Algorithms for Product-Form Networks

2006 ◽  
pp. 369-420
Keyword(s):  
Product Form

A preliminary semantic differential study on users' product form perception

2003 ◽  
Author(s):  
Shi-Jian Luo ◽  
Ming-Xi Tang ◽  
Shang-Shang Zhu ◽  
John Hamilton Frazer ◽  
Shou-Qian Sun ◽  
...  
Keyword(s):  
Semantic Differential ◽  
Product Form ◽  
Form Perception

Ceramic-ware along the Ancient Silk Trade Route—A Short Study of Cross-Cultural Influences on Product Form

2016 ◽  
Vol 4 (2) ◽  
pp. 84-97
Author(s):  
Ravi Mokashi Punekar ◽  
◽  
Shiva Ji ◽  
Keyword(s):  
Material Culture ◽  
Cultural Influences ◽  
Cross Cultural ◽  
Product Form ◽  
Ceramic Ware ◽  
Ancient Times ◽  
Silk Route ◽  
Trade Route ◽  
Multiple Domains ◽  
Trading Routes

The exchange of goods and materials by way of trading and exchanges were common in ancient times between India and China via silk route and other trading routes. The movement of people from one place to another brought exchange of not only materials but also techniques and processes and helped to establish their own manufacturing facilities and craftsmanship. This has resulted into a cross-cultural influence over the craft forms as reflected in many resemblances of material culture, annotations and apologies seen in various forms and shapes in multiple domains such as ceramic pottery, glazed pottery, metalware, ship buildings, printing, silk and other fabrics, patterns and motifs etc. Observations of ancient remains from Belitung and artifacts from Indian cities along secondary and tertiary Silk routes, show significant influence in the similarities in techniques, materials, surface treatments, kiln processes, colors, motifs , etc. This paper examines a cross-cultural resemblance of product form factor between Changsha pottery and pots to ceramic ware from eastern parts and metalware from western regions of India like Gujarat and Rajasthan. The spread of Buddhism from India to China and other eastern and south eastern countries during this period must also form a strong reason for this cultural exchange.

State-dependent signalling in queueing networks

1994 ◽  
Vol 26 (02) ◽  
pp. 436-455 ◽  
Author(s):  
W. Henderson ◽  
B. S. Northcote ◽  
P. G. Taylor
Keyword(s):  
Queueing Networks ◽  
State Dependence ◽  
Product Form ◽  
Batch Size ◽  
Single Server ◽  
Negative Customers ◽  
Affect Control ◽  
State Dependent ◽  
Special Cases ◽  
Equilibrium Distributions

It has recently been shown that networks of queues with state-dependent movement of negative customers, and with state-independent triggering of customer movement have product-form equilibrium distributions. Triggers and negative customers are entities which, when arriving to a queue, force a single customer to be routed through the network or leave the network respectively. They are ‘signals' which affect/control network behaviour. The provision of state-dependent intensities introduces queues other than single-server queues into the network. This paper considers networks with state-dependent intensities in which signals can be either a trigger or a batch of negative customers (the batch size being determined by an arbitrary probability distribution). It is shown that such networks still have a product-form equilibrium distribution. Natural methods for state space truncation and for the inclusion of multiple customer types in the network can be viewed as special cases of this state dependence. A further generalisation allows for the possibility of signals building up at nodes.

scholarly journals A product form for the general stochastic matching model

2021 ◽  
Vol 58 (2) ◽  
pp. 449-468
Author(s):  
Pascal Moyal ◽  
Ana Bušić ◽  
Jean Mairesse
Keyword(s):  
Stationary Distribution ◽  
Product Form ◽  
Necessary Condition ◽  
Matching Model ◽  
Bipartite Matching ◽  
Compatibility Graph ◽  
Stochastic Matching ◽  
Dynamic Reversibility ◽  
Original Dynamic ◽  
Do So

AbstractWe consider a stochastic matching model with a general compatibility graph, as introduced by Mairesse and Moyal (2016). We show that the natural necessary condition of stability of the system is also sufficient for the natural ‘first-come, first-matched’ matching policy. To do so, we derive the stationary distribution under a remarkable product form, by using an original dynamic reversibility property related to that of Adan, Bušić, Mairesse, and Weiss (2018) for the bipartite matching model.

scholarly journals Study on design of Linxia brick carving products based on shape grammar

2020 ◽  
Vol 179 ◽  
pp. 02089
Author(s):  
Zhang Shutao ◽  
Xu Juanjuan ◽  
Su Pengfei ◽  
Su Jianning
Keyword(s):  
Form Factor ◽  
Reference Product ◽  
Field Investigation ◽  
Product Form ◽  
Shape Grammar ◽  
Single Type ◽  
Initial Shape ◽  
Emotional Demand ◽  
Typical Form ◽  
Characteristic Lines

In view of the problems such as the single type of cultural derivative products of Linxia brick carving and the weak cultural attraction, we carried out the application research of Linxia brick carving culture by using shape grammar. Firstly, we collected and combed the materials of brick carving culture in Linxia by means of literature research and field investigation. Then, we determined the target product, analyzed the product form and emotional demand, construct the reference product form database, screen the brick carving pattern through the matching of the product emotional demand, obtained the characteristic lines of the brick carving pattern by the way of the type spectrum analysis, and established the typical form factor database of brick carving; Finally, taking some lines in the typical form factor database as the initial shape, we combined them with the lines in the reference product form database. According to the shape grammar deduction rules, the scheme was generated, the best scheme was selected and further refined. Studies have shown that the use of shape grammar for product design can enhance the cultural connotation of products, promote cultural heritage, and effectively guide the design of Linxia brick carving products.

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