DETERMINING OPTIMAL PRICE, REPLENISHMENT LOT SIZE AND NUMBER OF SHIPMENTS FOR AN EPQ MODEL WITH REWORK AND MULTIPLE SHIPMENTS

In a regular manufacturing process at the end of each production cycle defective items are identified. Then some defective items are considered scrap and the others, after a reworking process with a defective rate, could convert in a perfect quality items. In this direction, this research work deals with the problem of the joint determination of selling price, replenishment lot size and the number of shipments for an economic production quantity (EPQ) model with rework of defective items when multi-shipment policy is used. After proving concavity of the long-run average benefit function, a practical algorithm is developed to find the optimal price, replenishment lot size and number of shipments in order to maximize the average long-run benefit function. A special case when there is no scrap is identified and explained. Furthermore, in order to show the practical usage of the proposed algorithm a case study from real world is presented and solved.

[1]  Mohamad Y. Jaber,et al.  Inventory models for imperfect quality items with shortages and learning in inspection , 2012 .

[2]  Shib Sankar Sana.  Optimal production lot size and reorder point of a two-stage supply chain while random demand is sensitive with sales teams' initiatives , 2016, Int. J. Syst. Sci..

[3]  Biswajit Sarkar,et al.  Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an Epq Model with Rework , 2013 .

[4]  B. Maddah,et al.  Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model , 2012 .

[5]  Bhaba R. Sarker,et al.  An optimal batch size for a production system operating under a just-in-time delivery system , 1993 .

[6]  Dah-Chuan Gong,et al.  Joint Determination of the Production Lot Size and Number of Shipments for EPQ Model with Rework , 2011 .

[7]  Manoranjan Maiti,et al.  An EPQ model with price discounted promotional demand in an imprecise planning horizon via Genetic Algorithm , 2009, Comput. Ind. Eng..

[8]  M.-F. Wu,et al.  Determining replenishment lot size and shipment policy for an extended EPQ model with delivery and quality assurance issues , 2011 .

[9]  Shib Sankar Sana.  Sales team's initiatives and stock sensitive demand — A production control policy , 2013 .

[10]  Deng-Maw Tsai,et al.  ECONOMIC PRODUCTION QUANTITY CONCERNING LEARNING AND THE REWORKING OF IMPERFECT ITEMS , 2012 .

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

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

[13]  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..

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

[15]  Ata Allah Taleizadeh,et al.  Multiproduct single-machine production system with stochastic scrapped production rate, partial backordering and service level constraint , 2010, J. Comput. Appl. Math..

[16]  Singa Wang Chiu,et al.  Alternative approach for solving replenishment lot size problem with discontinuous issuing policy and rework , 2012, Expert Syst. Appl..

[17]  Isa Nakhai Kamal Abadi,et al.  Joint control of inventory and its pricing for non-instantaneously deteriorating items under permissible delay in payments and partial backlogging , 2012, Math. Comput. Model..

[18]  Seyed Taghi Akhavan Niaki,et al.  A parameter-tuned genetic algorithm for multi-product economic production quantity model with space constraint, discrete delivery orders and shortages , 2010, Adv. Eng. Softw..

[19]  Leopoldo Eduardo Cárdenas-Barrón,et al.  An improved solution to the replenishment policy for the EMQ model with rework and multiple shipments , 2013 .

[20]  L. Cárdenas-Barrón,et al.  Multi products single machine EPQ model with immediate rework process , 2012 .

[21]  K. Skouri,et al.  An inventory model with deteriorating items, quantity discount, pricing and time-dependent partial backlogging , 2003 .

[22]  Ashish Sharma,et al.  Optimal procurement and pricing policies for inventory models with price and time dependent seasonal demand , 2010, Math. Comput. Model..

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

[24]  Shib Sankar Sana,et al.  A multi-echelon supply chain model for reworkable items in multiple-markets with supply disruption , 2012 .

[25]  Saibal Ray,et al.  Joint Pricing and Inventory Policies for Make-to-Stock Products with Deterministic Price-Sensitive Demand , 2005 .

[26]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Joint determination of the lot size and number of shipments for a family of integrated vendor–buyer systems considering defective products , 2015, Int. J. Syst. Sci..

[27]  Jia-Tzer Hsu,et al.  Two EPQ models with imperfect production processes, inspection errors, planned backorders, and sales returns , 2013, Comput. Ind. Eng..

[28]  S. Sana,et al.  Multi-item EOQ model while demand is sales price and price break sensitive , 2012 .

[29]  Ata Allah Taleizadeh,et al.  An improved solution to replenishment lot size problem with discontinuous issuing policy and rework, and the multi-delivery policy into economic production lot size problem with partial rework , 2012, Expert Syst. Appl..

[30]  Leopoldo Eduardo Cárdenas-Barrón,et al.  Economic production quantity with rework process at a single-stage manufacturing system with planned backorders , 2009, Comput. Ind. Eng..

[31]  Hui-Ming Wee,et al.  Economic production quantity model with repair failure and limited capacity , 2013 .

[32]  Ford W. Harris,et al.  How Many Parts to Make at Once , 1990, Oper. Res..

[33]  Singa Wang Chiu,et al.  Combining an alternative multi-delivery policy into economic production lot size problem with partial rework , 2012, Expert Syst. Appl..