Efficient inventory control for imperfect quality items

In this paper, we present a general EOQ model for items that are subject to inspection for imperfect quality. Each lot that is delivered to the sorting facility undertakes a 100 per cent screening and the percentage of defective items per lot reduces according to a learning curve. The generality of the model is viewed as important both from an academic and practitioner perspective. The mathematical formulation considers arbitrary functions of time that allow the decision maker to assess the consequences of a diverse range of strategies by employing a single inventory model. A rigorous methodology is utilised to show that the solution is a unique and global optimal and a general step-by-step solution procedure is presented for continuous intra-cycle periodic review applications. The value of the temperature history and flow time through the supply chain is also used to determine an efficient policy. Furthermore, coordination mechanisms that may affect the supplier and the retailer are explored to improve inventory control at both echelons. The paper provides illustrative examples that demonstrate the application of the theoretical model in different settings and lead to the generation of interesting managerial insights.

[1]  Lakdere Benkherouf,et al.  Optimal lot sizing for a production-recovery system with time-varying demand over a finite planning horizon , 2014 .

[2]  Shib Sankar Sana,et al.  A mathematical model on EPQ for stochastic demand in an imperfect production system , 2013 .

[3]  Stefan Voß,et al.  Discrete Lot-Sizing and Scheduling Including Deterioration and Perishability Constraints , 2010, Heinz Nixdorf Symposium.

[4]  S. K. Goel,et al.  Economic order quantity model for deteriorating items with imperfect quality and permissible delay on payment , 2011 .

[5]  T. Datta,et al.  Demand promotion by upgradation under stock-dependent demand situation – a model , 1998 .

[6]  James A. Kahn.  Inventories and the volatility of production , 1986 .

[7]  S. Nahmias.  On Ordering Perishable Inventory when Both Demand and Lifetime are Random , 1977 .

[8]  Chelsea C. White,et al.  In-transit perishable product inspection , 2012 .

[9]  Mohamad Y. Jaber,et al.  Learning and forgetting models and their applications , 2013 .

[10]  S. K. Goyal,et al.  Recent trends in modeling of deteriorating inventory , 2001, Eur. J. Oper. Res..

[11]  Walid W. Nasr,et al.  Effect of deterioration on the instantaneous replenishment model with imperfect quality items , 2014 .

[12]  H A Bremner.  Quality: an attitude of mind , 1984 .

[13]  Michael E. Ketzenberg,et al.  Managing Perishables with Time and Temperature History , 2015 .

[14]  K Koutsoumanis,et al.  Development of a Safety Monitoring and Assurance System for chilled food products. , 2005, International journal of food microbiology.

[15]  Mark E. Ferguson,et al.  How Should a Firm Manage Deteriorating Inventory , 2009 .

[16]  M. K. Salameh,et al.  Economic production quantity model for items with imperfect quality , 2000 .

[17]  Lakdere Benkherouf,et al.  Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand , 1994 .

[18]  Ioannis Konstantaras,et al.  Optimal Pricing and replenishment Policy for Noninstantaneous deteriorating items and Two Levels of Storage , 2013, Asia Pac. J. Oper. Res..

[19]  Uday S. Karmarkar,et al.  Quality, Class, and Competition , 1997 .

[20]  Sabah Al-Fedaghi,et al.  Information Management and Valuation , 2013 .

[21]  A. Taleizadeh,et al.  An inventory control problem for deteriorating items with back-ordering and financial considerations under two levels of trade credit linked to order quantity , 2015 .

[22]  F. Olsson.  Modelling two-echelon serial inventory systems with perishable items , 2010 .

[23]  Kun-Jen Chung,et al.  Optimal pricing and ordering policy for perishable items with limited storage capacity and partial trade credit , 2013 .

[24]  Hui-Ming Wee,et al.  Economic production lot size model for deteriorating items with partial back-ordering , 1993 .

[25]  Ralf W. Seifert,et al.  Item‐Level RFID in the Retail Supply Chain , 2007 .

[26]  George C. Philip,et al.  An EOQ Model for Items with Weibull Distribution Deterioration , 1973 .

[27]  Shahin Rahimifard,et al.  A responsive demand management framework for the minimization of waste in convenience food manufacture , 2006, Int. J. Comput. Integr. Manuf..

[28]  B. Maddah,et al.  Economic order quantity for items with imperfect quality: Revisited , 2008 .

[29]  Stephen C. H. Leung,et al.  A stochastic programming model for production planning of perishable products with postponement , 2007 .

[30]  Gregory Zacharewicz,et al.  Distributed simulation platform to design advanced RFID based freight transportation systems , 2011, Comput. Ind..

[31]  F. P. Scheer,et al.  RFID will help keep perishables fresh , 2005 .

[32]  Shib Sankar Sana,et al.  An economic production lot size model in an imperfect production system , 2010, Eur. J. Oper. Res..

[33]  Stefan Voß,et al.  Integrating deterioration and lifetime constraints in production and supply chain planning: A survey , 2014, Eur. J. Oper. Res..

[34]  S. Sana.  An economic order quantity model for nonconforming quality products , 2012 .

[35]  Ahmed Shaban,et al.  Exploring the Bullwhip Effect and Inventory Stability in a Seasonal Supply Chain , 2013 .

[36]  Richard D. Metters,et al.  Quantifying the bullwhip effect in supply chains , 1997 .

[37]  Ezey M. Dar-Ei,et al.  Human learning : from learning curves to learning organizations , 2000 .

[38]  Mohamad Y. Jaber,et al.  Economic order quantity model for items with imperfect quality, different holding costs, and learning effects: A note , 2010, Comput. Ind. Eng..

[39]  S. Goyal,et al.  Economic production quantity model for items with imperfect quality subject to learning effects , 2008 .

