Effect of deterioration on two-warehouse inventory model with imperfect quality

Two-warehouse inventory model for deteriorating items with imperfect quality.100% screening is conducted immediately after receiving the order.The screening rate is assumed to be greater than the demand rate (no shortages).Imperfect items are sold as a single batch at a discounted price.The proposed model is a general framework as it includes numerous previous models. The formulation of inventory models is often done with the presumption that all items produced are of perfect quality in nature. However, in real-life scenarios, the lot that arrives in inventory includes a fraction of imperfect quality items due to faulty production or mishandling of goods. It is also a misconception that the goods preserve their characteristics during their presence in the inventory. Thus, these assumptions need to be rectified in the planning/preparation of inventory models. In order to reduce the losses due to deterioration, at times, the retailer is forced to rent other warehouses (RW) with better preserving facilities, owing to the lack of facilities in his own warehouse (OW). The retailer may also rent warehouses voluntarily to store excessive goods that have been obtained at a discounted price or in order to avoid inflation rates. The present research paper is, thus, an attempt to incorporate the aforementioned concepts to develop a new inventory model with two warehouses: for goods that have a fraction of imperfect quality items and those that are deteriorating in nature. The study also states the developed mathematical model along with the solution procedure. Further, the sensitivity analysis of the optimal solution with respect to key parameters of the inventory system has also been performed to develop the managerial insights.

[1]  Biswajit Sarkar,et al.  An inventory model with reliability in an imperfect production process , 2012, Appl. Math. Comput..

[2]  Chun Chen Lee,et al.  Two-warehouse inventory model with deterioration under FIFO dispatching policy , 2006, Eur. J. Oper. Res..

[3]  K. S. Chaudhuri,et al.  Optimal reliability, production lot size and safety stock in an imperfect production system , 2010, Int. J. Math. Oper. Res..

[4]  Shib Sankar Sana,et al.  A production-inventory model in an imperfect production process , 2010, Eur. J. Oper. Res..

[5]  P. M. Ghare.  A model for an exponentially decaying inventory , 1963 .

[6]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[7]  Meir J. Rosenblatt,et al.  Economic Production Cycles with Imperfect Production Processes , 1986 .

[8]  S. Papachristos,et al.  Economic ordering quantity models for items with imperfect quality , 2006 .

[9]  Shy-Der Lin,et al.  A two-warehouse inventory model with imperfect quality production processes , 2009, Comput. Ind. Eng..

[10]  Manoranjan Maiti,et al.  A two warehouse inventory model for deteriorating items with a linear trend in demand and shortages , 1998, J. Oper. Res. Soc..

[11]  L. Cárdenas-Barrón,et al.  Note on: Economic production quantity model for items with imperfect quality – a practical approach , 2002 .

[12]  Chandra K. Jaggi,et al.  An optimal replenishment policy for non-instantaneous deteriorating items with two storage facilities , 2010 .

[13]  L. E. Barron.  OBSERVATION ON: ECONOMIC PRODUCTION QUANTITY MODEL FOR ITEMS WITH IMPERFECT QUALITY , 2000 .

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

[15]  Ilkyeong Moon,et al.  An EPQ model with inflation in an imperfect production system , 2011, Appl. Math. Comput..

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

[17]  Yanlai Liang,et al.  A two-warehouse inventory model for deteriorating items under conditionally permissible delay in payment , 2011 .

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

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

[20]  Shib Sankar Sana,et al.  A production-inventory model of imperfect quality products in a three-layer supply chain , 2011, Decis. Support Syst..

[21]  Hui-Ling Yang.  Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation , 2012 .

[22]  Liang-Yuh Ouyang,et al.  Determining optimal lot size for a two-warehouse system with deterioration and shortages using net present value , 2008, Eur. J. Oper. Res..

[23]  DaeSoo Kim,et al.  Lot sizing and quality investment with quality cost analyses for imperfect production and inspection processes with commercial return , 2012 .

[24]  Ritu Sharma,et al.  A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging , 2014, Appl. Math. Comput..

[25]  Hui-Ling Yang.  Two-warehouse partial backlogging inventory models for deteriorating items under inflation , 2006 .

[26]  Evan L. Porteus.  Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction , 1986, Oper. Res..

[27]  Hui-Ling Yang,et al.  Two-warehouse inventory models for deteriorating items with shortages under inflation , 2004, Eur. J. Oper. Res..

[28]  Barun Das,et al.  A two warehouse supply-chain model under possibility/ necessity/credibility measures , 2007, Math. Comput. Model..

[29]  Yong-Wu Zhou,et al.  A two-warehouse inventory model for items with stock-level-dependent demand rate , 2005 .

[30]  Walid W. Nasr,et al.  An instantaneous replenishment model under the effect of a sampling policy for defective items , 2013 .

[31]  Xin Zhang,et al.  Joint lot sizing and inspection policy in an EOQ model with random yield , 1990 .

[32]  Jinxing Xie,et al.  A note on "Two-warehouse inventory model with deterioration under FIFO dispatch policy" , 2008, Eur. J. Oper. Res..

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

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

[35]  Philip M. Wolfe,et al.  An inventory model for deteriorating items , 1991 .

[36]  Mohamad Y. Jaber,et al.  Effect of deteriorating items on the instantaneous replenishment model , 1999 .

[37]  L. Cárdenas-Barrón.  Observation on: "Economic production quantity model for items with imperfect quality" [Int. J. Production Economics 64 (2000) 59-64] , 2000 .

[38]  Mohamad Y. Jaber,et al.  An entropic economic order quantity (EnEOQ) for items with imperfect quality , 2013 .

[39]  Yong-Wu Zhou,et al.  Improving the supply chain's performance through trade credit under inventory-dependent demand and limited storage capacity , 2013 .

[40]  J. A. C. C. Watson-Gandy.  Operations Research—A Managerial Emphasis , 1977 .

[41]  Shu-Lu Hsu,et al.  A two-warehouse production model for deteriorating inventory items with time-dependent demands , 2009, Eur. J. Oper. Res..

[42]  H. Wee,et al.  An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation , 2007 .

[43]  Kamyar Sabri-Laghaie,et al.  Developing approximate algorithms for EPQ problem with process compressibility and random error in production/inspection , 2014 .