scholarly journals Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Jing Luan ◽  
Zhong Yao
Keyword(s):  
Morse Theory ◽  
Membrane Computing ◽  
Arithmetic Operation ◽  
Visual Display ◽  
Chain Structure ◽  
Practical Aspect ◽  
Discrete Morse Theory ◽  
P System ◽  
Chain System ◽  
Structure Object

Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane structure—P system with chain structure, is proposed, which is constructed on the basis of discrete gradient vector path of the discrete Morse theory. At the theoretical level, due to its unique chain structure, compared with traditional P system, its structure, object, and rule are described in details. In the practical aspect, a specific application example, P chain system for arithmetic operation, is presented to demonstrate the superiority, computational efficiency, and ability of P system with chain structure. Moreover, a simulation system of arithmetic operations based on P chain system is designed, giving a visual display of the implementation of P chain system for arithmetic operation, and verifying the feasibility and effectiveness of P chain system.

Arithmetic Expression Evaluation in Membrane Computing with Priority

2011 ◽  
Vol 225-226 ◽  
pp. 1115-1119 ◽  
Author(s):  
Ping Guo ◽  
Sheng Jiao Liu
Keyword(s):  
Membrane Structure ◽  
Membrane Computing ◽  
Arithmetic Operation ◽  
P System ◽  
Arithmetic Expression ◽  
Computing Model ◽  
Model Based ◽  
Operation Rules ◽  
Expression Evaluation

Arithmetic operation and arithmetic expression evaluation are basic operations of a computing model. Based on the rules with priority, this paper discusses arithmetic operation and arithmetic expression evaluation in transition P system. We present the rules of arithmetic operation and the arithmetic of constructing arithmetic expression evaluation’s membrane structure based on the arithmetic operation rules. In the arithmetic operation rules, we use some specifically symbols to make rules applied in a maximally parallel manner, and also assure synchronization need during the rules application.

scholarly journals Counting and Discrete Morse Theory

2019 ◽  
Vol 21 (1) ◽  
Author(s):  
Andrew Sack
Keyword(s):  
Morse Theory ◽  
Vector Fields ◽  
Discrete Morse Theory ◽  
Gradient Vector ◽  
Morse Functions

We examine enumerating discrete Morse functions on graphs up to equivalence by gradient vector fields and by restrictions on the codomain.  We give formulae for the number of discrete Morse functions on specific classes of graphs (line, cycle, and bouquet of circles).

Advertising strategy and contract coordination for a supply chain system: immediate and delayed effects

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Hui Yu ◽  
Wei Yang ◽  
Na Xu ◽  
Yang Du
Keyword(s):  
Supply Chain ◽  
Profit Maximization ◽  
Chain Structure ◽  
Transfer Payment ◽  
Supply Chain System ◽  
Content Type ◽  
Delayed Effects ◽  
Advertising Effect ◽  
Chain System ◽  
Advertising Strategy

PurposeAfter receiving advertising messages, most consumers rarely purchase the advertised products at once, which results in a delay between advertising exposure and its effect. This paper is devoted to exploring the advertising decision and coordination issues for a supply chain system subject to advertising immediate and delayed effects.Design/methodology/approachBy applying the game theory, the differential game models with delay are constructed for the supply chain to examine the equilibrium advertising efforts, brand goodwill and the optimal profits under the different cooperation situations. A class of transfer payment contracts is designed to achieve the best outcome of the supply chain. Illustrative examples are given to demonstrate the effectiveness of addressed results and provide some managerial perspectives.FindingsIt can be found that the complete cooperation situation can stimulate the advertising investment, drive the product demand and improve the economic profit. Also, a class of transfer payment contracts is designed in this paper, such that the supply chain can perfectly realize the profit maximization, and each member can achieve the Pareto improvement.Research limitations/implicationsThis work does not address the random market environment, which can be filled in the future. Furthermore, this paper has been done in a single supply chain structure. It is an interesting future line of research when taking competitive behavior (e.g. competition among manufacturers, retailers or supply chains) into account.Practical implicationsThis study will help managers make advertising strategies, advise an optimal cooperation way and design the coordination contracts to ensure the economic development of the supply chain. These obtained conclusions may provide a valuable decision-support for marketing management.Originality/valueFor a supply chain, the most previous literature about dynamic advertising models focused on a single advertising effect-immediate effect. This work explores advertising strategy with double advertising effects and investigates the coordinating power of new transfer payment contracts.

scholarly journals Strong Discrete Morse Theory and Simplicial L–S Category: A Discrete Version of the Lusternik–Schnirelmann Theorem

2019 ◽  
Vol 63 (3) ◽  
pp. 607-623
Author(s):  
Desamparados Fernández-Ternero ◽  
Enrique Macías-Virgós ◽  
Nicholas A. Scoville ◽  
José Antonio Vilches
Keyword(s):  
Morse Theory ◽  
Discrete Morse Theory ◽  
Discrete Version ◽  
Lusternik Schnirelmann

scholarly journals Discrete Morse theory for totally non-negative flag varieties

2010 ◽  
Vol 223 (6) ◽  
pp. 1855-1884 ◽  
Author(s):  
Konstanze Rietsch ◽  
Lauren Williams
Keyword(s):  
Morse Theory ◽  
Discrete Morse Theory ◽  
Flag Varieties
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