An integrated inventory model with variable lead time, defective units and delay in payments

Abstract It is a common business strategy that suppliers offer credit period to motivate customers for buying more items. As a result, suppliers can increase their own profit by selling more and earning interest if customers are failed to credit the debited amount within the delay period. The model assumes this policy along with the production of defective items and the inspection policy where the order quantity and lead time are considered as decision variables. The lead time is stochastic in nature. The model is derived analytically and an algorithm is used to minimize the total cost of the system. Finally, a numerical example is given to illustrate the model.

[1]  Liang-Yuh Ouyang,et al.  Mixture inventory model involving variable lead time and defective units , 1999 .

[2]  N. E. Abboud,et al.  Continuous review inventory model with delay in payments , 2003 .

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

[4]  Alan G. White,et al.  Value at Risk When Daily Changes in Market Variables are not Normally Distributed , 1998 .

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

[6]  B. Sarkar,et al.  An Inventory Model with Finite Replenishment Rate, Trade Credit Policy and Price-Discount Offer , 2013 .

[7]  C. Liao,et al.  An Analytical Determination of Lead Time with Normal Demand , 1991 .

[8]  L. Ouyang,et al.  Mixture Inventory Model with Backorders and Lost Sales for Variable Lead Time , 1996 .

[9]  B. Everitt,et al.  Finite Mixture Distributions , 1981 .

[10]  Biswajit Sarkar,et al.  Integrated vendor-buyer supply chain model with vendor's setup cost reduction , 2013, Appl. Math. Comput..

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

[12]  B. Sarkar,et al.  A stock-dependent inventory model in an imperfect production process , 2010 .

[13]  Shib Sankar Sana,et al.  An economic production quantity model with stochastic demand in an imperfect production system , 2011 .

[14]  Biswajit Sarkar,et al.  A finite replenishment model with increasing demand under inflation , 2010, Int. J. Math. Oper. Res..

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

[16]  Abdul Raouf,et al.  Inventory Models Involving Lead Time as a Decision Variable , 1994 .

[17]  S. Goyal,et al.  An imperfect production process in a volume flexible inventory model , 2007 .

[18]  Sheldon M. Ross,et al.  Introduction to Probability Models (4th ed.). , 1990 .

[19]  B. Sarker,et al.  An ordering policy for deteriorating items with allowable shortage and permissible delay in payment , 1997 .

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

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

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

[23]  Sheldon M. Ross,et al.  Introduction to probability models , 1975 .

[24]  S. Goyal.  Economic Order Quantity under Conditions of Permissible Delay in Payments , 1985 .

[25]  Biswajit Sarkar,et al.  An EOQ model with delay in payments and time varying deterioration rate , 2012, Math. Comput. Model..

[26]  Benoit B. Mandelbrot,et al.  A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices: Comment , 1973 .

[27]  L. Ouyang,et al.  Mixture inventory model involving variable lead time and controllable backorder rate , 2001 .

[28]  C. H. Kim,et al.  An optimal production run length in deteriorating production processes , 1999 .

[29]  Kun-Shan Wu,et al.  (Q, r) inventory model with variable lead time when the amount received is uncertain , 2000 .

[30]  D. Duffie,et al.  An Overview of Value at Risk , 1997 .

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

[32]  James J. Solberg,et al.  Operations Research: Principles and Practice. , 1977 .

[33]  P. Clark.  A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices , 1973 .

[34]  Shib Sankar Sana,et al.  Optimal reliability, production lotsize and safety stock: an economic manufacturing quantity model , 2010 .

[35]  Hui-Yin Tsai,et al.  Mixture inventory model with back orders and lost sales for variable lead time demand with the mixtures of normal distribution , 2001 .

[36]  Biswajit Sarkar,et al.  An EOQ model with delay in payments and stock dependent demand in the presence of imperfect production , 2012, Appl. Math. Comput..

[37]  Hark Hwang,et al.  Retailer's pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payments , 1997, Comput. Oper. Res..

[38]  K. S. Chaudhuri,et al.  An imperfect production process for time varying demand with inflation and time value of money - An EMQ model , 2011, Expert Syst. Appl..

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

[40]  Wen-Chuan Lee,et al.  Computational procedure of optimal inventory model involving controllable backorder rate and variable lead time with defective units , 2012, Int. J. Syst. Sci..