Note on: A Single Item Inventory Model with Variable Production Rate and Defective Items—An Algebraic Method

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
Amal Sarkar
Keyword(s):  
Production Rate ◽  
Algebraic Method ◽  
Inventory Model ◽  
Defective Items ◽  
Single Item ◽  
Variable Production

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.

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.

Two-echelon imperfect production fuzzy supply chain model for reliability dependent demand with probabilistic deterioration and rework

2021 ◽  
pp. 1-15
Author(s):  
Sudip Adak ◽  
G.S. Mahapatra
Keyword(s):  
Supply Chain ◽  
Production Rate ◽  
Production Cost ◽  
Idle Time ◽  
Chain Model ◽  
Specific Time ◽  
Defective Items ◽  
Imperfect Production ◽  
Supply Chain Model ◽  
Dependent Demand

This paper develops a fuzzy two-layer supply chain for manufacturer and retailer with defective and non-defective types of products. The manufacturer produces up to a specific time, including faulty and non-defective items, and after the screening, the non-defective item sends to the retailer. The retailer’s strategy is to do the screening of items received from the manufacturer; subsequently, the perfect quality items are used to fulfill the customer’s demand, and the defective items are reworked. The retailer considers that customer demand is time and reliability dependent. The supply chain considers probabilistic deterioration for the manufacturer and retailers along with the strategies such as production rate, unit production cost, cost of idle time of manufacturer, screening, rework, etc. The optimum average profit of the integrated model is evaluated for both the cases crisp and fuzzy environments. Managerial insights and the effect of changes in the parameters’ values on the optimal inventory policy under fuzziness are presented.

Underground Gas Storage Inventory Analysis by a Noniterative Method

2004 ◽  
Vol 127 (2) ◽  
pp. 163-165 ◽  
Author(s):  
Ning Liu ◽  
Faruk Civan
Keyword(s):  
Production Rate ◽  
Gas Storage ◽  
Solution Algorithm ◽  
System Model ◽  
Inventory Analysis ◽  
Underground Gas Storage ◽  
Temperature Conditions ◽  
Practical Model ◽  
Variable Production

Underground gas storage inventory and conditions are predicted using a practical model and a noniterative solution algorithm. Various simulation scenarios concerning underground gas storage in depleted reservoirs with variable production rate and temperature conditions demonstrate the effectiveness of this approach. It is shown that the gas storage parameters can be determined conveniently by solving the system model directly without resorting to the tedious procedures of the previous approaches.

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