Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost

2020 ◽  
Vol 54 (6) ◽  
pp. 1723-1756 ◽  
Author(s):  
S. Hemapriya ◽  
R. Uthayakumar
Keyword(s):  
Production Rate ◽  
Production Cost ◽  
Optimal Solution ◽  
Inventory Model ◽  
Setup Cost ◽  
Integrated Production ◽  
Production Inventory ◽  
Quality Of Products ◽  
Variable Production

A predetermined production rate in a supply chain model with economic production lot size is quite appropriate for this type of situations as production rate can be changed in some cases to fulfill demand of customers. This paper investigates an integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost. As a rate of production has a direct impact on system performance, the production rate is considered as a variable along with the production cost. This production process gone through a long run system as a result after some specific time the production gone out-of-control state due to different issues and produced defective items. In addition, we consider that the defective follows three types of probability distribution function such as, (i) uniform, (ii) triangular and (iii) beta distributions. Two types of lead time crashed concept considering in this model and also we consider three types of continuous probabilistic defective function to find the associated cost of the system. The main objective is to find an optimal solution for an order quantity, safety factor, production cost, setup cost and to analyze how the flexibility of the production rate affects the process quality. An efficient iterative algorithm is designed to obtain the optimal solution of the model numerically and sensitivity analysis table formulate to show the impact of different parameter.

scholarly journals Production Inventory Model under Time Dependent Demand, Uneven Manufacturing Rate and Manufacture Time Dependent Selling Price

2021 ◽  
Vol 23 (04) ◽  
pp. 225-237
Author(s):  
G.S. Buttar ◽  
◽  
Ruchi Sharma Sharma ◽  
Keyword(s):  
Production Rate ◽  
Production Efficiency ◽  
Inventory Model ◽  
Time Dependent ◽  
Selling Price ◽  
Production Inventory ◽  
Efficiency Cost ◽  
Manufacturing Time ◽  
Variable Production ◽  
Dependent Demand

In this paper, an inventory model for production of a single article with an uneven manufacturing rate and manufacturing time subsidiary selling cost has been considered. The considered production inventory model is accepted to create perfect items in beginning however because of different elements, after some time the production begins diminishing exponentially with time, i.e., the variable production rate has been thought of. The demand is time subordinate. Initially up to certain time, production rate remains constant. But after some time, due to various factors, production will decrease. Therefore, the efficiency (E) of such factors must be increased to get more production which can maintain the production efficiency cost which has been applied. Considering this fact inverse efficiency λ has been introduced in production rate. By utilizing differential calculus, expected maximum profit has been resolved. The goal of the examination is to decide the ideal arrangement for a production framework that expands the total benefit subject to certain limitations viable. Results are examined by means of a mathematical example to outline the hypothesis.

scholarly journals Planning Horizon for Production Inventory Models with Production Rate Dependent on Demand and Inventory Level

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Jennifer Lin ◽  
Henry C. J. Chao ◽  
Peterson Julian
Keyword(s):  
Production Rate ◽  
Optimal Solution ◽  
Planning Horizon ◽  
Inventory Model ◽  
Inventory Level ◽  
Inventory Models ◽  
New Production ◽  
Production Inventory ◽  
Infinite Planning Horizon ◽  
Finite Planning Horizon

This paper discusses why the selection of a finite planning horizon is preferable to an infinite one for a replenishment policy of production inventory models. In a production inventory model, the production rate is dependent on both the demand rate and the inventory level. When there is an exponentially decreasing demand, the application of an infinite planning horizon model is not suitable. The emphasis of this paper is threefold. First, while pointing out questionable results from a previous study, we propose a corrected infinite planning horizon inventory model for the first replenishment cycle. Second, while investigating the optimal solution for the minimization problem, we found that the infinite planning horizon should not be applied when dealing with an exponentially decreasing demand. Third, we developed a new production inventory model under a finite planning horizon for practitioners. Numerical examples are provided to support our findings.

scholarly journals Production inventory models for deteiorative items with three levels of production and shortages

2017 ◽  
Vol 27 (4) ◽  
pp. 499-519
Author(s):  
Chickian Krishnamoorthi ◽  
C.K. Sivashankari
Keyword(s):  
Production Rate ◽  
Consumer Satisfaction ◽  
Optimal Solution ◽  
Inventory Model ◽  
Lot Size ◽  
Inventory Models ◽  
Total Cost ◽  
Initial Stage ◽  
Production Inventory ◽  
Holding Cost

In this paper, three level production inventory models for deteriorative items are considered under the variation in production rate. Namely, it is possible that production started at one rate, after some time, switches to another rate. Such a situation is desirable in the sense that by starting at a low rate of production, a large quantum stock of manufacturing items at the initial stage are avoided, leading to reduction in the holding cost. The variation in production rate results in consumer satisfaction and potential profit. Two levels of production inventory models are developed, and the optimum lot size quantity and total cost are derived when the production inventory model without shortages is studied first and a production inventory model with shortages next. An optimal production lot size, which minimizes the total cost, is developed. The optimal solution is derived and a numerical example is provided. The validation of the results in this model was coded in Microsoft Visual Basic 6.0.

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