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Original Articles

A Markovian approach for multi-level multi-product multi-period capacitated lot-sizing problem with uncertainty in levels

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Pages 5330-5340 | Received 28 Jun 2016, Accepted 14 Mar 2017, Published online: 03 Apr 2017

References

  • Aloulou, M. A., A. Dolgui, and M. Y. Kovalyov. 2014. “A Bibliography of Non-deterministic Lot-sizing Models.” International Journal of Production Research 52 (8): 2293–2310.10.1080/00207543.2013.855336
  • Bowling, S. R., M. T. Khasawneh, S. Kaewkuekool, and B. R. Cho. 2004. “A Markovian Approach to Determining Optimum Process Target Levels for a Multi-stage Serial Production System.” European Journal of Operational Research 159 (3): 636–650.10.1016/S0377-2217(03)00429-6
  • Brandimarte, P. 2006. “Multi-item Capacitated Lot-sizing with Demand Uncertainty.” International Journal of Production Research 44 (15): 2997–3022.10.1080/00207540500435116
  • Cárdenas-Barrón, L. E., and G. Treviño-Garza. 2014. “An Optimal Solution to a Three Echelon Supply Chain Network with Multi-product and Multi-period.” Applied Mathematical Modelling 38 (5–6): 1911–1918.10.1016/j.apm.2013.09.010
  • Cárdenas-Barrón, L. E., G. Treviño-Garza, and H. M. Wee. 2012. “A Simple and Better Algorithm to Solve the Vendor Managed Inventory Control System of Multi-product Multi-constraint Economic Order Quantity Model.” Expert Systems with Applications 39 (3): 3888–3895.10.1016/j.eswa.2011.09.057
  • Cárdenas-Barrón, L. E., G. Treviño-Garza, G. A. Widyadana, and H. M. Wee. 2014. “A Constrained Multi-products EPQ Inventory Model with Discrete Delivery Order and Lot Size.” Applied Mathematics and Computation 230 (1): 359–370.10.1016/j.amc.2013.12.077
  • Cunha Neto, E., V. J. M. Ferreira Filho, and E. F. Arruda. 2015. “Stochastic Economic Lot Sizing and Scheduling Problem with Pitch Interval, Reorder Points and Flexible Sequence.” International Journal of Production Research 53 (19): 5948–5961.10.1080/00207543.2015.1033031
  • Foster, J. W., III, and A. Garcia-diaz. 1983. “Markovian Models for Investigating Failure and Repair Characteristics of Production Systems.” IIE Transactions 15 (3): 202–209.10.1080/05695558308974635
  • Gershwin, S. B., and O. Berman. 1981. “Analysis of Transfer Lines Consisting of Two Unreliable Machines with Random Processing times and Finite Storage Buffers.” AIIE Transactions 13 (1): 2–11.10.1080/05695558108974530
  • Hong, Y., and D. Seong. 1993. “The Analysis of an Unreliable Two-machine Production Line with Random Processing times.” European Journal of Operational Research 68 (2): 228–235.10.1016/0377-2217(93)90305-7
  • Kadadevaramath, R. S., J. C. H. Chen, B. L. Latha Shankar, and K. Rameshkumar. 2012. “Application of Particle Swarm Intelligence Algorithms in Supply Chain Network Architecture Optimization.” Expert Systems with Applications 39 (11): 10160–10176.10.1016/j.eswa.2012.02.116
  • Kemeny, J. G., and J. L. Snell. 1976. Finite Markov Chains. New York: Springer-Verlag.
  • Neidigh, R. O., and T. P. Harrison. 2017. “Optimising Lot Sizing with Nonlinear Production Rates in a Multi-product Multi-machine Environment.” International Journal of Production Research 55 (4): 939–959.10.1080/00207543.2016.1207820
  • Pillai, V. M., and M. P. Chandrasekharan. 2008. “An Absorbing Markov Chain Model for Production Systems with Rework and Scrapping.” Computers & Industrial Engineering 55 (3): 695–706.10.1016/j.cie.2008.02.009
  • Pitakaso, R., C. Almeder, K. F. Doerner, and R. F. Hartl. 2006. “Combining Population-based and Exact Methods for Multi-level Capacitated Lot-sizing Problems.” International Journal of Production Research 44 (22): 4755–4771.10.1080/00207540600620963
  • Rahmani, D., R. Ramezanian, P. Fattahi, and M. Heydari. 2013. “A Robust Optimization Model for Multi-product Two-stage Capacitated Production Planning under Uncertainty.” Applied Mathematical Modelling 37 (20–21): 8957–8971.10.1016/j.apm.2013.04.016
  • Ramya, R., C. Rajendran, and H. Ziegler. 2016. “Capacitated Lot-sizing Problem with Production Carry-over and Set-up Splitting: Mathematical Models.” International Journal of Production Research 54 (8): 2332–2344.10.1080/00207543.2015.1076942
  • Suliman, S. M. A. 2000. “A Mathematical Model for a Buffered Two-stage Manufacturing Cell with an Unreliable Transfer Device.” International Journal of Production Economics 63 (1): 69–81.10.1016/S0925-5273(99)00006-7
  • White, J. A. 1970. “On Absorbing Markov Chains and Optimum Batch Production Quantities.” AIIE Transactions 2: 82–88.10.1080/05695557008974735
  • Zhou, W.-Q., L. Chen, and H.-M. Ge. 2013. “A Multi-product Multi-echelon Inventory Control Model with Joint Replenishment Strategy.” Applied Mathematical Modelling 37 (4): 2039–2050.10.1016/j.apm.2012.04.054

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