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A Fuzzy Ranking Approach for a Two-Warehouse Inventory Model for Deteriorating Items with Ramp Type Demand


Affiliations
1 Dr. B.C. Roy Engineering College, Durgapur, India
2 Durgapur Women's College, Durgapur, India
     

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In general, inventory models consider unlimited capacity of warehouses. But in real inventory situations, the capacities of warehouses are limited. So in such cases, to deal with unlimited stocks, one requires additional warehouses. Here a two-warehouse inventory model has been developed for deteriorating items with ramp type demand. Also a corresponding fuzzy model has been developed by considering inventory costs (holding cost, setup cost) and deterioration cost. Subsequently the model has been solved by fuzzy ranking based approach. In both crisp and fuzzy cases, models are being numerically illustrated through examples through a gradient based nonlinear optimization technique (LINGO). Moreover, some sensitivity analysis has been done by taking into consideration the deterioration rate and cost parameters.

Keywords

Inventory, Two Warehouse System, Deteriorating Items, Ramp Type Demand, Fuzzy Ranking.
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  • Hartley, R.V., Operations Research-A Managerial Emphasis, Good Year Publishing Company, California, pp. 315-317, 1976.
  • Sharma, K.V.S., A deterministic order-level-inventory model for deteriorating items with two storage facilities, European Journal of Operational Research, Vol. 29, pp.70-72, 1987.
  • Goswami, A. and Chaudhuri, K.S., An economic order quantity model for items with two levels of storage for a liner trend in demand, Journal of the Operational Research Society, Vol. 43, No.2, pp.157-167, 1992.
  • Pakkala, T.P.M. and Acharya, K.K., Discrete time inventory model for deteriorating items with two storage facilities, European Journal of Operational Research, Vol. 29, pp.90-103, 1992.
  • Benkherouf, L., A deterministic order level inventory model for deteriorating items with two storage facilities, International Journal of Production Economics, Vol. 48, No.2, pp.167-175, 1997.
  • Yang, H.L., Two-warehouse partial backlogging inventory models for deteriorating items under inflation, International Journal of Production Economics, Vol. 103, pp.362-370, 2006.
  • Lee, C.C. and Hsu, S.L., A two warehouse production model for deteriorating inventory items with time-dependent demands, European Journal of Operational Research, Vol. 194, pp.700-710, 2009.
  • Yang, H.L. and Chang, C.T., A two warehouse partial backlogging inventory model for deteriorating items with permissible delay in payment under inflation, Applied Mathematical Modelling, Vol. 37, pp.2717-2726, 2013.
  • Dey, J.K., Mondal, S.K. and Maiti, M., Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money, European Journal of Operational Research, Vol. 185, No.1, pp.170-194, 2008.
  • Hill, R.M., Inventory model for increasing demand follows by level demand, Journal of the Operational Research Society, Vol. 46, pp.1250-1259, 1995.
  • Mandal, B. and Pal, A.K., Order level inventory system with ramp type demand rate for deteriorating items, Journal of Interdisciplinary Mathematics, Vol. 1, pp. 49-66, 1998.
  • Wu, J.-W., Lin, C., Tan, B. and Lee, W.-C., An EOQ inventory model with ramp type demand rate for items with Weibull deterioration, Information and Management Science, Vol. 10, No.3, pp.41-51,1999.
  • Wu, K.-S., An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging, Production Planning and Control, Vol. 12, No.8, pp.787-793, 2001.
  • Skouri, K., Konstantaras, I., Papachristos, S. and Ganas, I., Inventory models with ramp type demand rate, partial backlogging deteriorating and Weibull deterioration rate, European Journal of Operational Research, Vol. 192, pp.79-92, 2009.
  • Wu, K.S. and Ouyang, L.Y., A replenishment policy for deteriorating items with ramp type demand rate, Proceedings of the National Science Council, Republic of China, Vol. 24, No.4, pp.279-286, 2000.
  • Skouri, K. and Konstantaras, I., Order level inventory models for deteriorating seasonable/fashionable products with time dependent demand and shortages, Hindawi Publishing Corporation Mathematical Problems in Engineering, article ID 679736, 2009.
  • Yang, H.L., Two warehouse partial backlogging inventory models with three parameter Weibell distribution deterioration under inflation, International Journal of Production Economics, Vol. 138, pp.107-116, 2012.
  • Das, S. and Kar, S., Group decision making in medical system: An intuitionistic fuzzy soft set approach, Applied Soft Computing, Vol. 24, pp.196-211, 2014.
  • Das, S., Kumari, P. and Verma, A.K., Triangular fuzzy soft set and its application in MADM, International Journal of Computational Systems Engineering, Vol. 2, No.2, pp.85-93, 2015.
  • Kar, S., Bhunia, A.K. and Maiti, M., Deterministic inventory model with two levels of storage, a linear trend in demand and a fixed time horizon, Computers & Operations Research, Vol. 28, pp.1315-1331, 2001.
  • Bhunia, A.K., Maiti, M., A two warehouse inventory model for a liner trend in demand, Opsearch, Vol. 31, pp.318-329, 1994.
  • Bhunia, A.K., Maiti, M., Two warehouse inventory model for deteriorating items with a linear trend in demand and shortages, Journal of the Operational Research Society, Vol. 49, pp.287-292, 1998.
  • Das, D., Kar, M.B., Roy, A. and Kar, S., Two warehouse production model for deteriorating inventory items with stock dependent demand under inflation over a random planning horizon, Central European Journal of Operations Research, Vol. 20, pp.251-280, 2012.
  • Das, D., Kar, M.B., Roy, A. and Kar, S., Two warehouse production inventory model for a deteriorating item with time-varying demand and shortages: a genetic algorithm with varying population size approach, Optimization and Engineering, Vol. 15, No.4, pp.889-907, 2014.
  • Shah, N.H., Inventory model for deteriorating items and time value of money for a finite time horizon under the permissible delay in payments, International Journal of Systems Science, Vol. 37, pp.9-15, 2006.

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  • A Fuzzy Ranking Approach for a Two-Warehouse Inventory Model for Deteriorating Items with Ramp Type Demand

Abstract Views: 985  |  PDF Views: 4

Authors

Avijit De
Dr. B.C. Roy Engineering College, Durgapur, India
Amitava Ghosh
Durgapur Women's College, Durgapur, India
Sujit Das
Dr. B.C. Roy Engineering College, Durgapur, India

Abstract


In general, inventory models consider unlimited capacity of warehouses. But in real inventory situations, the capacities of warehouses are limited. So in such cases, to deal with unlimited stocks, one requires additional warehouses. Here a two-warehouse inventory model has been developed for deteriorating items with ramp type demand. Also a corresponding fuzzy model has been developed by considering inventory costs (holding cost, setup cost) and deterioration cost. Subsequently the model has been solved by fuzzy ranking based approach. In both crisp and fuzzy cases, models are being numerically illustrated through examples through a gradient based nonlinear optimization technique (LINGO). Moreover, some sensitivity analysis has been done by taking into consideration the deterioration rate and cost parameters.

Keywords


Inventory, Two Warehouse System, Deteriorating Items, Ramp Type Demand, Fuzzy Ranking.

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DOI: https://doi.org/10.22485/jaei%2F2017%2Fv87%2Fi1-2%2F158489