An entropic economic order quantity (EnEOQ) for items with imperfect quality

Abstract This paper presents an entropic version of an EOQ model with imperfect quality items. The approach adopted herein models the commodity flow (demand rate) as a heat flow in a thermodynamic system. As a result, an entropy cost term is added to the classical inventory cost to form an entropic total inventory cost function. This provides an estimation of the hidden or difficult to estimate cost inventory systems that usually are the result of disorder (or entropy). A mathematical model is developed with numerical results presented and discussed.

[1]  Leopoldo Eduardo Cárdenas-Barrón On optimal batch sizing in a multi-stage production system with rework consideration , 2009, Eur. J. Oper. Res..

[2]  Leopoldo Eduardo Cárdenas-Barrón Optimal manufacturing batch size with rework in a single-stage production system - A simple derivation , 2008, Comput. Ind. Eng..

[3]  Tiaojun Xiao,et al.  Price and service competition of supply chains with risk-averse retailers under demand uncertainty , 2008 .

[4]  Marc A. Rosen,et al.  A thermodynamic approach to modelling the economic order quantity , 2006 .

[5]  John A. Buzacott,et al.  The Structure of Manufacturing Systems: Insights on the Impact of Variability , 1999 .

[6]  Mohamad Y. Jaber,et al.  Lot sizing with permissible delay in payments and entropy cost , 2007, Comput. Ind. Eng..

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

[8]  Bhaba R. Sarker,et al.  Optimal manufacturing batch size with rework process at a single-stage production system , 2004, Comput. Ind. Eng..

[9]  Abraham Mehrez,et al.  An Overview of Representative Research of the Relationships Between Quality and Inventory , 1998 .

[10]  S. K. Goyal,et al.  Economic ordering policy for an item with imperfect quality subject to the in-house inspection , 2007, Int. J. Syst. Sci..

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

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

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

[14]  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..

[15]  Rajiv D. Banker,et al.  Quality and Competition , 1998 .

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

[17]  F. Drechsler,et al.  Decision Trees and the Second Law , 1968 .

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

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

[20]  C. Glock The joint economic lot size problem: A review , 2012 .

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

[22]  Bacel Maddah,et al.  Order overlapping: A practical approach for preventing shortages during screening , 2010, Comput. Ind. Eng..

[23]  Nobuo Matsubayashi,et al.  Price and quality competition: The effect of differentiation and vertical integration , 2007, Eur. J. Oper. Res..

[24]  Fernando Bernstein,et al.  Decentralized Supply Chains with Competing Retailers Under Demand Uncertainty , 2005, Manag. Sci..

[25]  M. Jaber,et al.  Economic order quantity model for items with imperfect quality with learning in inspection , 2010 .

[26]  Ram Narasimhan,et al.  A Dynamic Model of Product Quality and Pricing Decisions on Sales Response , 1993 .

[27]  Y. Çengel,et al.  Thermodynamics : An Engineering Approach , 1989 .

[28]  Leopoldo Eduardo Cárdenas-Barrón,et al.  The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra , 2011 .

[29]  Maurice Bonney,et al.  An economic order quantity (EOQ) for items with imperfect quality and inspection errors , 2011 .

[30]  Bhaba R. Sarker,et al.  Optimal batch sizing in a multi-stage production system with rework consideration , 2008, Eur. J. Oper. Res..

[31]  Leopoldo Eduardo Cárdenas-Barrón On optimal manufacturing batch size with rework process at single-stage production system , 2007, Comput. Ind. Eng..

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

[33]  Marc A. Rosen,et al.  The economic order quantity repair and waste disposal model with entropy cost , 2008, Eur. J. Oper. Res..

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

[35]  József Vörös,et al.  The dynamics of price, quality and productivity improvement decisions , 2006, Eur. J. Oper. Res..

[36]  Karl Inderfurth,et al.  Planning and control of rework in the process industries: A review , 2002 .

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

[38]  Gerald L. Thompson,et al.  Optimal strategies for general price-quality decision models of new products with learning production costs , 1996 .