CONTINUOUS REVIEW INVENTORY MODELS UNDER TIME VALUE OF MONEY AND CRASHABLE LEAD TIME CONSIDERATION

A stock is an asset if it can react to economic and seasonal influences in the management of the current assets. The financial manager must calculate the input of funds to the stock intelligently and the amount of money cycled through stocks, taking into account the time factors in the future. The purpose of this paper is to propose an inventory model considering issues of crash cost and current value. The sensitivity analysis of each parameter, in this research, differs from the traditional approach. We utilize a course of deduction with sound mathematics to develop several lemmas and one theorem to estimate optimal solutions. This study first tries to find the optimal order quantity at all lengths of lead time with components crashed at their minimum duration. Second, a simple method to locate the optimal solution unlike traditional sensitivity analysis is developed. Finally, some numerical examples are given to illustrate all lemmas and the theorem in the solution algorithm.

[1]  J Wijngaard,et al.  Decision systems for inventory management and production planning: Rein Peterson and Edward A. Silver Wiley, New York, 1979, xiv + 799 pages, £12.75 , 1981 .

[2]  Ram Rachamadugu.  Error bounds for EOQ , 1988 .

[3]  I. Moon,et al.  A NOTE ON EVALUATING INVESTMENTS IN INVENTORY SYSTEMS: A NET PRESENT VALUE FRAMEWORK , 1993 .

[4]  I. Moon,et al.  AN ECONOMIC ORDER QUANTITY MODEL WITH A RANDOM PLANNING HORIZON , 1993 .

[5]  S. Aggarwal,et al.  Credit financing in economic ordering policies of deteriorating items , 1994 .

[6]  A. Goswami,et al.  An EOQ Model for Deteriorating Items with Linear Time-dependent Demand Rate and Shortages under Inflation and Time Discounting , 1995 .

[7]  M. Hariga.  Effects of inflation and time-value of money on an inventory model with time-dependent demand rate and shortages , 1995 .

[8]  L. Ouyang,et al.  Mixture Inventory Model with Backorders and Lost Sales for Variable Lead Time , 1996 .

[9]  Ilkyeong Moon,et al.  The effects of inflation and time-value of money on an economic order quantity model with a random product life cycle , 2000, Eur. J. Oper. Res..

[10]  Kun-Jen Chung,et al.  Inventory systems for deteriorating items with shortages and a linear trend in demand-taking account of time value , 2001, Comput. Oper. Res..

[11]  H. Wee,et al.  Replenishment and pricing policy for deteriorating items taking into account the time-value of money , 2001 .

[12]  Maurice Queyranne,et al.  Production and Inventory Model Using Net Present Value , 2002, Oper. Res..

[13]  Zaid T. Balkhi,et al.  An optimal solution of a general lot size inventory model with deteriorated and imperfect products, taking into account inflation and time value of money , 2004, Int. J. Syst. Sci..

[14]  Bibhas Chandra Giri,et al.  Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting , 2005, Eur. J. Oper. Res..

[15]  Nita H. Shah.  Inventory model for deteriorating items and time value of money for a finite time horizon under the permissible delay in payments , 2006, Int. J. Syst. Sci..

[16]  Shyamal Kumar Mondal,et al.  Two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money , 2008, Eur. J. Oper. Res..

[17]  Hui-Ming Wee,et al.  An inventory model for ameliorating and deteriorating items taking account of time value of money and finite planning horizon , 2008, Int. J. Syst. Sci..

[18]  L. Ji.  Research on Inventory Model for Non-Instantaneous Deteriorating Items Taking into Account Time Value of Money , 2010, 2010 International Conference on Internet Technology and Applications.

[19]  Manas Kumar Maiti,et al.  A fuzzy genetic algorithm with varying population size to solve an inventory model with credit-linked promotional demand in an imprecise planning horizon , 2011, Eur. J. Oper. Res..

[20]  Yung-Fu Huang,et al.  An inventory model for deteriorating items with stock-dependent selling rate and partial backlogging under inflation , 2011 .

[21]  Samarjit Kar,et al.  Two-warehouse production model for deteriorating inventory items with stock-dependent demand under inflation over a random planning horizon , 2012, Central Eur. J. Oper. Res..