,4]],"date-time":"2013-11-04T00:00:00Z","timestamp":1383523200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013,11,4]]},"abstract":"<jats:sec>\n               <jats:title content-type=\"abstract-heading\">Purpose<\/jats:title>\n               <jats:p> \u2013 The objective of this work is to develop a model that can be used for simulation of different parameters including price, subjected to different control strategies. <\/jats:p>\n            <\/jats:sec>\n            <jats:sec>\n               <jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title>\n               <jats:p> \u2013 The entire supply chain can be modelled by combining the transfer function into a closed loop system. The transfer function of each entity in the supply chain can be obtained by using the control theory tools. The model can be approximated as a linear discrete system with various operating constants, like lead time, price, order policy and supply. <\/jats:p>\n            <\/jats:sec>\n            <jats:sec>\n               <jats:title content-type=\"abstract-heading\">Findings<\/jats:title>\n               <jats:p> \u2013 The continuous replenishment ordering policy for a distribution node in a supply chain was analyzed using the z-transform. Characteristic equations of the closed loop transfer function are obtained. The bullwhip (BW) effect is analyzed. Study proves that the BW effect is in evitable if the standard heuristic ordering policy is employed with demand forecasting; also the paper analysed price supply trade-off for dynamic demand and supply. Simulation results show that BW is less in PI and simple p-only with cascade control. Robust control and PD, PID control results are not shown in this literature, and it is subject to further research. <\/jats:p>\n            <\/jats:sec>\n            <jats:sec>\n               <jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title>\n               <jats:p> \u2013 Research is original, it can be applicable in today's dynamic world, due to globalization, it is necessary to have a automated machine that can handle most of supply chain decision.<\/jats:p>\n            <\/jats:sec>","DOI":"10.1108\/bpmj-05-2012-0044","type":"journal-article","created":{"date-parts":[[2013,10,8]],"date-time":"2013-10-08T08:56:24Z","timestamp":1381222584000},"page":"933-946","source":"Crossref","is-referenced-by-count":8,"title":["Modelling, simulation and analysis of control mechanism of a dynamic supply chain system considering supply-price trade-off, using control theory"],"prefix":"10.1108","volume":"19","author":[{"given":"Anup","family":"Kumar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kampan","family":"Mukherjee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Narendra","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022031619430072500_b1","doi-asserted-by":"crossref","unstructured":"Beamon, B.M.\n                (1998), \u201cSupply chain design and analysis: models and methods\u201d, International Journal of Production Economics, Vol. 55, pp. 281-294.","DOI":"10.1016\/S0925-5273(98)00079-6"},{"key":"key2022031619430072500_b2","doi-asserted-by":"crossref","unstructured":"Boute, R.N.\n               , \n                  Disney, S.M.\n               , \n                  Lambrecht, M.R.\n                and \n                  Van Houdt, B.\n                (2007), \u201cAn integrated production and inventory model to dampen upstream demand variability in the supply chain\u201d, European Journal of Operational Research, Vol. 178 No. 1, pp. 121-142.","DOI":"10.1016\/j.ejor.2006.01.023"},{"key":"key2022031619430072500_b9","doi-asserted-by":"crossref","unstructured":"Chen, F.\n               , \n                  Ryan, J.K.\n                and \n                  Simchi-Levi, D.\n                (2000a), \u201cThe impact of exponential smoothing forecasts on the bullwhip effect\u201d, Naval Research Logistic, Vol. 47, pp. 269-286.","DOI":"10.1002\/(SICI)1520-6750(200006)47:4<269::AID-NAV1>3.0.CO;2-Q"},{"key":"key2022031619430072500_b10","doi-asserted-by":"crossref","unstructured":"Chen, F.