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1.
《Mathematical and Computer Modelling》2000,31(10-12):157-163
An auto-sleep system is defined by the following two properties:
- 1.(i) a call for the system occurs randomly and intermittently
- 2.(ii) the system automatically goes to sleep if there occurs no call during a prespecified time T.
- 1.(a) sleep
- 2.(b) warm-up
- 3.(c) nonusage
- 4.(d) usage.
2.
3.
《Mathematical and Computer Modelling》2004,39(11-12):1213-1220
This work deals with the modelling of a three-link manipulator mounted on a plane with a time-dependent inclination. Two cases are considered.
- (i)The plane is part of a rigid body.
- (ii)The plane is in a moored ship.
4.
《Annals of Pure and Applied Logic》1999,96(1-3):89-105
We consider the common-knowledge paradox raised by Halpern and Moses: common knowledge is necessary for agreement and coordination, but common knowledge is unattainable in the real world because of temporal imprecision. We discuss two solutions to this paradox:
- 1.(1) modeling the world with a coarser granularity, and
- 2.(2) relaxing the requirements for coordination.
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6.
《Applied Mathematical Modelling》2002,26(2):203-221
The performance of an iron-bath reactor has been studied using a comprehensive numerical model that combines a computational fluid dynamics approach for the gas phase and a heat and mass balance model for the bath. The model calculates:
- •coal, ore, flux and oxygen consumption;
- •post-combustion ratio (PCR);
- •heat-transfer efficiency (HTE);
- •off-gas temperature and composition;
- •heat transfer and chemical reactions between gas and iron and slag droplets; and
- •heat transfer between gas and bath, refractories and lance.
7.
《Mathematical and Computer Modelling》1998,27(9-11):27-49
This paper formulates the Dynamic Traffic Routing (DTR) problem as a real-time feedback control problem. Three different forms of the formulation are presented:
- 1.(1) distributed parameter system form derived from the conservation law;
- 2.(2) space discretized continuous lumped parameter form;
- 3.(3) space and time discretized lumped parameter form.
8.
《Mathematical and Computer Modelling》2000,31(10-12):81-88
For second-hand products sold with warranty, the expected warranty cost for an item to the manufacturer, depends on
- 1.(i) the age and/or usage as well as the maintenance history for the item
- 2.(ii) the terms of the warranty policy.
9.
《Mathematical and Computer Modelling》1997,25(1):93-105
A procedure of the dynamic programming (DP) for the discrete-continuous problem of a route optimization is considered. It is possible to consider this procedure as a dynamic method of optimization of the towns choice in the well-known traveling salesman problem. In the considered version of DP, elements of a dynamic optimization are used. Two variants of the function of the aggregations of losses are investigated:
- 1.(1) the additive functions;
- 2.(2) the function characterizing the aggregation of losses in the bottle-neck problem.
10.
《European Journal of Operational Research》1986,23(2):236-245
Consider a set of trips where each trip is specified a priori by a place of origin, a destination, a duration, a cost and a time interval within which the trip must begin. The trips may include visits to one or more specific points. Our problem is to determine the number of vehicles required together with their routes and schedules, so that each trip begins within his given time interval, while the fixed costs related to the number of vehicles, and the travel costs between trips are minimized. The problem is a generalization of the m-travelling salesman problem.We compare numerical results for 3 algorithms developed by our research team:
- 1.(1) Column generation on a set partitioning problem solved by simplex and branch-and-bound; columns are generated by a shortest path algorithm with time constraints on the nodes.
- 2.(2) Adaptation of the Carpaneto-Toth algorithm for the asymmetric travelling salesman problem: solution of network problems by relaxing scheduling constraints, and branch-and-bound on flow variables.
- 3.(3) Solution of network problems by relaxing scheduling constraints and branch-and-bound based on dividing the time windows.
11.
《European Journal of Operational Research》1999,113(3):501-527
This paper explores the social theories implicit in system dynamics (SD) practice. Groupings of SD practice are observed in different parts of a framework for studying social theories. Most are seen to be located within `functionalist sociology'. To account for the remainder, two new forms of practice are discussed, each related to a different paradigm. Three competing conclusions are then offered:
- 1.The implicit assumption that SD is grounded in functionalist sociology is correct and should be made explicit.
- 2.Forrester's ideas operate at the level of method not social theory so SD, though not wedded to a particular social theoretic paradigm, can be re-crafted for use within different paradigms.
- 3.SD is consistent with social theories which dissolve the individual/society divide by taking a dialectical, or feedback, stance. It can therefore bring a formal modelling approach to the `agency/structure' debate within social theory and so bring SD into the heart of social science.
