Remarks on the optimization method of a manufacturing system with stochastic breakdown and rework process in supply chain management

Abstract Chiu et al. (2010) [8] present the proof of convexity of the long-run average cost function E[TCU(t1)] for a manufacturing system with stochastic breakdown and rework process. This note not only demonstrates that E[TCU(t1)] is not convex but also adopts the rigorous methods of mathematics to develop the complete solution procedure to find the optimal solution for removing shortcomings of the above paper mentioned.

[1]  Singa Wang Chiu,et al.  Optimal replenishment policy for manufacturing systems with failure in rework, backlogging and random breakdown , 2009 .

[2]  Mordecai Avriel,et al.  Nonlinear programming , 1976 .

[3]  A. Seidmann,et al.  Production lot sizing with machine breakdowns , 1992 .

[4]  Yuan-Shyi Peter Chiu,et al.  Optimization of the finite production rate model with scrap, rework and stochastic machine breakdown , 2010, Comput. Math. Appl..

[5]  Ferhan Merdivenci Atici,et al.  A production-inventory model of HMMS on time scales , 2008, Appl. Math. Lett..

[6]  Singa Wang Chiu,et al.  Robust planning in optimization for production system subject to random machine breakdown and failure in rework , 2010, Comput. Oper. Res..

[7]  Hong-Dar Lin,et al.  Note on "replenishment run time problem with machine breakdown and failure in rework" , 2012, Expert Syst. Appl..

[8]  Yuan-Shyi Peter Chiu,et al.  Remarks on the optimization process of a manufacturing system with stochastic breakdown and rework , 2010, Appl. Math. Lett..

[9]  Singa Wang Chiu,et al.  An optimization problem of manufacturing systems with stochastic machine breakdown and rework process , 2008 .

[10]  Yuan-Shyi Peter Chiu,et al.  Replenishment run time problem with machine breakdown and failure in rework , 2012, Expert Syst. Appl..

[11]  David F. Pyke,et al.  Inventory management and production planning and scheduling , 1998 .

[12]  R. J. Tersine.  Principles of inventory and materials management , 1982 .

[13]  P. A. Hayek,et al.  Production lot sizing with the reworking of imperfect quality items produced , 2001 .