Production and Maintenance Optimization Problems

Rezg Nidhal, Professor, LGIPM/UFR-MIM – University of Lorraine, Ile du Saulcy, - FRANCEHajej Zied, Associate professor, LGIPM/UFR-MIM – University of Lorraine, Ile du Saulcy, - FRANCEValerio Boschian-Campaner, Associate professor, LGIPM / IUT Metz – University of Lorraine, Ile du Saulcy, - FRANCE

• Introduction  ixChapter 1. Forecasting and Maintenance under Subcontracting Constraint with Delay in Transportation 11.1. Introduction  21.2. Production without retuned products 51.2.1. Statement of the problem  51.2.2. Notation  71.2.3. Optimization of production policy  81.2.4. Total production and inventory cost 101.2.5. Analytical study 111.2.6. Numerical example 151.3. Production with retuned products 201.3.1. Statement of the problem  201.3.2. Optimization of the production policy  211.3.3. Analytical formulation 221.3.4. Numerical example 281.3.5. Optimization of returned products by a specified deadline  311.4. Joint maintenance policy  351.4.1. Description of the problem 361.4.2. Analytical study 371.4.3. Numerical example 391.5. Conclusion 44Chapter 2. Sequentially Optimizing Production, Maintenance and Delivery Activities Taking into Account Product Returns 472.1. Introduction 472.2. Planning of production, delivery and maintenance  512.2.1. Notation  522.2.2. Context and assumptions  552.2.3. Setting the problem  572.2.4. Mathematical analysis  602.3. Transformation of the stochastic production, maintenance and delivery planning model to a deterministic equivalent  632.3.1. Motivation 642.3.2. Transforming the production, inventory and delivery cost (expression [2.11]) into a deterministic equivalent 642.3.3. Transforming the service level constraint (equation [2.5]) into a deterministic equivalent 652.3.4. Transforming the maintenance cost (expression [2.12]) into a deterministic equivalent 682.4. Numerical example and numerical optimization procedure 722.4.1. Numerical optimization procedure 722.4.2. Numerical example  742.4.3. Variability study of delivery time, returned products and service level  832.5. Conclusion 92Chapter 3. A Decision Optimization Model for Leased Manufacturing Equipment with Warranty for a Production–Maintenance Forecasting Problem  953.1. Introduction 953.2. Description of the problem  1003.2.1. Notation  1003.2.2. Statement of the problem  1013.3. Mathematical model  1033.3.1. Forecast production plan 1033.3.2. Maintenance policy  1053.3.3. Maximum additional cost for an extended warranty  1083.3.4. Minimum price at which to sell the extended warranty  1133.3.5. Win–win interval for the extended warranty cost  1153.4. Numerical example  1173.4.1. Variation in preventive maintenance and corrective maintenance costs 1213.4.2. Effects of variation in production period length Δt 1223.5. Conclusion  123Chapter 4. Global Control Policy Taking into Account Maintenance and Product Non-conformity 1254.1. Introduction 1254.2. Control strategy for stochastic multi-machine multi-product systems: analytical approach 1284.2.1. Notations  1294.2.2. Formulation of the cost optimization problem  1294.2.3. Complexity of the optimal control problem  1314.3. Description of the production system and the control strategy  1314.4. Simulation model  1334.4.1. Simulation principle  1334.4.2. Simulation algorithm 1344.5. Experimental analysis 1374.5.1. Principle of the analysis  1374.5.2. Determination and validation of the cost function  1384.5.3. Determination and validation of the availability function  1424.6. Finding the best compromise between cost, availability and quality: multi-criteria analysis 1454.7. Conclusion  150Appendices  153Appendix 1  155Appendix 2  159Appendix 3 169Bibliography  173Index 183