ICTACT Journal on Soft Computing

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Two Warehouses Production Inventory Model for Deteriorating Items with Stock-dependent Demand under Preservation Technology Using Modified Genetic Algorithm


Affiliations
1 Department of Mathematics, Ramananda Centenary College, India
     

   Subscribe/Renew Journal


This paper considers two warehouses production inventory model for deteriorating items with stock-dependent demand and completely backlogged shortages under preservation technology. For display and storage of inventory, one warehouse of finite capacity is located at the main market, called primary warehouse (PW) and another warehouse with large capacity at a small distance from the main market, called secondary warehouse (SW). Here we consider items are transported from SW to PW in continuous release pattern and the transportation cost is negligible. The aim of this study is to obtain the optimal cycle length for maximum average profit through a modified genetic algorithm (MGA). Finally the model is illustrated using a numerical example. A sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.

Keywords

Inventory, Primary Warehouse, Secondary Warehouse, Preservation Technology, Modified Genetic Algorithm.
Subscription Login to verify subscription
User
Notifications
Font Size

  • J.T. Teng, L.Y. Ouyang and M.C. Cheng, “An EOQ Model for Deteriorating Items with Power-Form Stock-Dependent Demand”, Information and Management Sciences, Vol. 16, No. 1, pp. 1-16, 2005.

  • D. Das, A. Roy and S. Kar, “Improving Production Policy for a Deteriorating Item under Permissible Delay in Payments with Stock-Dependent Demand Rate”, Computers and Mathematics with Applications, Vol. 60, pp. 1973-1985, 2010.

  • B.C. Giri, S. Pal, A. Goswami and K.S. Chaudhuri, “An Inventory Model for Deteriorating Items with Stock Dependent Demand Rate”, European Journal of Operational Research, Vol. 95, pp. 604-610, 1996.

  • K.L. Hou, “An Inventory Model for Deteriorating Items with Stock-Dependent Consumption Rate and Shortages under Inflation and Time Discounting”, European Journal on Operational Research, Vol. 168, pp. 463-474, 2006.

  • A. Roy, S. Pal and M.K. Maiti, “A Production Inventory Model with Stock Dependent Demand Incorporating Learning and Inflationary Effect in a Random Planning Horizon: A Fuzzy Genetic Algorithm with Varying Population Size Approach”, Computers and Industrial Engineering, Vol. 57, pp. 1324-1335, 2009.

  • M.B. Kar, S. Bera, D. Das and S. Kar, “A Production-Inventory Model with Permissible Delay Incorporating Learning Effect in Random Planning Horizon using Genetic Algorithm”, Journal of Industrial Engineering International, Vol. 11, pp. 555-574, 2015.

  • R.V. Hartley, “Operations Research-A Managerial Emphasis”, Good Year Publishing Company, 1976.

  • T.P.M. Pakkala and A.K. Achary, “A Deterministic Inventory Model for Deteriorating Items with two warehousess and Finite Replenishment Rate”, European Journal of Operational Research, Vol. 57, pp. 71-76, 1992.

  • A.K. Bhunia and M. Maiti, “A Two warehouses Inventory Model for Deteriorating Items A Linear Trend in Demand and Shortages”, Journal of Operational Research Society, Vol. 49, pp. 287-292, 1998.

  • T.P.M. Pakkala and K.K. Achary, “Discrete Time Inventory Model for Deteriorating Items with Two warehousess”, Opsearch, Vol. 29, pp. 90-103, 1992.

  • S. Kar, A.K. Bhunia and M. Maiti, “Deterministic Inventory Model with Two-Levels of Storage, A Linear Trend in Demand and a Fixed Time Horizon”, Computers and Operational Research, Vol. 28, pp. 1315-1331, 2001.

  • D. Das, M.B. Kar, A. Roy and S. Kar, “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, No. 2, pp. 251-280, 2012.

  • S.K. Goyal and A. Gunasekaran, “An Integrated Production-Inventory-Marketing Model for Deteriorating Items”, Computers and Industrial Engineering, Vol. 28, pp. 755-762, 1995.

