An EPQ model for two-warehouse in unremitting release pattern with two-level trade credit period concerning both supplier and retailer

A Two warehouse EPQ model with continuous release, under trade credit is solvedNew method for retailer's payment to supplier, which increases profit is presentedComparison between conventional and new approach is drawn through tables and graphsIntegrated two warehouse inventory model with two level trade credit is introducedIn particular, results of models with single level credit/single store are derived The present study deals with the development of an integrated production inventory model of supplier and retailer where a delay in payment is accessible by supplier towards the retailer and also by retailer en route for customer. Moreover, this paper relates to two warehouse inventory policy with continuous discharge along with two-level of credit period in a finite planning horizon. A retailer- the owner of two warehouses offers and accepts a credit period to the customer and from the wholesaler respectively. Depending upon the time of offering and accepting credit periods and with respect to the time of exhaust of inventory in two warehouses, different scenarios have been depicted in this approach of study. The objective of the current study is to minimize the total integrated cost of both supplier and retailer. Furthermore, an alternative approach of payment for the remaining inventory after the credit period has also been proposed in the present study. This new approach to analyze the interest earned by the retailer has been specified in this model, which has been explained with the help of numerical examples in conjunction with sensitivity analysis and the outcome is contrasted against the above cited traditional approach as well. The model has been developed as a cost minimization problem with respect to the retailer and supplier and has been optimized using the non-linear optimization technique - Generalized Reduced Gradient method (LINGO). The optimal solutions under different scenarios have been exemplified numerically and graphically in this study.

[1]  R. Higgins,et al.  Inventory Policy and Trade Credit Financing , 1973 .

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

[3]  Jinn-Tsair Teng,et al.  An economic order quantity model for deteriorating items with partially permissible delay in payments linked to order quantity , 2009, Eur. J. Oper. Res..

[4]  S. Aggarwal,et al.  Ordering Policies of Deteriorating Items under Permissible Delay in Payments , 1995 .

[5]  Yong-Wu Zhou,et al.  An inventory model for deteriorating items under stock-dependent demand and two-level trade credit , 2010 .

[6]  K. K. Aggarwal,et al.  Two-warehouse inventory model for deteriorating items when demand is price sensitive , 2010 .

[7]  Manoranjan Maiti,et al.  Two storage inventory model of a deteriorating item with variable demand under partial credit period , 2013, Appl. Soft Comput..

[8]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Retailer's decision for ordering and credit policies for deteriorating items when a supplier offers order-linked credit period or cash discount , 2015, Appl. Math. Comput..

[9]  K. Sarma A deterministic order level inventory model for deteriorating items with two storage facilities , 1987 .

[10]  Xin Yang,et al.  Efficient data management for incoherent ray tracing , 2013, Appl. Soft Comput..

[11]  Tsu-Pang Hsieh,et al.  A production-inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time , 2013, J. Comput. Appl. Math..

[12]  Chung-Yuan Dye,et al.  A finite horizon deteriorating inventory model with two-phase pricing and time-varying demand and cost under trade credit financing using particle swarm optimization , 2012, Swarm Evol. Comput..

[13]  K. K. Aggarwal,et al.  Inventory and pricing strategies for deteriorating items with limited capacity and time-proportional backlogging rate , 2010 .

[14]  Kuo-Chen Hung,et al.  Production , Manufacturing and Logistics An inventory model with generalized type demand , deterioration and backorder rates , 2010 .

[15]  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..

[16]  Chun-Tao Chang,et al.  Inventory Models with Stock-Dependent Demand and nonlinear Holding Costs for deteriorating items , 2004, Asia Pac. J. Oper. Res..

[17]  Manoranjan Maiti,et al.  A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time , 2008, Eur. J. Oper. Res..

[18]  Gour Chandra Mahata,et al.  An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain , 2012, Expert Syst. Appl..

[19]  Barun Das,et al.  Integrated supply chain model for a deteriorating item with procurement cost dependent credit period , 2013, Comput. Ind. Eng..

[20]  Neeraj Kumar,et al.  Two-warehouse fuzzy inventory model under the conditions of permissible delay in payments , 2011 .

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

[22]  K. S. Chaudhuri,et al.  A deterministic EOQ model with delays in payments and price-discount offers , 2008, Eur. J. Oper. Res..

[23]  Manoranjan Maiti,et al.  An application of real-coded genetic algorithm (RCGA) for mixed integer non-linear programming in two-storage multi-item inventory model with discount policy , 2006, Appl. Math. Comput..

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

[25]  S. K. Goel,et al.  Optimal order policy for deteriorating items with inflation induced demand , 2006 .

[26]  Yung-Fu Huang,et al.  Economic order quantity under conditionally permissible delay in payments , 2007, Eur. J. Oper. Res..

[27]  Liang-Yuh Ouyang,et al.  Production , Manufacturing and Logistics Optimal pricing , shipment and payment policy for an integrated supplier – buyer inventory model with two-part trade credit , 2007 .

[28]  Yung-Fu Huang,et al.  Optimal retailer's replenishment decisions in the EPQ model under two levels of trade credit policy , 2007, Eur. J. Oper. Res..

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

[30]  Maya Gayen,et al.  A two ware house inventory model for deteriorating items with stock dependent demand rate and holding cost , 2009, Oper. Res..

[31]  Manoranjan Maiti,et al.  A two-warehouse inventory model with stochastic demand, controllable lead time and fuzzy present value: a technique to deal with arbitrary fuzzy number , 2010 .

[32]  Shib Sankar Sana,et al.  Price-sensitive demand for perishable items - an EOQ model , 2011, Appl. Math. Comput..

[33]  Liang-Yuh Ouyang,et al.  A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments , 2006, Comput. Ind. Eng..

[34]  Jui‐Jung Liao An EOQ model with noninstantaneous receipt and exponentially deteriorating items under two-level trade credit , 2008 .

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

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

[37]  Dharmendra Yadav,et al.  A fuzzy multi-item production model with reliability and flexibility under limited storage capacity with deterioration via geometric programming , 2011, Int. J. Math. Oper. Res..

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

[39]  L. Ouyang,et al.  Integrated vendor–buyer cooperative models with stochastic demand in controllable lead time , 2004 .

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

[41]  Manoranjan Maiti,et al.  Two storage inventory model with random planning horizon , 2006, Appl. Math. Comput..

[42]  Yung-Fu Huang,et al.  Optimal retailer's replenishment policy for the EPQ model under the supplier's trade credit policy , 2004 .

[43]  Kin Keung Lai,et al.  An optimal production-inventory model for deteriorating items with multiple-market demand , 2010, Eur. J. Oper. Res..

[44]  Shyamal Kumar Mondal,et al.  A two-warehouse EOQ model with two-level delay in payment , 2012 .