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Developing a New Reformulation of Single Level Capacitated Lot Sizing Problem (SLCLSP) with Set up, Shortage and Inventory Costs

DOI: 10.4236/ajor.2017.75019, PP. 272-281

Keywords: Reformulation of SLCLSP

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Abstract:

Formulation of SLCLSP given by Pochet and Wolsey [1] had set up, variables, inventory and shortage cost. We give a new reformulation where SLCLSP is reduced to set up and inventory variables. We find that this reformulation has less number of real variables than the reformulation of Pochet and Wolsey [1]. It is argued that this leads to computations advantages, and this is supported by the empirical investigation that we carried out.

References

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https://doi.org/10.1287/mnsc.37.1.53
[2]  Mayank, V. (2012) Capacitated Lot Sizing with Back Orders in Multilevel Situations. Ph.D. Thesis, Indian Institute of Technology, Kanpur.
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[4]  Mayank, V. and Sharma, R.R.K. (2010) A New Lagrangian Relaxation Based Approach to solve Capacitated Lot-Sizing Problem with Backlogging. Global Business and Management Research, Universal-Publishers, Boca Raton, Vol. 2, 285-295.
[5]  Mayank, V. and Sharma, R.R.K. (2015) Lagrangian Based Approach to Solve a Two Level Capacitated Lot Sizing Problem. Cogent Engineering, 2, 108861.
[6]  Miller, A.J., Nemhauser, G.L. and Savelsbergh, M.W.P (2000) On the Capacitated Lot Sizing and Continuous 0-1 Knapsack Polyhedral. European Journal of operational Research, 125, 298-315.
https://doi.org/10.1016/S0377-2217(99)00461-0
[7]  Kumar, V. (2012) Equal Distribution of Shortages in Supply Chain of Food Corporation of India: Using Lagrangian Relaxation Methodology. M. Tech Dissertation, Indian Institute of Technology, Kanpur. (Unpublished)

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