Fuzzy production-inventory models with shortages via ranking technique and credibility measure

2020 ◽  
Vol 7 (2) ◽  
pp. 105
Author(s):  
Arindam Roy ◽  
Samarjit Kar ◽  
Manoranjan Maiti
Keyword(s):  
Credibility Measure ◽  
Inventory Models ◽  
Production Inventory ◽  
Ranking Technique

PRODUCTION-INVENTORY MODELS WITH AN UNRELIABLE FACILITY OPERATING IN A TWO-STATE RANDOM ENVIRONMENT

2002 ◽  
Vol 16 (3) ◽  
pp. 325-338 ◽  
Author(s):  
David Perry ◽  
M.J.M. Posner
Keyword(s):  
Random Environment ◽  
Compound Poisson Process ◽  
Inventory Models ◽  
Level Crossing ◽  
Capacity Limitations ◽  
Model Variant ◽  
Production Inventory ◽  
Level Process ◽  
Equilibrium Content ◽  
Production Inventory System

We consider two model variants of a production-inventory system. The system is characterized by a producing machine which is susceptible to failure following which it must be repaired to make it operative again. The machine's production can also be stopped deliberately because of stocking capacity limitations. During ON periods the input into the buffer is continuous and uniform (until a threshold is reached), whereas during OFF periods the output from the buffer is a compound Poisson process. We are interested in computing the equilibrium content level process under the assumption that full backlogging is allowed. In the first model, variant OFF periods are independent of the demand process, and in the second variant, they are determined and controlled in accordance with a certain level crossing stopping rule.

An Imperfect Production Model for Breakable Multi-Item with Dynamic Demand and Learning Effect on Rework over Random Planning Horizon

2021 ◽  
Vol 14 (12) ◽  
pp. 574
Author(s):  
Amalesh Kumar Manna ◽  
Leopoldo Eduardo Cárdenas-Barrón ◽  
Barun Das ◽  
Ali Akbar Shaikh ◽  
Armando Céspedes-Mota ◽  
...  
Keyword(s):  
Learning Effect ◽  
Planning Horizon ◽  
Inventory Model ◽  
Inventory System ◽  
Production Model ◽  
Inventory Models ◽  
Imperfect Production ◽  
Production Inventory ◽  
Random Planning Horizon ◽  
Production Inventory System

In recent times, in the literature of inventory management there exists a notorious interest in production-inventory models focused on imperfect production processes with a deterministic time horizon. Nevertheless, it is well-known that there is a high influence and impact caused by the learning effect on the production-inventory models in the random planning horizon. This research work formulates a mathematical model for a re-workable multi-item production-inventory system, in which the demand of the items depends on the accessible stock and selling revenue. The production-inventory model allows shortages and these are partial backlogged over a random planning horizon. Also, the learning effect on the rework policy, inflation, and the time value of money are considered. The main aim is to determine the optimum production rates that minimize the expected total cost of the multi-item production-inventory system. A numerical example is solved and a detailed sensitivity analysis is conducted in order to study the production-inventory model.

Applying Game Theory to Competitive Production-Inventory Models with Vendor's Imperfect Production Processes and the Condition of Buyer's Exemption from Inspection

2015 ◽  
Vol 1125 ◽  
pp. 601-607
Author(s):  
Liang Yuh Ouyang ◽  
Chih Te Yang ◽  
Adam Kao ◽  
Jing Zhi Huang
Keyword(s):  
Game Theory ◽  
Capital Investment ◽  
Sufficient Conditions ◽  
Solution Procedure ◽  
Type I ◽  
Optimal Solutions ◽  
Inventory Models ◽  
Imperfect Production ◽  
Production Processes ◽  
Production Inventory

This study establishes the competitive production-inventory models with vendor’s imperfect production processes by using game theory. The imperfect production processes can be improved by capital investment which is shared out between the vendor and the buyer jointly. In addition, the inspection process is assumed to be imperfect and Type I and Type II inspection errors occur during product quality inspection. We first develop the total cost per unit time of the buyer and vendor, respectively and then seek the optimal buyer’s order quantity, vendor’s shipping times and defective rate of the product where the system achieves a Nash equilibrium. The necessary and sufficient conditions of the existence and uniqueness of the optimal solutions for the buyer and the vendor respectively are shown. Furthermore, we develop a algorithm to find the optimal solutions. Finally, an numerical example are presented to demonstrate the solution procedure.

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