scholarly journals Production-inventory games and PMAS-games: Characterizations of the Owen point

2008 ◽  
Vol 56 (1) ◽  
pp. 96-108 ◽  
Author(s):  
Luis A. Guardiola ◽  
Ana Meca ◽  
Justo Puerto
Keyword(s):  
Production Inventory ◽  
Inventory Games

scholarly journals Unitary Owen Points in Cooperative Lot-Sizing Models with Backlogging

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 869
Author(s):  
Luis A. Guardiola ◽  
Ana Meca ◽  
Justo Puerto
Keyword(s):  
Cost Sharing ◽  
Lot Sizing ◽  
Operating Cost ◽  
Sufficient Conditions ◽  
Planning Horizon ◽  
New Family ◽  
Production Inventory ◽  
Necessary And Sufficient ◽  
Stable Allocations ◽  
Inventory Games

This paper analyzes cost sharing in uncapacitated lot-sizing models with backlogging and heterogeneous costs. It is assumed that several firms participate in a consortium aiming at satisfying their demand over the planning horizon with minimal operating cost. Each individual firm has its own ordering channel and holding technology, but cooperation with other firms consists in sharing that information. Therefore, the firms that cooperate can use the best ordering channels and holding technology among members of the consortium. This mode of cooperation is stable. in that allocations of the overall operating cost exist, so that no group of agents benefit from leaving the consortium. Our contribution in the current paper is to present a new family of cost sharing allocations with good properties for enforcing cooperation: the unitary Owen points. Necessary and sufficient conditions are provided for the unitary Owen points to belong to the core of the cooperative game. In addition, we provide empirical evidence, through simulation, showing that, in randomly-generated situations, the above condition is fulfilled in 99% of the cases. Additionally, a relationship between lot-sizing games and a certain family of production-inventory games, through Owen’s points of the latter, is described. This interesting relationship enables easily constructing a variety of coalitionally stable allocations for cooperative lot-sizing models.

Economic Production Inventory model with the associated costs of internet advertising to acquire customers residing worldwide

2014 ◽  
Vol 12 (9) ◽  
pp. 3921-3926
Author(s):  
Ritha Prakash ◽  
Nivetha Martin
Keyword(s):  
Modern Technology ◽  
Inventory Model ◽  
Internet Advertising ◽  
Advertising Strategy ◽  
Technology Acquisition ◽  
Industrial Sectors ◽  
Economic Production ◽  
Production Inventory ◽  
Short Span

In recent times, we are witnessing the technological revolution which provides access to tremendous changes in all the fields including the industrial sectors. The notable benefit of the modern technology is quick accomplishment of complex tasks within a short span of time, which has motivated the manufacturers to imbibe novelty techniques in the production process to enhance the quality of the product so as to retain its market position amidst the competitors. As globalization has gained more concern, the manufacturers employ internet advertising strategy to elevate the product to international level and to propagate the attributes of the products to the customers residing worldwide. In this paper an EPQ inventory model is developed in which the associated costs of technology, acquisition of local and international customers via internet advertising costs are included, a numerical example is also presented to validate the model.

System dynamics model of production-inventory-routing system in the green supply chain

2021 ◽  
pp. 1-14
Author(s):  
Katayoun Naderi ◽  
Roya M. Ahari ◽  
Javid Jouzdani ◽  
Atefeh Amindoust
Keyword(s):  
Supply Chain ◽  
System Dynamics ◽  
Supply Chains ◽  
Transportation Cost ◽  
Green Supply Chain ◽  
Ideal Condition ◽  
Inventory Routing ◽  
Production Inventory ◽  
Fierce Competition ◽  
Maximum Production Rate

Fierce competition in the global markets forced companies to improve the design and management of supply chains, because companies are always looking for more profit and higher customer satisfaction. The emergence of the green supply chain is one of the most important developments of the last decade. It provides an opportunity for companies to adjust their supply chains according to environmental goals and sustainability. The integrated production-inventory-routing is a new field that aims to optimize these three decision-making levels. It can be described as follow: a factory produces one or more products, and sells them to several customers (by direct delivery or a specific customer chain). The current study aims to model a production-inventory-routing system using a system dynamics approach to design a green supply chain under uncertain conditions. For this purpose, first, the association between selected variables was determined. Then, the proposed model was validated. Finally, to identify variables with the highest influence, four scenarios were developed. The results indicated that minimum total transportation cost, the total warehouse capacity of the supply chain, and the maximum production rate are the most influential strategies to achieve ideal condition.

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.

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