Purpose: Managing the inventory of spare parts is very difficult because stochastic nature part’s demand. Also, only controlling part not enough; instead, supply chain needs to be managed efficiently. Moreover, every organization now aims have a resilient and sustainable overcome risk facility disruption ensure environmental sustainability. This paper thus establish model inventory-location rel...

in the fundamental production inventory model, in order to solve the economic production quantity (epq) we always fix both the demand quantity and the production quantity per day. but, in the real situation, both of them probably will have little disturbances every day. therefore, we should fuzzify both of them to solve the economic production quantity (q*) per cycle. using α-cut for defuzzific...

In this work we developed EPQ models for deteriorating items by considering stochastic machine unavailability and price-dependent demand. Moreover, we approach the distribution of the machine unavailability using kernel density estimation. Therefore, the assumption of any distribution models, such as uniformly or exponentially distribution can be neglected and the shape of the distribution will...

The classical Economic Order Quantity (EPQ) models consider that the production rate is fixed and constant. But in many manufacturing and production processes the production rate is a function of stock on hand. For this sort of situations we develop and analyze an EPQ model with the assumption that the production rate is a function of the on-hand inventory and demand is a function of selling pr...

Economic production quantity (EPQ) inventory model for trended demand has been analyzed with rework facility and stochastic preventive machine time. Due to the complexity of the model, search method is proposed to determine the best optimal solution. A numerical example and sensitivity analysis are carried out to validate the proposed model. From the sensitivity analysis, it is observed that th...

In the real world, vague phenomenon is quite common in the production/inventory models. In order to process the vagueness, a production/inventory model that can be more closely related to the real vagueness and can take account of the vague factors that contribute to production costs, is required. The model must be extended or altered to fit in with the fuzzy situation. Since items with imperfe...

This paper focuses on an inventory model considering imperfect manufacturing and re-manufacturing system under single management. In manufacturing system, the items are produced from original raw materials but in re-manufacturing process, returned and defective items produced in previous manufacturing process are the raw materials. Both the production system shift from ‘ in control state ‘ to ‘...

In the classical inventory models, the common unrealistic assumption is that all the items produced are of good quality in nature. However, in realistic environment, it can be observed that there may be some defective items in an ordered lot. These items are usually picked up during the screening process and are sold as a single lot at the end of screening process. Further, it is tacitly assume...

Recently, in Mathematical and Computational Applications Journal Chiu et al. [1] and Chen and Chiu [2] propose an inventory model based on EPQ with rework to determine the replenishment lot size and the number of shipments for a vendor-buyer integrated production-inventory system. They solve the inventory problem by considering both variables as continuous. However, the number of shipments must...

Mutually connected business processes have both logistics process and planning and control components. The Little's theorem describes that for a queuing system in stationary situation, average demand rate multiplied by average number of inventory is average lead time. This paper shows what role a planning and control component plays in forming such a dynamic property of a business process as a ...