[40]  Zhao Pei-xin,et al.  An EOQ Model for Items with Weibull Distribution Deterioration , 2007, 2007 2nd IEEE Conference on Industrial Electronics and Applications.

[41]  Prafulla Joglekar,et al.  An exact formulation of inventory costs and optimal lot size in face of sudden obsolescence , 1993, Oper. Res. Lett..

[42]  A. Alamri,et al.  The effects of learning and forgetting on the optimal production lot size for deteriorating items with time varying demand and deterioration rates , 2007 .

[43]  Mark E. Ferguson,et al.  Managing Slow‐Moving Perishables in the Grocery Industry , 2007 .

[44]  T. P. Wright,et al.  Factors affecting the cost of airplanes , 1936 .

[45]  K. S. Chaudhuri,et al.  Optimal Pricing of competing retailers under uncertain demand-a two layer supply chain model , 2018, Ann. Oper. Res..

[46]  A. G. Lagodimos,et al.  Global optimization of two-echelon serial chains with replenishment costs , 2017 .

[47]  Stephen A. Smith,et al.  Clearance Pricing and Inventory Policies for Retail Chains , 1998 .

[48]  Raymond B. Jordan,et al.  How to use the learning curve , 1965 .

[49]  Adel A. Alamri.  Theory and methodology on the global optimal solution to a General Reverse Logistics Inventory Model for deteriorating items and time-varying rates , 2011, Comput. Ind. Eng..

[50]  Michael E. Ketzenberg,et al.  A framework for the value of information in inventory replenishment , 2007, Eur. J. Oper. Res..

[51]  R. Klassen,et al.  Social issues in supply chains: Capabilities link responsibility, risk (opportunity), and performance , 2012 .

[52]  S. Sana,et al.  Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products , 2016 .

[53]  Upendra Dave.  A probabilistic scheduling period inventory model for deteriorating items with lead time , 1986, Z. Oper. Research.

[54]  Saeed Zolfaghari,et al.  A review of the extensions of a modified EOQ model for imperfect quality items , 2011 .

[55]  K Koutsoumanis,et al.  Use of time-temperature integrators and predictive modelling for shelf life control of chilled fish under dynamic storage conditions. , 1999, International journal of food microbiology.

[56]  Edward A. Silver,et al.  Lot sizing for a product subject to obsolescence or perishability , 1994 .

[57]  Ruud H. Teunter,et al.  Review of inventory systems with deterioration since 2001 , 2012, Eur. J. Oper. Res..

[58]  Régis Chenavaz,et al.  Dynamic pricing, product and process innovation , 2012, Eur. J. Oper. Res..

[59]  M. Javad Paknejad,et al.  Quality improvement in an inventory model with finite-range stochastic lead times , 2005, Adv. Decis. Sci..

[60]  Masafumi Hagiwara,et al.  Applying self-adaptive evolutionary algorithms to two-dimensional packing problems using a four corners' heuristic , 2007, Eur. J. Oper. Res..

[61]  M. A. Rosen,et al.  Price-driven economic order systems from a thermodynamic point of view , 2004 .

[62]  Jing-Sheng Song,et al.  Managing Inventory with the Prospect of Obsolescence , 1996, Oper. Res..

[63]  LOUIS J. RONSIVALLI.  Spoilage and Shelf Life Prediction of Refrigerated Fish , 2011 .

[64]  Tadashi Dohi,et al.  Optimal inventory policies under product obsolescent circumstance , 1995 .

[65]  Chandra K. Jaggi,et al.  Economic order quantity model for deteriorating items with imperfect quality , 2011 .

[66]  Mark Ferguson,et al.  Sharing Information to Manage Perishables (ed.2) , 2004 .

[67]  Nita H. Shah,et al.  Eoq Model for Time-Dependent deterioration Rate with a temporary Price discount , 2005, Asia Pac. J. Oper. Res..

[68]  Lakdere Benkherouf,et al.  Optimal replenishment policies for deteriorating items and permissible delay in payments , 2015 .

[69]  T. M. Murdeshwar.  Inventory Replenishment Policy for Linearly Increasing Demand Considering Shortages-An Optimal Solution , 1988 .

[70]  Pinar Keskinocak,et al.  Dynamic pricing in the presence of inventory considerations: research overview, current practices, and future directions , 2003, IEEE Engineering Management Review.

[71]  József Vörös,et al.  Product balancing under conditions of quality inflation, cost pressures and growth strategies , 2002, Eur. J. Oper. Res..

[72]  Monami Das Roy,et al.  An economic production lot size model for defective items with stochastic demand, backlogging and rework , 2014 .

[73]  Chao-Kuei Huang.  An optimal policy for a single-vendor single-buyer integrated production-inventory problem with process unreliability consideration , 2004 .

[74]  P. Amorim,et al.  Managing perishability in production-distribution planning: a discussion and review , 2013 .

[75]  W. M. Chan,et al.  A new EPQ model: integrating lower pricing, rework and reject situations , 2003 .

[76]  Christian van Delft,et al.  Discounted costs, obsolescence and planned stockouts with the EOQ formula , 1996 .

[77]  Steven Nahmias.  Optimal Ordering Policies for Perishable Inventory - II , 1975, Oper. Res..

[78]  Ruud H. Teunter,et al.  Lot-sizing for a single-stage single-product production system with rework of perishable production defectives , 2003, OR Spectr..

[79]  T.C.E. Cheng,et al.  An Economic Order Quantity Model with Demand-Dependent Unit Production Cost and Imperfect Production Processes , 1991 .

[80]  Jean-Pierre Emond,et al.  Shelf Life Prediction by Intelligent RFID - Technical Limits of Model Accuracy , 2007, LDIC.

[81]  Carmen Peota.  Loss leader. , 2006, Minnesota medicine.