A note on lead time and distributional assumptions in continuous review inventory models
Computers and Operations Research
(Q,r,L) inventory model with defective items
Computers and Industrial Engineering
Theory and Practice of Uncertain Programming
Theory and Practice of Uncertain Programming
Optimization of fuzzy production inventory models
Information Sciences—Applications: An International Journal
Improved inventory models with service level and lead time
Computers and Operations Research
Fuzzy programming with recourse
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
A survey of credibility theory
Fuzzy Optimization and Decision Making
Random fuzzy EOQ model with imperfect quality items
Fuzzy Optimization and Decision Making
Fuzzy random renewal process and renewal reward process
Fuzzy Optimization and Decision Making
Fuzzy random chance-constrained programming
IEEE Transactions on Fuzzy Systems
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
Convergent results about the use of fuzzy simulation in fuzzy optimization problems
IEEE Transactions on Fuzzy Systems
A random fuzzy minimum spanning tree problem through a possibility-based value at risk model
Expert Systems with Applications: An International Journal
Random fuzzy multi-objective linear programming: Optimization of possibilistic value at risk (pVaR)
Expert Systems with Applications: An International Journal
Ergodic distribution for a fuzzy inventory model of type (s,S) with gamma distributed demands
Expert Systems with Applications: An International Journal
Hi-index | 12.06 |
Inventory control is an important field in supply chain management, and a great deal of research efforts have been devoted to it over past few decades. In previous researches, there are some assumptions like that the lead time is an incontrollable variable, and all the items replenished are of perfect quality, and so on. However, those assumptions may not be fit for the real environments, and the inventory control problem needs to be considered in a more comprehensive sense. The aims of this paper is to establish the mathematical model and propose an solving approach for the reorder point inventory problems with partial backordered and partial lost sale situation in fuzzy random environment. Specially, the paper investigates the mixture inventory control system in which the lead time demands in different cycles are independent and identically distributed (iid) random variables, and the defective rates of the arrived order lot in different cycles are also iid random variables. Moreover, the backorder rate, ordering cost, shortage penalty cost and marginal profit per unit in different cycles are iid fuzzy variables, respectively. Then based on the fuzzy random renewal reward theory, a mathematical formulation about the expected annual total cost is presented, and some useful properties are analyzed for establishing an efficient solution procedure. In order to calculate the expected value of fuzzy expression and search the optimal values of order quantity, reorder point and lead time, a fuzzy simulation algorithm and an iterative algorithm are designed, respectively. Finally, a numerical example is given to illustrate the procedure of searching the optimal solution.