Skip to main content
Erschienen in: Journal of Combinatorial Optimization 4/2022

11.06.2020

Online economic ordering problem for deteriorating items with limited price information

verfasst von: Wenqiang Dai, Meng Zheng, Xu Chen, Zhuolin Yang

Erschienen in: Journal of Combinatorial Optimization | Ausgabe 4/2022

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Traditional economic ordering model for deteriorating items assume the procurer have full information about the procurement price. In this paper, we study an online economic ordering problem for constant deteriorating rate items with limited price information under relative performance criterion of the competitive ratio (CR). We provide a simply procurement strategy as well as the optimal ordering quantity for each case. This procurement strategy is real-time and doesn’t require any forecast, i.e., upon the arrival of price, the strategy concerning procurement time and quantity only be made based on arriving price and current inventory level, with entirely arbitrary non-stationary and even adversarial price sequence arrivals. A theoretical closed-form CR is also proven to give the performance guarantee. Our numerical experiments demonstrate even better empirical performance than the corresponding proven worst-case bounds.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Axsäter S (1982) Worst case performance for lot sizing heuristics. Eur J Oper Res 9(4):339–343CrossRef Axsäter S (1982) Worst case performance for lot sizing heuristics. Eur J Oper Res 9(4):339–343CrossRef
Zurück zum Zitat Bakker M, Riezebos J, Teunter RH (2012) Review of inventory systems with deterioration since 2001. Eur J Oper Res 221(2):275–284MathSciNetCrossRef Bakker M, Riezebos J, Teunter RH (2012) Review of inventory systems with deterioration since 2001. Eur J Oper Res 221(2):275–284MathSciNetCrossRef
Zurück zum Zitat Ben-Tal A, Ghaoui LE, Nemirovski A (2009) Robust optimization, princeton series in applied mathematics. Princeton University Press, PrincetonMATH Ben-Tal A, Ghaoui LE, Nemirovski A (2009) Robust optimization, princeton series in applied mathematics. Princeton University Press, PrincetonMATH
Zurück zum Zitat Ball MO, Queyranne M (2009) Toward robust revenue management: competitive analysis of online booking. Oper Res 57(4):950–963CrossRef Ball MO, Queyranne M (2009) Toward robust revenue management: competitive analysis of online booking. Oper Res 57(4):950–963CrossRef
Zurück zum Zitat Borodin A, El-Yaniv R (1998) Online algorithms and competitive analysis. Cambridge University Press, CambridgeMATH Borodin A, El-Yaniv R (1998) Online algorithms and competitive analysis. Cambridge University Press, CambridgeMATH
Zurück zum Zitat Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, CambridgeCrossRef Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, CambridgeCrossRef
Zurück zum Zitat Buchbinder N, Kimbrelt T, Levi R, Makarychev K, Sviridenko M (2014) Online make-to-order joint replenishment model: primal dual competitive algorithms. Oper Res 61(4):1014–1029MathSciNetCrossRef Buchbinder N, Kimbrelt T, Levi R, Makarychev K, Sviridenko M (2014) Online make-to-order joint replenishment model: primal dual competitive algorithms. Oper Res 61(4):1014–1029MathSciNetCrossRef
Zurück zum Zitat Cai XQ, Feng Y, Li Y et al (2013) Optimal pricing policy for a deteriorating product by dynamic tracking control. Int J Prod Res 51(8):2491–2504CrossRef Cai XQ, Feng Y, Li Y et al (2013) Optimal pricing policy for a deteriorating product by dynamic tracking control. Int J Prod Res 51(8):2491–2504CrossRef