\n               , \n                  Drezner, Z.\n               , \n                  Ryan, J.K.\n                and \n                  Simichi-levi, D.\n                (2000b), \u201cQuantifying the bullwhip effect in a simple supply chain: the impact of forecasting\u201d, Lead Times and Information Management Science, Vol. 46, pp. 436-443.","DOI":"10.1287\/mnsc.46.3.436.12069"},{"key":"key2022031619430072500_b20","doi-asserted-by":"crossref","unstructured":"Dejonckheere, J.\n               , \n                  Disney, S.M.\n               , \n                  Lambrecht, M.R.\n                and \n                  Towill, D.R.\n                (2002), \u201cTransfer function analysis of forecasting induced bullwhip in supply chain\u201d, International Journal of Production Economics, Vol. 24, pp. 133-144.","DOI":"10.1016\/S0925-5273(01)00084-6"},{"key":"key2022031619430072500_b21","doi-asserted-by":"crossref","unstructured":"Dejonckheere, J.\n               , \n                  Disney, S.M.\n               , \n                  Lambrecht, M.R.\n                and \n                  Towill, D.R.\n                (2003), \u201cMeasuring and avoiding the bullwhip effect: a control theoretic approach\u201d, European Journal of Operational Research, Vol. 147, pp. 567-590.","DOI":"10.1016\/S0377-2217(02)00369-7"},{"key":"key2022031619430072500_b4","doi-asserted-by":"crossref","unstructured":"Dejonckheere, J.\n               , \n                  Disney, S.M.\n               , \n                  Lambrecht, M.R.\n                and \n                  Towill, D.R.\n                (2004), \u201cThe impact of information enrichment on the bullwhip effect in supply chains: a control engineering perspective\u201d, European Journal of Operational Research, Vol. 153 No. 3, pp. 727-750.","DOI":"10.1016\/S0377-2217(02)00808-1"},{"key":"key2022031619430072500_b5","doi-asserted-by":"crossref","unstructured":"Disney, S.M.\n                and \n                  Towill, D.R.\n                (2003), \u201cThe effect of vendor managed inventory (VMI) dynamics on the bullwhip effect in supply chains\u201d, International Journal of Production Economics, Vol. 85 No. 2, pp. 199-215.","DOI":"10.1016\/S0925-5273(03)00110-5"},{"key":"key2022031619430072500_b6","doi-asserted-by":"crossref","unstructured":"Disney, S.M.\n               , \n                  Towill, D.R.\n                and \n                  Warburton, R.D.H.\n                (2006), \u201cOn the equivalence of control theoretic, differential, and difference equation approaches to modeling supply chains\u201d, International Journal of Production Economics, Vol. 101 No. 1, pp. 194-208.","DOI":"10.1016\/j.ijpe.2005.05.002"},{"key":"key2022031619430072500_b11","unstructured":"Forrester, J.W.\n                (1961), Industrial Dynamics, The MIT Press, Cambridge, MA."},{"key":"key2022031619430072500_b12","doi-asserted-by":"crossref","unstructured":"Garcia, C.A.\n               , \n                  Ibeas, A.\n               , \n                  Herrera, J.\n                and \n                  Vilanova, R.\n                (2012), \u201cInventory control for the supply chain: an adaptive control approach based on the identification of the lead-time\u201d, Omega, Vol. 40 No. 3, pp. 314-327.","DOI":"10.1016\/j.omega.2011.07.003"},{"key":"key2022031619430072500_b13","doi-asserted-by":"crossref","unstructured":"Garcia Salcedo, C.A.\n               , \n                  Ibeas Hernandez, A.\n               , \n                  Vilanova, R.\n                and \n                  Herrera Cuartas, J.\n                (2013), \u201cInventory control of supply chains: mitigating the bullwhip effect by centralized and decentralized internal model control approaches\u201d, European Journal of Operational Research, Vol. 224 No. 2, pp. 261-272.","DOI":"10.1016\/j.ejor.2012.07.029"},{"key":"key2022031619430072500_b14","doi-asserted-by":"crossref","unstructured":"Grubbstr\u00f6m, R.W.\n                and \n                  Wikner, J.