Mixture inventory model involving variable lead time and controllable backorder rate

A multi-item inventory system with expected shortage level-dependent backorder rate with working capital and space restrictions

“…Their studies are based upon this assumption, which the larger amount of the expected shortage at the end of cycle, the smaller amount of customer can wait and hence the smaller backorder rate would be. Ouyang and Chaung (2001) were first to introduce this assumption in their model and some other authors generalized this assumption in their models for backorder rate (Lee, 2005;Lee et al, 2007;Lee et al , 2006).…”

“…Ouyang and Chaung (2001) observed that many products of well-known brand and modish goods like certain brand gum shoes and clothes may lead to a state in which clients prefer their demands to be backordered, whereas shortage happened. Doubtlessly, if the amount of shortage exceeds the waiting patience of client, some clients avoid the backorder case.…”

Two-echelon supply chain inventory model with controllable lead time and service level constraint

“…Liao and Shyu (1991) first devised a probabilistic inventory model in which lead time was the unique decision variable. Later, several researchers (e.g., Ben-Daya & Raouf, 1994;Hariga & Ben-Daya, 1999;Lee, Wu, & Hou, 2004;Moon & Choi, 1998;Ouyang & Chuang, 2001) developed various analytical inventory models to explore the lead time reduction problem. Ouyang, Chen and Chang (2002) extended Moon and Choi's (1998) model to include the possible relationship between quality and lot size and then investigate the joint effects of quality improvement and setup cost reduction in the model.…”

A multi-item mixture inventory model involving random lead time and demand with budget constraint and surprise function

“…In this area, Ord and Bagchi [3], Burgin [4] consider Normal demand and Gamma lead time; Das [5] takes model Normal demand and exponential lead time and Carlson [6] assumes that demand is Poisson and lead time is Exponential. Recently, following Liao and Shyu [7] many authors such as Ben-Daya and Raouf [8], Ouyang et al [9], Ouyang and Chuang [10], Chu et al [11] Park [12], Eynan and Kropp [13] considered lead time as a variable and controlled it by paying extra crashing cost. Moreover, Gallego and Moon [14] give the idea for determining the expected amount of stockout quantity when the demand distribution is unknown but the mean and variance are known.…”