A Deteriorating Production inventory Problem with Space Restriction

Abstract With today's high competitive market, to afford the cost of warehouses is a very difficult task for the management in most of the countries. Managers are faced with the need to deliver a high level of service with minimal warehouse and inventory cost. Since a large ordered quantity increases the workforce of a warehouse. So it is necessary to develop tools which can help managers to handle warehouse to avoid the extra cost of handling. So it is economical to order the inventory according to available storage space. This problem is developed with the concept of space restriction in which demand is exponential, and deterioration is time dependent. Production is taken as a function of demand. The optimal cycle time is derived and the result is applied to numerical problems.

[1]  Rajendra Kumar Sharma,et al.  Two echelon supply chain model for deteriorating items with effective investment in preservation technology , 2014, Int. J. Math. Oper. Res..

[2]  S. Singh,et al.  Multi Item Inventory Model for Deteriorating Items with Expiration Date and Allowable Shortages , 2014 .

[3]  Zhiguang Zhang.  An Integrated Inventory Model for Vendor and Buyer , 2010 .

[4]  Peter L. Jackson,et al.  Time variant lot sizing models for the warehouse scheduling problem , 1995 .

[5]  Dirk Beyer,et al.  Stochastic Multiproduct Inventory Models with Limited Storage , 2001 .

[6]  A. Goswami,et al.  An EOQ Model for Deteriorating Items with Shortages and a Linear Trend in Demand , 1991 .

[7]  E. Silver,et al.  Multi-product batch replenishment strategies under stochastic demand and a joint capacity constraint , 2005 .

[8]  P. M. Ghare.  A model for an exponentially decaying inventory , 1963 .

[9]  Neeraj Kumar,et al.  An Inventory Model with Time-Dependent Demand and Limited Storage Facility under Inflation , 2012, Adv. Oper. Res..

[10]  Manoranjan Maiti,et al.  Inventory of multi-deteriorating items sold from two shops under single management with constraints on space and investment , 2001, Comput. Oper. Res..

[11]  Manoranjan Maiti,et al.  Optimal partial backordering two-storage inventory model for deteriorating items with variable demand , 2013 .

[12]  Cengiz Haksever,et al.  A model for optimizing multi-product inventory systems with multiple constraints , 2005 .

[13]  Liang-Yuh Ouyang,et al.  Lead time and ordering cost reductions in continuous review inventory systems with partial backorders , 1999, J. Oper. Res. Soc..

[14]  L. Ouyang,et al.  An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging , 2006 .

[15]  Rasoul Haji,et al.  A multi-product continuous review inventory system with stochastic demand, backorders, and a budget constraint , 2004, Eur. J. Oper. Res..

[16]  Mark T. Leung,et al.  Stocking policy in a two-party vendor managed channel with space restrictions , 2009 .

[17]  Moncer Hariga,et al.  A single-item continuous review inventory problem with space restriction , 2010 .

[18]  K. Forghani,et al.  A Price-Dependent Demand Model in the Single Period Inventory System with Price Adjustment , 2013 .