\n                (1996), \u201cInventory trigger control policies developed in terms of control theory\u201d, International Journal of Production Economics, Vol. 45 Nos 1-3, pp. 397-406.","DOI":"10.1016\/0925-5273(96)00018-7"},{"key":"key2022031619430072500_b16","doi-asserted-by":"crossref","unstructured":"Hai, D.\n               , \n                  Hao, Z.\n                and \n                  Ping, L.I.Y.\n                (2011), \u201cModel predictive control for inventory management in supply chain planning\u201d, Procedia Engineering, Vol. 15, pp. 1154-1159.","DOI":"10.1016\/j.proeng.2011.08.213"},{"key":"key2022031619430072500_b17","doi-asserted-by":"crossref","unstructured":"Hoberg, K.\n               , \n                  Bradley, J.R.\n                and \n                  Thonemann, U.W.\n                (2007), \u201cAnalyzing the effect of the inventory policy on order and inventory variability with linear control theory\u201d, European Journal of Operational Research, Vol. 176 No. 3, pp. 1620-1642.","DOI":"10.1016\/j.ejor.2005.10.040"},{"key":"key2022031619430072500_b18","doi-asserted-by":"crossref","unstructured":"Ivanov, D.\n               , \n                  Dolgui, A.\n                and \n                  Sokolov, B.\n                (2012), \u201cApplicability of optimal control theory to adaptive supply chain planning and scheduling\u201d, Annual Reviews in Control, Vol. 36 No. 1, pp. 73-84.","DOI":"10.1016\/j.arcontrol.2012.03.006"},{"key":"key2022031619430072500_b19","doi-asserted-by":"crossref","unstructured":"Ivanov, D.\n               , \n                  Sokolov, B.\n                and \n                  Kaeschel, J.\n                (2010), \u201cA multi-structural framework for adaptive supply chain planning and operations control with structure dynamics considerations\u201d, European Journal of Operational Research, Vol. 200 No. 2, pp. 409-420.","DOI":"10.1016\/j.ejor.2009.01.002"},{"key":"key2022031619430072500_b23","doi-asserted-by":"crossref","unstructured":"Kevin Chiang, W.-Y.\n                and \n                  Monahan, G.E.\n                (2005), \u201cManaging inventories in a two-echelon dual-channel supply chain\u201d, European Journal of Operational Research, Vol. 162 No. 2, pp. 325-341.","DOI":"10.1016\/j.ejor.2003.08.062"},{"key":"key2022031619430072500_b3","doi-asserted-by":"crossref","unstructured":"Lalwani, C.S.\n               , \n                  Disney, S.M.\n                and \n                  Towill, D.R.\n                (2006), \u201cControllable, observable and stable state space representations of a generalized order-up-to policy\u201d, International Journal of Production Economics, Vol. 101, pp. 172-184.","DOI":"10.1016\/j.ijpe.2005.05.014"},{"key":"key2022031619430072500_b15","unstructured":"Lee, H.L.\n               , \n                  Padmanabhan, V.\n                and \n                  Whang, S.\n                (1997), \u201cThe bullwhip effect in supply chains\u201d, Sloan Management Review, Vol. 38, pp. 93-102."},{"key":"key2022031619430072500_b24","doi-asserted-by":"crossref","unstructured":"Lin, P.-H.\n               , \n                  Wong, D.S.-H.\n               , \n                  Jang, S.-S.\n               , \n                  Shieh, S.-S.\n                and \n                  Chu, J.-Z.\n                (2003), \u201cController design and reduction of bullwhip for a model supply chain system using z-transform analysis\u201d, Journal of Process Control, Vol. 14, pp. 487-499.","DOI":"10.1016\/j.jprocont.2003.09.005"},{"key":"key2022031619430072500_b22","doi-asserted-by":"crossref","unstructured":"Mark, K.L.\n               , \n                  Bradshaw, A.\n                and \n                  Porter, B.\n                (1976), \u201cStabilizality of production inventory system with retarded with control policies\u201d, International Journal of System Science, Vol. 7, pp. 277-288.","DOI":"10.1080\/00207727608941916"},{"key":"key2022031619430072500_b8","doi-asserted-by":"crossref","unstructured":"Perea-Lopez, E.