Zurück zum Zitat Coniglio S, Koster AMCA, Spiekermann N (2018) Lot sizing with storage losses under demand uncertainty. J Combin Optim 36:763–788MathSciNetCrossRef Coniglio S, Koster AMCA, Spiekermann N (2018) Lot sizing with storage losses under demand uncertainty. J Combin Optim 36:763–788MathSciNetCrossRef
Zurück zum Zitat Dai WQ, Dong YC, Zhang XT (2016a) Competitive analysis of the online financial lease problem. Eur J Oper Res 250(3):865–873MathSciNetCrossRef Dai WQ, Dong YC, Zhang XT (2016a) Competitive analysis of the online financial lease problem. Eur J Oper Res 250(3):865–873MathSciNetCrossRef
Zurück zum Zitat Dai WQ, Jiang QZ, Feng Y (2016b) A note: an improved upper bound for the online inventory problem with bounded storage and order costs. Eur J Oper Res 249:628–630MathSciNetCrossRef Dai WQ, Jiang QZ, Feng Y (2016b) A note: an improved upper bound for the online inventory problem with bounded storage and order costs. Eur J Oper Res 249:628–630MathSciNetCrossRef
Zurück zum Zitat Dai WQ, Zheng M, Chen X, Yang ZL (2019) Economic ordering model for deteriorating items with limited price information. In: Proceedings of the 8th international conference on industrial engineering and systems management (IESM’2019), pp 576–581 Dai WQ, Zheng M, Chen X, Yang ZL (2019) Economic ordering model for deteriorating items with limited price information. In: Proceedings of the 8th international conference on industrial engineering and systems management (IESM’2019), pp 576–581
Zurück zum Zitat Dai WQ, Yang ZL, Feng Y, Zheng M (2020) Real-time procurement policy with yield and price uncertainty. Int J Prod Res 58(3):758–782CrossRef Dai WQ, Yang ZL, Feng Y, Zheng M (2020) Real-time procurement policy with yield and price uncertainty. Int J Prod Res 58(3):758–782CrossRef
Zurück zum Zitat Dai WQ, Zeng XJ (2010) Incremental facility location problem and its competitive algorithms. J Combin Optim 20(3):307–320MathSciNetCrossRef Dai WQ, Zeng XJ (2010) Incremental facility location problem and its competitive algorithms. J Combin Optim 20(3):307–320MathSciNetCrossRef
Zurück zum Zitat Ghare PM, Schrader GF (1963) A model for exponentially decaying inventories. J Ind Eng 14:238–243 Ghare PM, Schrader GF (1963) A model for exponentially decaying inventories. J Ind Eng 14:238–243
Zurück zum Zitat Ghoreishi M, Mirzazadeh A, Weber GW (2014) Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns. Optimization 63(12):1785–1804MathSciNetCrossRef Ghoreishi M, Mirzazadeh A, Weber GW (2014) Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns. Optimization 63(12):1785–1804MathSciNetCrossRef
Zurück zum Zitat Goyal SK, Giri BC (2001) Recent trends in modeling of deteriorating iventory. Eur J Oper Res 134:1–16CrossRef Goyal SK, Giri BC (2001) Recent trends in modeling of deteriorating iventory. Eur J Oper Res 134:1–16CrossRef
Zurück zum Zitat Gustavsson JC, Cederberg U et al (2011) Global food losses and food waste. Food and Agriculture Organisation of the United Nations (FAO), Rome Gustavsson JC, Cederberg U et al (2011) Global food losses and food waste. Food and Agriculture Organisation of the United Nations (FAO), Rome
Zurück zum Zitat Han S, Hu J, Zhou D (2017) Competitive analysis of interrelated price online inventory problems with demands. Anziam J 58(3–4):1–11MathSciNetMATH Han S, Hu J, Zhou D (2017) Competitive analysis of interrelated price online inventory problems with demands. Anziam J 58(3–4):1–11MathSciNetMATH
