Skip to main content
Springer Nature Link
Log in

Managing perishability in production-distribution planning: a discussion and review

  • Published:
Flexible Services and Manufacturing Journal Aims and scope Submit manuscript

Abstract

Managing perishability may represent a remarkable problem in supply chain management of a varied set of industries. In fact, perishability can influence, for example, productivity or customer service and it may happen to occur in one or more processes throughout the supply chain. In this paper a review on planning models that handle perishability issues in production and distribution is conducted. The contribution of this paper is three-fold. First, a new framework for classifying perishability models based on multiple process features is presented. Second, it draws the community attention to the importance of managing perishability in many different industries’ supply chains by showing its relevance and by reviewing the literature related to production and distribution planning. Finally, it points towards research opportunities so far not addressed by the research community in this challenging field.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Abad P (2000) Optimal lot size for a perishable good under conditions of finite production and partial backordering and lost sale. Comput Ind Eng 38:457–465

    Article  Google Scholar 

  • Abad P (2003) Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale. Eur J Oper Res 144:677–685

    Article  MathSciNet  MATH  Google Scholar 

  • Ahumada O, Villalobos J (2009) Application of planning models in the agri-food supply chain: a review. Eur J Oper Res 196(1):1–20

    Article  MATH  Google Scholar 

  • Akkerman R, Farahani P, Grunow M (2010) Quality, safety and sustainability in food distribution: a review of quantitative operations management approaches and challenges. OR Spectrum 32(4):863–904

    Article  Google Scholar 

  • Amorim P, Antunes CH, Almada-Lobo B (2011) Multi-objective lot-sizing and scheduling dealing with perishability issues. Ind Eng Chem Res 50(6):3371–3381

    Article  Google Scholar 

  • Arbib C, Pacciarelli D, Smriglio S (1999) A three-dimensional matching model for perishable production scheduling. Discrete Appl Math 92(1):1–15

    Article  MathSciNet  MATH  Google Scholar 

  • Armstrong R, Gao S, Lei L (2007) A zero-inventory production and distribution problem with a fixed customer sequence. Ann Oper Res 159(1):395–414

    Article  MathSciNet  Google Scholar 

  • Beamon BM (1998) Supply chain design and analysis: models and methods. Int J Prod Econ 55(3):281–294

    Article  Google Scholar 

  • Cai X, Chen J, Xiao Y, Xu X (2008) Product selection, machine time allocation, and scheduling decisions for manufacturing perishable products subject to a deadline. Comput Oper Res 35(5):1671–1683

    Article  MATH  Google Scholar 

  • Chen H-K, Hsueh C-F, Chang M-S (2009) Production scheduling and vehicle routing with time windows for perishable food products. Comput Oper Res 36(7):2311–2319

    Article  MathSciNet  MATH  Google Scholar 

  • Chen J-M, Chen T-H (2005) Effects of joint replenishment and channel coordination for managing multiple deteriorating products in a supply chain. J Oper Res Soc 56(10):1224–1234

    Article  MATH  Google Scholar 

  • Chen Z-L, Vairaktarakis G (2005) Integrated scheduling of production and distribution operations. Manage Sci 51(4):614–628

    Article  MATH  Google Scholar 

  • Chowdhury M, Sarker B (2001) Manufacturing batch size and ordering policy for products with shelf lives. Int J Prod Res 39(7):1405–1426

    Article  MATH  Google Scholar 

  • Cooke D, Rohleder T, Silver E (2004) Finding effective schedules for the economic lot scheduling problem: a simple mixed integer programming approach. Int J Prod Res 42:21–36(16)

    Article  MATH  Google Scholar 

  • Eksioglu SD, Mingzhou J (2006) Cross-facility production and transportation planning problem with perishable inventory. In: Gavrilova M, Gervasi O, Kumar V, Tan CJK, Taniar D, Laganà A, Mun Y, Choo H (eds) ICCSA (3) 06, volume 3982 of Lecture Notes in Computer Science. Springer Berlin, pp. 708–717