\n               , \n                  Grossmann, I.E.\n               , \n                  Ydstie, E.\n                and \n                  Thamassebi, T.\n                (2000), \u201cDynamic modelling and classical control theory for supply chain management\u201d, Computers & Chemical Engineering, Vol. 24, pp. 1143-1149.","DOI":"10.1016\/S0098-1354(00)00495-6"},{"key":"key2022031619430072500_b7","doi-asserted-by":"crossref","unstructured":"Perea-Lopez, E.\n               , \n                  Grossmann, I.E.\n               , \n                  Ydstie, B.E.\n                and \n                  Thamassebi, T.\n                (2001), \u201cDynamic modelling and decentralized control of supply chains\u201d, Industrial & Engineering Chemistry Research, Vol. 40 No. 15, pp. 3369-3383.","DOI":"10.1021\/ie000573k"},{"key":"key2022031619430072500_b25","doi-asserted-by":"crossref","unstructured":"Porter, A.B.\n                (1974), \u201cModel control of production inventory system using piecewise control policies\u201d, International Journal of System Science, Vol. 5, pp. 733-742.","DOI":"10.1080\/00207727408920137"},{"key":"key2022031619430072500_b26","doi-asserted-by":"crossref","unstructured":"Sarimveis, H.\n               , \n                  Patrinos, P.\n               , \n                  Tarantilis, C.D.\n                and \n                  Kiranoudis, C.T.\n                (2008), \u201cDynamic modeling and control of supply chain systems: a review\u201d, Computers & Operations Research, Vol. 35 No. 11, pp. 3530-3561.","DOI":"10.1016\/j.cor.2007.01.017"},{"key":"key2022031619430072500_b27","doi-asserted-by":"crossref","unstructured":"Schwartz, J.D.\n                and \n                  Rivera, D.E.\n                (2010), \u201cA process control approach to tactical inventory management in production-inventory systems\u201d, International Journal of Production Economics, Vol. 125 No. 1, pp. 111-124.","DOI":"10.1016\/j.ijpe.2010.01.011"},{"key":"key2022031619430072500_b28","doi-asserted-by":"crossref","unstructured":"Sipahi, R.\n                and \n                  Delice, I.I.\n                (2010), \u201cStability of inventory dynamics in supply chains with three delays\u201d, International Journal of Production Economics, Vol. 123 No. 1, pp. 107-117.","DOI":"10.1016\/j.ijpe.2009.07.013"},{"key":"key2022031619430072500_b29","doi-asserted-by":"crossref","unstructured":"Subramanian, K.\n               , \n                  Rawlings, J.B.\n               , \n                  Maravelias, C.T.\n               , \n                  Flores-Cerrillo, J.\n                and \n                  Megan, L.\n                (2013), \u201cIntegration of control theory and scheduling methods for supply chain management\u201d, Computers & Chemical Engineering, Vol. 51 \n               5 April, pp. 4-20.","DOI":"10.1016\/j.compchemeng.2012.06.012"},{"key":"key2022031619430072500_b30","doi-asserted-by":"crossref","unstructured":"Towill, D.R.\n                (1982), \u201cDynamics analysis of an inventory and order based production control system, international\u201d, Journal of Production Research, Vol. 20, pp. 671-687.","DOI":"10.1080\/00207548208947797"}],"container-title":["Business Process Management Journal"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/BPMJ-05-2012-0044","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/BPMJ-05-2012-0044\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/BPMJ-05-2012-0044\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T23:15:01Z","timestamp":1753398901000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/bpmj\/article\/19\/6\/933-946\/430716"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,4]]},"references-count":30,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2013,11,4]]}},"alternative-id":["10.1108\/BPMJ-05-2012-0044"],"URL":"https:\/\/doi.org\/10.1108\/bpmj-05-2012-0044","relation":{},"ISSN":["1463-7154"],"issn-type":[{"type":"print","value":"1463-7154"}],"subject":[],"published":{"date-parts":[[2013,11,4]]}}}