  • P.M. Ghare and G.H. Schrader, “A Model for an Exponentially Decaying Inventory”, Journal of Industrial Engineering, Vol. 14, No. 5, pp. 238-243, 1963.

  • R.S. Sachan, “(T,Si) Policy Inventory Model for Deteriorating Items with Time Propotional Demand”, The Journal of the Operational Research Society, Vol. 35, pp. 1013-1019, 1984.

  • U. Dave and L.K. Patel, “(T,Si) Policy Inventory Model for Deteriorating Items with Time Propotional Demand”, Journal of Operation Research Society, Vol. 32, pp. 137-142, 1981.

  • K.V.S. Sarma, “A Deterministic Order-Level Inventory Model for Deteriorating Items with Two Storage Facilities”, European Journal of Operational Research, Vol. 29, pp. 70-72, 1987

  • L. Benkherouf, “A Deterministic Order Level Inventory Model for Deteriorating Items with Two Storage Facilities”, International Journal of Production Economics, Vol. 48, pp.167-175, 1997.

  • H.L. Yang, “Two-Warehouse Inventory Models for Deteriorating Items with Shortages Under Inflation”, European Journal of Operational Research, Vol. 157, pp. 344-356, 2004.

  • Y.P. Lee and C.Y. Dye, “An Inventory Model for Deteriorating Items under Stock-Dependent Demand and Controllable Deterioration Rate”, Computers and Industrial Engineering, Vol. 63, pp. 474-482, 2012.

  • T. Singh and H.P. Pattnayak, “An EOQ Model for Deteriorating Items with Linear Demand, Variable Deterioration and Partial Backlogging”, Journal of Service Science and Management, Vol. 6, No. 2, pp. 186-190, 2013. [22] P. Hsu, H. Wee and H. Teng, “Preservation Technology Investment for Deteriorating Inventory”, International Journal of production Economics, Vol. 124, No. 2, pp. 388-394, 2010.

  • C.Y. Dye and T.P. Hsieh, “An Optimal Replenishment Policy for Deteriorating Items with Effective Investment in Preservation Technology”, European Journal of Operational Research, Vol. 218, No. 1, pp. 106-112, 2012.

  • C.Y. Dye, “The Effect of Preservation Technology Investment on a Non-Instantaneous Deteriorating Inventory Model”, Omega, Vol. 41, pp. 873-880, 2013.

  • D. Das and T. Jana, “An EPQ Model for a Deteriorating Item using Preservation Technology under Stock-Dependent Demand Rate”, International Journal of Research and Analytical Reviews, Vol. 6, No. 2, pp. 281-292, 2019.

  • D. Das, “Production Inventory Model for a Deteriorating Item using Preservation Technology under Permissible Delay in Payment”, International Journal of Research and Analytical Reviews, Vol. 6, No. 2, pp. 369-382, 2019.


Abstract Views: 47

PDF Views: 1




  • Two Warehouses Production Inventory Model for Deteriorating Items with Stock-dependent Demand under Preservation Technology Using Modified Genetic Algorithm

Abstract Views: 47  |  PDF Views: 1

Authors

Debasis Das
Department of Mathematics, Ramananda Centenary College, India

Abstract


This paper considers two warehouses production inventory model for deteriorating items with stock-dependent demand and completely backlogged shortages under preservation technology. For display and storage of inventory, one warehouse of finite capacity is located at the main market, called primary warehouse (PW) and another warehouse with large capacity at a small distance from the main market, called secondary warehouse (SW). Here we consider items are transported from SW to PW in continuous release pattern and the transportation cost is negligible. The aim of this study is to obtain the optimal cycle length for maximum average profit through a modified genetic algorithm (MGA). Finally the model is illustrated using a numerical example. A sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.

Keywords


Inventory, Primary Warehouse, Secondary Warehouse, Preservation Technology, Modified Genetic Algorithm.

References