  • Elmaghraby S (1978) The economic lot scheduling problem (ELSP): review and extension. Manage Sci 24:587–597

    Article  MATH  Google Scholar 

  • Faulin J (2003) Applying MIXALG procedure in a routing problem to optimize food product delivery. Omega 31(5):387–395

    Article  Google Scholar 

  • Federgruen A, Prastacos G, Zipkin P (1986) An allocation and distribution model for perishable products. Oper Res 34(1):75–82

    Article  MATH  Google Scholar 

  • Federgruen A, Zipkin P (1984) A combined vehicle routing and inventory allocation problem. Oper Res 32(5):1019–1037

    Article  MathSciNet  MATH  Google Scholar 

  • Ferguson M, Koenigsberg O (2007) How should a firm manage deteriorating inventory. Prod Oper Manage 16(3):306–321

    Article  Google Scholar 

  • Flapper S, Fransoo J, Broekmeulen R, Inderfurth K (2002) Production planning and control of rework in the process industry. Prod Plan Control 13(1):26–34

    Article  Google Scholar 

  • Garcia J, Lozano S (2004) Production and vehicle scheduling for ready-mix operations. Comput Ind Eng 46(4):803–816

    Article  MathSciNet  Google Scholar 

  • Garcia J, Lozano S (2005) Production and delivery scheduling problem with time windows. Comput Ind Eng 48(4):733–742

    Article  Google Scholar 

  • Gawijnowicz S (2007) Scheduling deteriorating jobs subject to job or machine availability constraints. Eur J Oper Res 180(1):472–478

    Article  Google Scholar 

  • Ghare P, Schrader G (1963) A model for an exponentially decaying. J Ind Eng 14:238–243

    Google Scholar 

  • Goyal S (2003) The production–inventory problem of a product with time varying demand, production and deterioration rates. Eur J Oper Res 147(3):549–557

    Article  MATH  Google Scholar 

  • Goyal S, Giri B (2001) Recent trends in modeling deteriorating inventory. Eur J Oper Res 134(1):1–16

    Article  MathSciNet  MATH  Google Scholar 

  • Goyal S, Viswanathan S (2002) Technical note: on manufacturing batch size and ordering policy for products with shelf lives. Int J Prod Res 40(8):1965–1970

    Article  MATH  Google Scholar 

  • Hsu C-I, Hung S, Li H-C (2007) Vehicle routing problem with time-windows for perishable food delivery. J Food Eng 80:465–75

    Article  Google Scholar 

  • Hsu V (2003) An economic lot size model for perishable products with age-dependent inventory and backorder costs. IIE Trans 35(8):775–780

    Article  Google Scholar 

  • Hwang H (1999) A food distribution model for famine relief. Comput Ind Eng 37(1-2):335–338

    Article  Google Scholar 

  • Kar S, Bhunia A, Maiti M (2001) Inventory of multi–deteriorating items sold from two shops under single management. J Food Eng 70:2–9

    Google Scholar 

  • Karaesmen I, Scheller-Wolf A, Deniz B (2009) Managing perishable and aging inventories: review and future research directions. Kluwer International Series in Operations Research and Management Science. Kluwer Academic Publishers,

  • Kilcast D, Subramaniam P (2000) The stability and shelf-life of food. Woodhead, Cambridge

    Book  Google Scholar 

  • Li D, Kehoe D, Drake P (2006) Dynamic planning with a wireless product identification technology in food supply chains. Int J Adv Manuf Technol 30(9/10):938–944

    Article  Google Scholar 

  • Lin C, Chen H (2003) Dynamic allocation of uncertain supply for the perishable commodity supply chain. Int J Prod Res 41(13):3119–3138

    Article  MATH  Google Scholar 

  • Lin G, Kroll D, Lin C (2006) Determining a common production cycle time for an economic lot scheduling problem with deteriorating items. Eur J Oper Res 173(2):669–682

    Article  MathSciNet  MATH  Google Scholar 

  • Lütke Entrup M, Günther H-O, Van Beek P, Grunow M, Seiler T (2005) Mixed-Integer Linear Programming approaches to shelf-life-integrated planning and scheduling in yoghurt production. Int J Prod Res 43(23):5071–5100

