Note on inventory model with a mixture of back orders and lost sales

2004 ◽  
Vol 159 (2) ◽  
pp. 470-475 ◽  
Author(s):  
Peter Chu ◽  
Kuo-Lung Yang ◽  
Shing-Ko Liang ◽  
Thomas Niu
Keyword(s):  
Inventory Model ◽  
Lost Sales

Analytic inventory model with a mixture of back orders and lost sales

2005 ◽  
Vol 26 (2) ◽  
pp. 247-259
Author(s):  
Chih-Young Hung ◽  
Titus Tang ◽  
Daisy,M.H. Huang ◽  
Peter Shaohua Deng ◽  
Robert Huang-Jing Lin ◽  
...  
Keyword(s):  
Inventory Model ◽  
Lost Sales

scholarly journals On the (S ? 1,S) lost sales inventory model with priority demand classes

2002 ◽  
Vol 49 (6) ◽  
pp. 593-610 ◽  
Author(s):  
R. Dekker ◽  
R.M. Hill ◽  
M.J. Kleijn ◽  
R.H. Teunter
Keyword(s):  
Inventory Model ◽  
Lost Sales ◽  
Demand Classes

A Variant of L♮-Convexity and its Application to Inventory Models with Batch Ordering

2014 ◽  
Vol 31 (06) ◽  
pp. 1450042 ◽  
Author(s):  
Zhiyuan Chen ◽  
Yanchu Liu ◽  
Yi Yang ◽  
Yun Zhou
Keyword(s):  
Operations Research ◽  
General Concept ◽  
Inventory Model ◽  
Inventory Systems ◽  
Lost Sales ◽  
Pricing Model ◽  
Inventory Models ◽  
Optimal Decisions ◽  
Batch Ordering ◽  
System States

Previous studies show that the concept of L♮-convexity is helpful in characterizing the optimal policy for some inventory models with positive leadtimes. Such examples include the lost-sales inventory model by Zipkin (2008). On the structure of lost-sales inventory models. Operations Research, 56(4) 937–944. and the inventory-pricing model by Pang et al. (2012). A note on the structure of joint inventory-pricing control with leadtimes. Operations Research, 60(3), 581–587. However, when taking batch ordering into account, L♮-convexity does not work anymore. In this paper, we extend L♮-convexity to a more general concept termed as Q-jump-L♮-convexity and apply it to batch ordering inventory models including a lost-sales inventory model and an inventory-pricing model with batch ordering and positive leadtimes. By utilizing this new concept, we can partially characterize the structure of the optimal policies for both the models. Moreover, we are able to evaluate the sensitivity of the optimal decisions with respect to system states. Our results can also be applied to the serial and the assembly inventory systems with lost-sales and batch ordering.

Sign in / Sign up

Export Citation Format

Share Document