# American Institute of Mathematical Sciences

• Previous Article
Nonlinear dynamical systems of bio-dissimilation of glycerol to 1,3-propanediol and their optimal controls
• JIMO Home
• This Issue
• Next Article
A PTAS for the p-batch scheduling with pj = p to minimize total weighted completion time
July  2005, 1(3): 359-375. doi: 10.3934/jimo.2005.1.359

## Theoretical analysis and a search procedure for the joint replenishment problem with deteriorating products

 1 Department of Industrial Engineering and Enterprise Information, Tunghai University, P.O. Box 985, Tunghai University, Taichung City, Taiwan 407, Taiwan, Taiwan

Received  August 2004 Revised  March 2005 Published  July 2005

We investigate the Joint Replenishment Problem (JRP) with deteriorating products in this paper. Many researchers have been devoting their efforts to solve the JRP for some thirty years. Though, there exists no JRP model that considers deterioration cost incurred from obsolescence, damage, spoilage, evaporation, and decay that often happens in the real world. Our focus in this study is to conduct theoretical analysis on the mathematical model for the JRP with deteriorating products by exploring the optimality structure and deriving several interesting properties on the optimal objective curve. By utilizing our theoretical results, we propose a search procedure that can efficiently solve the optimal solution. Based on our numerical experiments, we show that the proposed algorithm provides significantly better replenishment strategy than the case in which the decision maker ignores the deteriorating factor.
Citation: Ming-Jong Yao, Yu-Chun Wang. Theoretical analysis and a search procedure for the joint replenishment problem with deteriorating products. Journal of Industrial & Management Optimization, 2005, 1 (3) : 359-375. doi: 10.3934/jimo.2005.1.359
 [1] Gaurav Nagpal, Udayan Chanda, Nitant Upasani. Inventory replenishment policies for two successive generations price-sensitive technology products. Journal of Industrial & Management Optimization, 2021  doi: 10.3934/jimo.2021036 [2] J. Frédéric Bonnans, Justina Gianatti, Francisco J. Silva. On the convergence of the Sakawa-Shindo algorithm in stochastic control. Mathematical Control & Related Fields, 2016, 6 (3) : 391-406. doi: 10.3934/mcrf.2016008 [3] Demetres D. Kouvatsos, Jumma S. Alanazi, Kevin Smith. A unified ME algorithm for arbitrary open QNMs with mixed blocking mechanisms. Numerical Algebra, Control & Optimization, 2011, 1 (4) : 781-816. doi: 10.3934/naco.2011.1.781 [4] Emma D'Aniello, Saber Elaydi. The structure of $\omega$-limit sets of asymptotically non-autonomous discrete dynamical systems. Discrete & Continuous Dynamical Systems - B, 2020, 25 (3) : 903-915. doi: 10.3934/dcdsb.2019195

2019 Impact Factor: 1.366