    Article  Google Scholar 

  • Manna S, Chaudhuri K (2001) An economic order quantity model for deteriorating items with time-dependent deterioration rate, demand rate, unit production cost and shortages. Int J Sys Sci 32(8):1003–1009

    MathSciNet  MATH  Google Scholar 

  • Marinelli F, Nenni ME, Sforza A (2007) Capacitated lot sizing and scheduling with parallel machines and shared buffers: A case study in a packaging company. Ann Oper Res 150(1):177–192

    Article  MathSciNet  MATH  Google Scholar 

  • Matsatsinis N (2004) Towards a decision support system for the ready concrete distribution system: a case of a greek company. Eur J Oper Res 152(2):487–99

    Article  MATH  Google Scholar 

  • Min H, Zhou G (2002) Supply chain modeling: past, present and future. Comput Ind Eng 43(1-2):231–249

    Article  Google Scholar 

  • Minner S, Transchel S (2010) Periodic review inventory-control for perishable products under service-level constraints. OR Spectrum 32(4):979–996

    Article  MathSciNet  MATH  Google Scholar 

  • Nahmias S (1982) Perishable inventory theory: a review. Oper Res 30(4):680–708

    Article  MathSciNet  MATH  Google Scholar 

  • Naso D, Surico M, Turchiano B (2007a) Reactive scheduling of a distributed network for the supply of perishable products. IEEE Trans Autom Sci Eng 4(3):407–23

    Article  Google Scholar 

  • Naso D, Surico M, Turchiano B, Kaymak U (2007b) Genetic algorithms for supply-chain scheduling: a case study in the distribution of ready-mixed concrete. Eur J Oper Res 177(3):2069–99

    Article  MATH  Google Scholar 

  • Neumann K, Schwindt C, Trautmann N (2002) Advanced production scheduling for batch plants in process industries. OR Spectrum 24(3):251–279

    Article  MathSciNet  MATH  Google Scholar 

  • Osvald A, Stirn L (2008) A vehicle routing algorithm for the distribution of fresh vegetables and similar perishable food. J Food Eng 85(2):285–295

    Article  Google Scholar 

  • Pahl J, Voß S (2010) Discrete lot-sizing and scheduling including deterioration and perishability constraints. In: Dangelmaier W, Blecken A, Delius R, Klöpfer S (eds.) Advanced manufacturing and sustainable logistics, volume 46 of Lecture Notes in Business Information Processing. Springer, Berlin, pp. 345–357

  • Pahl J, Voß S, Woodruff DL (2007) Production planning with deterioration constraints: a survey. In Ceroni JA (eds) The development of collaborative production and service systems in emergent economies, proceedings of the 19th international conference on production research

  • Pahl J, Voß S, Woodruff DL (2011) Discrete lot-sizing and scheduling with sequence-dependent setup times and costs including deterioration and perishability constraints. In IEEE, HICSS-44

  • Park Y (2005) An integrated approach for production and distribution planning in supply chain management. Int J Prod Res 43(6):1205–1224

    Article  MATH  Google Scholar 

  • Raafat F (1991) Survey of literature on continuously deteriorating inventory models. J Oper Res Soc 42:27–37

    MATH  Google Scholar 

  • Rau H (2003) Integrated inventory model for deteriorating items under a multi-echelon supply chain environment. Int J Prod Econ 86(2):155–168

    Article  Google Scholar 

  • Rong A, Akkerman R, Grunow M (2009) An optimization approach for managing fresh food quality throughout the supply chain. Int J Prod Econ (in press)

  • Sarker B, Chowdhury M (2002) Response to technical note on Manufacturing batch size and ordering policy for products with shelf lives. Int J Prod Res 40(8):1971–1972

    Article  MATH  Google Scholar 

  • Schmid V, Doerner K, Hartl R, Salazar-González J-J (2010) Hybridization of very large neighborhood search for ready-mixed concrete delivery problems. Comput Oper Res 37(3):559–574

