Production?remanufacturing control problem for defective item under possibility constrains

This paper presents a new type of an optimal control production-recovery inventory system under inflation and discounting in fuzzy-stochastic environment. The product defectiveness is a random variable. The return products are the used products collected from the open market. The defective product is treated as return product. Return and defective products are either remanufactured or disposed of. Remanufactured product is used as a new product which can be sold to the customer. The demand depends upon the stock of serviceable product, time and selling price. In this paper, we propose an optimal control approach to optimise the production, remanufacturing and disposal strategy with respect to dynamic demand and return. The upper bounds of production, remanufacturing and disposal are fuzzy parameters. The optimum results are presented in both tabular and graphical forms.

[1]  Francisco Herrera,et al.  Recent advancements of fuzzy sets: Theory and practice , 2006, Inf. Sci..

[2]  Shib Sankar Sana,et al.  On a volume flexible inventory model for items with an imperfect production system , 2007 .

[3]  Masahiro Inuiguchi,et al.  The usefulness of possibilistic programming in production planning problems , 1994 .

[4]  L. Zadeh Fuzzy sets as a basis for a theory of possibility , 1999 .

[5]  Jonas C. P. Yu,et al.  Optimal inventory model for items with imperfect quality and shortage backordering , 2007 .

[6]  R. Misra A note on optimal inventory management under inflation , 1979 .

[7]  J. Buzacott Economic Order Quantities with Inflation , 1975 .

[8]  Lakdere Benkherouf,et al.  Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand , 1994 .

[9]  Manoranjan Maiti,et al.  Numerical Approach of Multi-Objective Optimal Control Problem in Imprecise Environment , 2005, Fuzzy Optim. Decis. Mak..

[10]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

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

[12]  Manoranjan Maiti,et al.  Fuzzy inventory model with two warehouses under possibility constraints , 2006, Fuzzy Sets Syst..

[13]  Rainer Kleber,et al.  Optimal control of production and remanufacturing in a simple recovery model with linear cost functions , 2001, OR Spectr..

[14]  R. Levin Production/Operations Management: Contemporary Policy for Managing Operating Systems , 1983 .

[15]  Manoranjan Maiti,et al.  A Fuzzy Inventory Model of Deteriorating Items with Stock-dependent Demand under Limited Storage Space , 1998 .

[16]  Donald E. Kirk,et al.  Optimal Control Theory , 1970 .

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

[18]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[19]  E. A. van deLaan,et al.  Production planning and inventory control with remanufacturing and disposal , 1997 .

[20]  Sumer C. Aggarwal A review of current inventory theory and its applications , 1974 .

[21]  Didier Dubois,et al.  Ranking fuzzy numbers in the setting of possibility theory , 1983, Inf. Sci..

[22]  Manoranjan Maiti,et al.  Production , Manufacturing and Logistics Possibility and necessity constraints and their defuzzification — A multi-item production-inventory scenario via optimal control theory , 2006 .

[23]  Przemyslaw Grzegorzewski,et al.  Nearest interval approximation of a fuzzy number , 2002, Fuzzy Sets Syst..

[24]  Baoding Liu,et al.  A note on chance constrained programming with fuzzy coefficients , 1998, Fuzzy Sets Syst..