A piecewise nonlinear model for a production system under maintenance, trade credit and limited warehouse space

References

• Balkhi, Z. T.. 2011. “Optimal Economic Ordering Policy with Deteriorating Items Under Different Supplier Trade Credits for Finite Horizon Case.” International Journal of Production Economics 133 (1): 216–223.
   Web of Science ®Google Scholar
• Chang, C. T., J. T. Teng, and M. S. Chern. 2010. “Optimal manufacturer’s Replenishment Policies for Deteriorating Items in a Supply Chain with Up-stream and Down-stream Trade Credits.” International Journal of Production Economics 127 (1): 197–202.
   Web of Science ®Google Scholar
• Chung, K. J., and Y. F. Huang. 2003. “The Optimal Cycle Time for EPQ Inventory Model Under Permissible Delay in Payments.” International Journal of Production Economics 84: 307–318.
   Web of Science ®Google Scholar
• Chung, K. J., and Y. F. Huang. 2006. “Retailer’s Optimal Cycle times in the EOQ Model with Imperfect Quality and a Permissible Credit Period.” Quality and Quantity 40: 59–77.
   Web of Science ®Google Scholar
• Goyal, S. K. 1985. “Economics Order Quantity Under Conditions of Permissible Delay in Payments.” Journal of the Operational Research Society 36: 335–338.
   Web of Science ®Google Scholar
• Huang, Y. F. 2003. “Optimal Retailer’s Ordering Policies in the EOQ Model Under Trade Credit Financing.” Journal of the Operational Research Society 54: 1011–1015.
   Web of Science ®Google Scholar
• Huang, Y. F. 2006. “An Inventory Model Under Two Levels of Trade Credit and Limited Storage Space Derived Without Derivatives.” Apply Mathematical Modelling 30: 418–436.
   Web of Science ®Google Scholar
• Huang, Y. F. 2007. “Optimal Retailer’s Replenishment Decisions in the EPQ Model Under Two Levels of Trade Credit Policy.” European Journal of Operational Research 176: 1577–1591.
   Web of Science ®Google Scholar
• Huang, Y. F., and K. J. Chung. 2003. “Optimal Replenishment and Payment Policies in the EOQ Model Under Cash Discount and Trade Credit.” Asia-Pacific Journal of TheOperational Research 20: 177–190.
   Web of Science ®Google Scholar
• Liao, J. J. 2008. “An EOQ Model with Noninstantaneous Receipt and Exponentially Deteriorating Items under Two-level Trade Credit.” International Journal of Production Economics 113: 852–861.
   Web of Science ®Google Scholar
• Ouyang, L. Y., C. T. Chang, and J. T. Teng. 2005. “An EOQ Model for Deteriorating Items Under Trade Credits.” Journal of the Operational Research Society 56: 719–726.
   Web of Science ®Google Scholar
• Ouyang, L. Y., C. T. Chang, and J. T. Teng. 2006. “An Study on an Inventory Model for Non-instantaneous Deteriorating Item with Permissible Delay in Payments.” Computers and Industrial Engineering 51: 637–651.
   Web of Science ®Google Scholar
• Ouyang, L. Y., C. H. Ho, and C. H. Su. 2008. “Optimal Strategy for an Integrated System with Variable Production Rate When the Freight Rate and Trade Credit Are Both Linked to the Order Quantity.” International Journal of Production Economics 115: 151–162.
   Web of Science ®Google Scholar
• Ouyang, L. Y., J. T. Teng, S. K. Goyal, and C. T. Yang. 2009. “An Economic Order Quantity Model for Deteriorating Items with Partially Permissible Delay in Payments Linked to Order Quantity.” European Journal of Operational Research 194: 418–431.
   Web of Science ®Google Scholar
• Pan, E., Y. Jin, S. Wang, and T. Cang. 2012. “An Integrated EPQ Model Based on a Control Chart for an Imperfect Production Process.” International Journal of Production Research 50: 6999–7011.
   Web of Science ®Google Scholar
• Pal, B., S. S. Sana, and K. Chaudhuri. 2012a. “A Three Layer Multi-item Production–Inventory Model for Multiple Suppliers and Retailers.” Economic Modelling 29: 2704–2710.
   Web of Science ®Google Scholar
• Pal, B., S. S. Sana, and K. Chaudhuri. 2012b. “A Multi-Echelon Supply Chain Model for Reworkable Items in Multiple-markets with Supply Disruption.” Economic Modelling 29: 1891–1898.
   Web of Science ®Google Scholar
• Pal, B., S. S. Sana, and K. Chaudhuri. 2012c. “Three-layer Supply Chain – A Production-inventory Model for Reworkable Items.” Applied Mathematics and Computation 219: 530–543.
   Web of Science ®Google Scholar
• Pal, B., S. S. Sana, and K. Chaudhuri. 2013a. “Three Stage Trade Credit Policy in a Three-layer Supply Chain – A Production-inventory Model.” International Journal of Systems Science. doi:101080/002077212012757383.
   Google Scholar
• Pal, B., S. S. Sana, and K. Chaudhuri. 2013b. “A Mathematical Model on EPQ for Stochastic Demand in an Imperfect Production System.” Journal of Manufacturing Systems 32: 260–270.
   Web of Science ®Google Scholar
• Pal, B., S. S. Sana, and K. Chaudhuri. 2013c. “Maximising Profits for an EPQ Model with Unreliable Machine and Rework of Random Defective Items.” International Journal of Systems Science 44: 582–594.