    Article  MathSciNet  MATH  Google Scholar 

  • Shulman R (2001) Perishable systems take center stage. Supermarket Bus 56(4):47–48

    Google Scholar 

  • Soman C, Donk DV, Gaalman G (2004) A basic period approach to the economic lot scheduling problem with shelf life considerations. Int J Prod Res 42(8):1677–1689

    Article  MATH  Google Scholar 

  • Tadei R, Trubian M, Avendano J, Della Croce F, Menga G (1995) Aggregate planning and scheduling in the food industry: A case study. Eur J Oper Res 87:564–573

    Article  MATH  Google Scholar 

  • Tarantilis C, Kiranoudis C (2001) A meta-heuristic algorithm for the efficient distribution of perishable foods. J Food Eng 50(1):1–9

    Article  Google Scholar 

  • Tarantilis C, Kiranoudis C (2002) Distribution of fresh meat. J Food Eng 51(1):85–91

    Article  Google Scholar 

  • Teunter R, Flapper S (2003) Lot-sizing for a single-stage single-product production system with rework of perishable production defectives. OR Spectrum 25(1):85–96

    Article  MathSciNet  MATH  Google Scholar 

  • Tsiros M, Heilman C (2005) The effect of expiration dates and perceived risk on purchasing behavior in grocery store perishable categories. J Market 69:114–129

    Article  Google Scholar 

  • Van Buer M, Woodruff D, Olson RT (1999) Solving the medium newspaper production/distribution problem. Eur J Oper Res 115:237–253

    Article  MATH  Google Scholar 

  • Van Donk D (2001) Make to stock or make to order: The decoupling point in the food processing industries. Int J Prod Econ 60(3):297–306

    Article  Google Scholar 

  • Wang Q (2005) Sequencing the processing of incoming mail to match an outbound truck delivery schedule. Comput Oper Res 32(7):1777–1791

    Article  MATH  Google Scholar 

  • Wang X, Li D, O’Brien C (2009) Optimisation of traceability and operations planning: an integrated model for perishable food production. Int J Prod Res 47(11):2865–2886

    Article  MATH  Google Scholar 

  • Wee H (1993) Increasing efficiency in the supply chain for short shelf life goods using RFID tagging. Comput Ind Eng 3(24):449–458

    Article  Google Scholar 

  • Xu Y, Sarker B (2003) Models for a family of products with shelf life, and production shortage costs in emerging markets. Comput Oper Res 30:925–938

    Article  MATH  Google Scholar 

  • Yan C, Banerjee A, Yang L (2010) An integrated production-distribution model for a deteriorating inventory item. (To apperar) Int J Prod Econ

  • Yang P, Wee H (2003) An integrated multi-lot-size production inventory model for deteriorating item. Comput Oper Res 30(5):671–682

    Article  MATH  Google Scholar 

  • Yao M, Huang J (2005) Solving the economic lot scheduling problem with deteriorating items using genetic algorithms. J Food Eng 70(3):309–322

    Article  Google Scholar 

Download references

Acknowledgments

The first author appreciate the support of the FCT Project PTDC/EGE-GES/104443/2008 and the FCT Grant SFRH/BD/68808/2010.

Author information

Authors and Affiliations

  1. DEIG, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4600-001, Porto, Portugal

    P. Amorim & B. Almada-Lobo

  2. Department of Supply Chain Management (580C), Universitaet Hohenheim, 70593, Stuttgart, Germany

    H. Meyr

  3. Department of Supply Chain Management, European University Viadrina Frankfurt (Oder), Große Scharrnstr. 59, 15230, Frankfurt (Oder), Germany

    C. Almeder

Authors
  1. P. Amorim
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. H. Meyr
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. C. Almeder
    View author publications

    You can also search for this author inPubMed Google Scholar

  4. B. Almada-Lobo
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to P. Amorim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Amorim, P., Meyr, H., Almeder, C. et al. Managing perishability in production-distribution planning: a discussion and review. Flex Serv Manuf J 25, 389–413 (2013). https://doi.org/10.1007/s10696-011-9122-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10696-011-9122-3

Keywords