Zurück zum Zitat Huang MG (2013) Economic ordering model for deteriorating items with random demand and deterioration. Int J Prod Res 51(18):5612–5624CrossRef Huang MG (2013) Economic ordering model for deteriorating items with random demand and deterioration. Int J Prod Res 51(18):5612–5624CrossRef
Zurück zum Zitat Janssen L, Claus T, Sauer J (2016) Literature review of deteriorating inventory models by key topics from 2012 to 2015. Int J Prod Econ 182:86–112CrossRef Janssen L, Claus T, Sauer J (2016) Literature review of deteriorating inventory models by key topics from 2012 to 2015. Int J Prod Econ 182:86–112CrossRef
Zurück zum Zitat Larsen KS, Wøhlk S (2010) Competitive analysis of the online inventory problem. Eur J Oper Res 207:685–696MathSciNetCrossRef Larsen KS, Wøhlk S (2010) Competitive analysis of the online inventory problem. Eur J Oper Res 207:685–696MathSciNetCrossRef
Zurück zum Zitat Liu M, Chu CB, Xu YF, Zheng FF (2010) An optimal online algorithm for single machine scheduling with bounded delivery times. Eur J Oper Res 201:693–700MathSciNetCrossRef Liu M, Chu CB, Xu YF, Zheng FF (2010) An optimal online algorithm for single machine scheduling with bounded delivery times. Eur J Oper Res 201:693–700MathSciNetCrossRef
Zurück zum Zitat Luenberger DG, Ye Y (2016) Linear and nonlinear programming, 4th edn. Springer, New YorkCrossRef Luenberger DG, Ye Y (2016) Linear and nonlinear programming, 4th edn. Springer, New YorkCrossRef
Zurück zum Zitat Ni GQ (2020) Replenishment policy for a purchase-to-order seller: a tradeoff between ordering cost and delay cost. Int J Prod Res 58(4):1239–1254CrossRef Ni GQ (2020) Replenishment policy for a purchase-to-order seller: a tradeoff between ordering cost and delay cost. Int J Prod Res 58(4):1239–1254CrossRef
Zurück zum Zitat Raafat F (1991) Survey of literature on continuously deteriorating inventory models. J Oper Res Soc 42(1):27–37CrossRef Raafat F (1991) Survey of literature on continuously deteriorating inventory models. J Oper Res Soc 42(1):27–37CrossRef
Zurück zum Zitat Van den Heuvel W, Wagelmans APM (2010) Worst-case analysis for a general class of online lot-sizing heuristics. Oper Res 58(1):59–67MathSciNetCrossRef Van den Heuvel W, Wagelmans APM (2010) Worst-case analysis for a general class of online lot-sizing heuristics. Oper Res 58(1):59–67MathSciNetCrossRef
Zurück zum Zitat Wagner MR (2010) Fully distribution-free profit maximization: the inventory management case. Math Oper Res 35(4):728–741MathSciNetCrossRef Wagner MR (2010) Fully distribution-free profit maximization: the inventory management case. Math Oper Res 35(4):728–741MathSciNetCrossRef
Zurück zum Zitat Zheng FF, Cheng YX, Xu YF, Liu M (2013) Competitive strategies for an online generalized assignment problem with a service consecution constraint. Eur J Oper Res 229(1):59–66MathSciNetCrossRef Zheng FF, Cheng YX, Xu YF, Liu M (2013) Competitive strategies for an online generalized assignment problem with a service consecution constraint. Eur J Oper Res 229(1):59–66MathSciNetCrossRef
Zurück zum Zitat Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, BostonMATH Zipkin PH (2000) Foundations of inventory management. McGraw-Hill, BostonMATH
Metadaten
Titel
Online economic ordering problem for deteriorating items with limited price information
verfasst von
Wenqiang Dai
Meng Zheng
Xu Chen
Zhuolin Yang
Publikationsdatum
11.06.2020
Verlag
Springer US
Erschienen in
Journal of Combinatorial Optimization / Ausgabe 4/2022
Print ISSN: 1382-6905
Elektronische ISSN: 1573-2886
DOI
https://doi.org/10.1007/s10878-020-00603-2

Weitere Artikel der Ausgabe 4/2022

Journal of Combinatorial Optimization 4/2022 Zur Ausgabe

Premium Partner