This paper studied a continuous-time model of a production maintenance system in which a manufacturing firm produces a single product selling some and stocking the remaining. The problem of adaptive control of a production-maintenance system with unknown deterioration has been presented. Using Liapunov technique, the production rate and updating rule of deterioration rate are derived as non-lin...

In this paper a deterministic inventory model with imperfect quality have been developed for deteriorating items with two parameters Weibull distribution deterioration and time dependent holding cost. Shortages are allowed and are completely backlogged. The model has been framed to study the items whose deterioration rate increase with time under permissible delay in payments with imperfect qua...

Many times it happens that units ordered are not of 100% good quality. A deterministic inventory model with imperfect quality is developed when the deterioration rate is Weibull distribution. Here it is assumed that holding cost is time dependent. The model has been framed to study the items whose deterioration rate increase with time under permissible delay in payments with imperfect quality. ...

In this present paper an inventory model is developed with ramp type demand, starting with shortage and three – parameter Weibull distribution deterioration. A brief analysis of the cost involved is carried out by an example.

This paper presents inventory models for perishable items with stock dependent selling rate. The selling rate is assumed to be a function of current inventory level and rate of deterioration is taken to be constant. Under instantaneous replenishment with zero lead time, the model incorporates aspects such as complete, partial, and no backlogging. EOQ is determined for maximizing the total profi...

In this paper a deterministic inventory model is developed when the deterioration is constant. Demand rate is a function of selling price and holding cost is taken as time dependent. The model is solved allowing shortage in inventory. The results are solved with the help of numerical example by using Mathematica 5.1. The sensitivity analysis of the solution has done with the changes of the valu...

A multi-item model of a production-inventory system incorporating deterioration, shortages and capacity/budge constraints is considered. An optimal control policy for the model is developed using linear quadratic (LQ) theory for the case of deterministic demands. The problem of controlling large-scale production-inventory facilities is also considered, and the interaction prediction method is u...

An order level inventory system for deteriorating items has been developed with demand rate as a ramp type function of time. The finite production rate is proportional to the demand rate and deterioration rate is time proportional. The unit production cost is inversely proportional to the demand rate. The model with no shortage case in inventory is first solved. The inventory shortage is discus...

While the development and application of inventory control models of deterioration products is one of the main concerns of researchers and practitioners, most studies done in this field have focused on inventory models under fixed supply lead time assumption. In this paper, at first we study researches done in inventory control of deteriorating items and classify them based on modeling approach...

Here, a fuzzy inventory model for deteriorating items with shortages under fully backlogged condition is formulated and solved. Deterioration rate and demand are assumed to be constant. Shortages are allowed and assumed to be fully backlogged. Fuzziness is introduced by allowing the cost components, demand rate and the deterioration. In fuzzy environment, all related inventory parameters are as...