tailieunhanh - A partial backlogging inventory model for non-instantaneous deteriorating items with stock-dependent consumption rate under
In this paper, we derive a partial backlogging inventory model for non-instantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensitivity analysis of the optimal solution with respect to system parameters is carried out. | Yugoslav Journal of Operations Research Volume 20 (2010), Number 1, 35-54 A PARTIAL BACKLOGGING INVENTORY MODEL FOR NON-INSTANTANEOUS DETERIORATING ITEMS WITH STOCK-DEPENDENT CONSUMPTION RATE UNDER INFLATION Horng Jinh CHANG Department of Business Administration, Asia University, Taichung, Taiwan, ROC Graduate Institute of Management Sciences, Tamkang University, Tamsui, Taiwan chj@ Wen Feng LIN Department of Aviation Mechanical Engineering, China University of Science and Technology, Taipei, Taiwan Graduate Institute of Management Sciences, Tamkang University, Tamsui, Taiwan linwen@ Received: June 2008 / Accepted: May 2010 Abstract: In this paper, we derive a partial backlogging inventory model for noninstantaneous deteriorating items with stock-dependent demand rate under inflation over a finite planning horizon. We propose a mathematical model and theorem to find minimum total relevant cost and optimal order quantity. Numerical examples are used to illustrate the developed model and the solution process. Finally, a sensitivity analysis of the optimal solution with respect to system parameters is carried out. Keywords: Partial backlogging, non-instantaneous deterioration, stock-dependent demand, inflation. 1. INTRODUCTION Deterioration is defined as decay, change, damage, spoilage or obsolescence that results in decreasing usefulness from its original purpose. Some kinds of inventory products (., vegetables, fruit, milk, and others) are subject to deterioration. Ghare and Schrader (1963) first established an economic order quantity model having a constant 36 H., J., Chang, W., F., Lin / A Partial Backlogging Inventory Model rate of deterioration and constant rate of demand over a finite planning horizon. Covert and Philip (1973) extended Ghare and Schrader’s constant deterioration rate to a twoparameter Weibull distribution. Dave and Patel (1981) discussed an inventory model for deteriorating items with
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