   Web of Science ®Google Scholar
• Porteus, E. L. 1986. “Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction.” Operations Research 34: 137–144.
   Web of Science ®Google Scholar
• Rosenblatt, M. J., and H. L. Lee. 1986. “Economic Production Cycle with Imperfect Production Process.” IIE Transactions 18: 48–55.
   Web of Science ®Google Scholar
• Roy, M. D., S. S. Sana, and K. Chaudhuri. 2011. “An Optimal Shipment Strategy for Imperfect Items in a Stock-out Situation.” Mathematical and Computer Modelling 54: 2528–2543.
   Web of Science ®Google Scholar
• Sana, S. S., and K. Chaudhuri. 2008. “A Deterministic EOQ Model with Delays in Payments and Price-discount Offers.” European Journal of Operational Research 184: 509–533.
   Web of Science ®Google Scholar
• Sana, S. S., and K. Chaudhuri. 2010. “An EMQ Model in an Imperfect Production Process.” International Journal of Systems Science 41: 635–646.
   Web of Science ®Google Scholar
• Sana, S. S. 2010a. “A Production-inventory Model in an Imperfect Production Process.” European Journal of Operational Research 200: 451–464.
   Web of Science ®Google Scholar
• Sana, S. S. 2010b. “An Economic Production Lot Size Model in an Imperfect Production System.” European Journal of Operational Research 201: 158–170.
   Web of Science ®Google Scholar
• Sana, S. S. 2011. “A Production-inventory Model of Imperfect Quality Products in a Three-layer Supply Chain.” Decision Support Systems 50: 539–547.
   Web of Science ®Google Scholar
• Sana, S. S. 2012a. “A Collaborating Inventory Model in a Supply Chain.” Economic Modelling 29: 2016–2023.
   Web of Science ®Google Scholar
• Sana, S. S. 2012b. “Preventive Maintenance and Optimal Buffer Inventory for Products Sold with Warranty in an Imperfect Production System.” International Journal of Production Research 50: 6763–6774.
   Web of Science ®Google Scholar
• Sana, S. S. 2012c. “An Economic Order Quantity Model for Nonconforming Quality Products.” Service Science 4: 331–348.
   Google Scholar
• Sana, S. S. 2013. “Optimal Contract Strategies for Two Stage Supply Chain.” Economic Modelling 30: 253–260.
   Web of Science ®Google Scholar
• Sarkar, B., S. S. Sana, and K. Chaudhuri. 2011. “An Imperfect Production Process for Time Varying Demand with Inflation and Time Value of Money – An EMQ Model.” Expert Systems with Applications 38: 13543–13548.
   Web of Science ®Google Scholar
• Sheen, G. J., and Y. C. Tsao. 2007. “Channel Coordination, Trade Credit and Quantity Discounts for Freight Cost.” Transportation Research Part E: Logistics and Transportation Review 43: 112–128.
   Web of Science ®Google Scholar
• Teng, J. T. 2002. “On the Economic Order Quantity Under Conditions of Permissible Delay in Payments.” Journal of the Operational Research Society 53: 915–918.
   Web of Science ®Google Scholar
• Teng, J. T., and C. T. Chang. 2009. “Optimal Manufacturer’s Replenishment Policies in the EPQ Model Under Two Levels of Trade Credit Policy.” European Journal of Operational Research 195: 358–363.
   Web of Science ®Google Scholar
• Teng, J. T., J. Chen, and S. K. Goyal. 2009. “A Comprehensive Note on: An Inventory Model under Two Levels of Trade Credit and Limited Storage Space Derived without Derivatives.” European Journal of Operational Research 33: 4388–4396.
   Google Scholar
• Tsao, Y. C. 2009. “Production and Payment Policies for an Imperfect Manufacturing System with Machine Maintenance and Credit Policies.” International Journal of Technology Management 48 (2): 240–257.
   Web of Science ®Google Scholar
• Tsao, Y. C. 2010. “Two-phase Pricing and Inventory Management for Deteriorating and Fashion Goods Under Trade Credit.” Mathematical Methods of Operations Research 72 (1): 107–127.
   Web of Science ®Google Scholar
• Tsao, Y. C., and G. J. Sheen. 2008. “Dynamic Pricing, Promotion and Replenishment Policies for a Deteriorating Item Under Permissible Delay in Payments.” Computers and Operations Research 35: 3562–3580.
   Web of Science ®Google Scholar
• Tsao, Y. C., and G. J. Sheen. 2012. “A Multi-item Supply Chain with Credit Period and Weight Freight Cost Discounts.” International Journal of Production Economics 135 (1): 106–115.
   Web of Science ®Google Scholar
• Tsao, Y. C., T. H. Chen, and Q. H. Zhang. 2013. “Effects of Maintenance Policy on an Imperfect Production System under Trade Credit.” International Journal of Production Research 51: 1549–1562.
   Web of Science ®Google Scholar
• Wee, H. M., W. T. Wang, and P. C. Yang. 2013. “A Production Quantity Model for Imperfect Quality Items with Shortage and Screening Constraint.” International Journal of Production Research 51 (6): 1869–1884.
   Web of Science ®Google Scholar
• Wee, H. M., and G. A. Widyadana. 2012. “Economic Production Quantity Models for Deteriorating Items with Rework and Stochastic Preventive Maintenance Time.” International Journal of Production Research 50 (11): 2940–2952.
   Web of Science ®Google Scholar