This research paper deals with an inventory replenishment model for both deteriorating and ameliorating items under linear trend in demand over a fixed time horizon. aimed to develop the shortages which are partially backlogged. The is developed fuzzy environment. Optimal technique used solve considering Signed Distance Method (SD). ordering cost, purchase holding shortage cost opportunity all ...

Abstract A model for inventory systems with multiple products is studied. Demands of items are time-dependent and follow power patterns. Shortages allowed fully backlogged. For this system, our findings provide the efficient policy that helps decision-makers to obtain initial levels reorder points maximize profit per unit time. Moreover, when it assumed warehouse used storage has a limited capa...

In particular business transactions, the supplier usually provides an admissible delay in settlement to its vendor encourage further sales. Additionally, demand for commodity is inversely proportional function of sales price, which non-linear and, some situations, a holding cost rises over time. Moreover, many goods often deteriorate consistently and shall not be sold after their expiration dat...

This investigation presents an economic production quantity (EPQ) model for deteriorating items with stock-dependent demand and shortages. It is assumed that a constant fraction of the on-hand inventory deteriorates and demand rate depends upon the amount of the stock level. Expression for various optimal indices as well as cost analysis are provided. By taking numerical illustration, sensitivi...

In this paper, we develop an integrated two-echelon supply chain inventory model with a single-manufacturer and multi-retailers in which each retailer’s demand is dependent on selling price of the product. The manufacturer produces single product dispatched order quantities retailers some equal batches. production process imperfect quality products defective percentage random nature follows bin...

Recently, various deterministic inventory models were developed for deteriorating items with the uniform demand pattern (either increasing or decreasing) throughout cycle. However, such types of are not suitable many real business problems. In particular, patterns steady models, ordinarily, rises first, then it becomes static and finally decreases, demands can be portrayed by considering trapez...

This study considers deteriorating items having linear demand pattern, although this demand pattern is not new and lot of work has been done on this demand pattern. But this study is unique in itself, as in this study constant part of linear demand changes with each cycle, thus it gives better picture of demand then earlier models. The earlier models used to consider the constant factor of line...