12.
《European Journal of Operational Research》2006,174(2):1260-1280
In this paper, we set up a House of Profit Model, an approach of maximizing profit of a food retailing chain by targeting and promoting valuable customers. Our model combines
- •segmentation analysis of households using Loyalty Card and Scanner Data,
- •price and promotion elasticity analysis,
- •simulation of effects of pricing and promotion,
- •price and promotion optimization to maximize profit.
13.
《Applied Mathematics Letters》2003,16(5):657-662
The paper studies equation (1.1) in two cases:
- •(i)p ≡ 0,
- •(ii)p ≠ 0.
14.
《European Journal of Operational Research》1986,27(1):91-94
In the construction industry, places, capacities and levels of demand in basic spare parts are changing in relatively short periods of time. This creates an optimization problem of the following form.We are given the following:o
- (i)The location and the level of demand for each basic spare part in each work site for a specific time period.
- (ii)The places and the levels of demand can be altered.
- (iii)There are more than one supplier of each part geografically distributed.
- (iv)The number of basic equipment spare parts.
- (v)The transportation cost per load of spare parts.
- (vi)The purchasing and functioning cost of the various air houses used as warehouses of spare parts.
15.
《Mathematical and Computer Modelling》1997,25(5):13-58
The overall flotation deinking process can be divided into four basic microprocesses:
- 1.(1) collision or capture of an (ink) particle by an air bubble
- 2.(2) adhesion of an (ink) particle to the air bubble by sliding
- 3.(3) development of a three-phase contact at the air bubble/water/particle interface, and
- 4.(4) bubble/particle stability or instability after an aggregate is formed each of these microprocesses have an associated probability that they will occur successfully in a flotation cell.
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17.
《Mathematical and Computer Modelling》1999,29(4):41-52
Australia produces one of the highest volumes of agricultural, industrial, and municipal wastes per capita in the world. Increasingly, the public is demanding statutory authorities investigate environmentally sound methods of land application. However, a real danger associated with land disposal of wastes, in particular sewage, is the possible contamination of groundwater and threats to public health resulting from transport of pathogenic micro-organisms through the vadose zone. The study of the transport and fate of micro-organisms in soils is also of vital importance in the fields of oil recovery, biological control of plant root diseases, and in-situ bioremediation of contaminated soils and aquifers from industrial accidents. The objectives of this paper are
- 1.(a) to explore the extent of spatial and temporal heterogeneity found in the soil-water patterns in Australian soils, and
- 2.(b) to establish the framework for a mathematical model of the population dynamics and mobility of soil bacterial transport through the unsaturated zone of soils.
18.
《Journal de Mathématiques Pures et Appliquées》1999,78(2):121-157
This paper is devoted to the characterization of external electrostatic potentials for which the Vlasov-Poisson-Fokker-Planck system satisfies one of the following properties:
- (i) the system admits stationary solutions,
- (ii) any solution to the evolution problem converges to a stationary solution, or, equivalently, no mass vanishes for large times,
- (iii) the free energy is bounded from below, We give conditions under which these different notions of confinement are equivalent.
19.
《Historia Mathematica》2002,29(2):193-198
Analysis of the errors in two Old Babylonian “algebraic” problems shows
- •that the computations were performed on a device where additive contributions were no longer identifiable once they had entered the computation;
- •that this device must have been some kind of counting board or abacus where numbers were represented as collections of calculi;
- •that units and tens were represented in distinct ways, perhaps by means of different calculi.
- •Additive Beiträge waren nach ihrer Eintragung in die Rechnung nicht länger identifizierbar.
- •Das Gerät war eine Art Rechenbrett, auf welchem Zahlen als Haufen von Rechensteinen erschienen.
- •Einer und Zehner wurden in verschiedener Weise, evtl. mittels verschiedener Rechensteine repräsentiert.
20.
《Mathematical and Computer Modelling》1997,25(7):79-87
Research in graph theory has focused on studying the structure of graphs with the assumption that they are static. However, in many applications, the graphs that arise change with time, i.e., they are dynamic in nature. This is especially true of applications involving graph models in computer science. We present an expository study of dynamic graphs with the main driving force being practical applications. We first develop a formal classification of dynamic graphs. This taxonomy in the form of generalizations and extensions will in turn suggest new areas of application. Next, we discuss areas where dynamic graphs arise in computer science such as compilers, databases, fault-tolerance, artificial intelligence, and computer networks. Finally, we propose approaches that can be used for studying dynamic graphs. The main objective in any study of dynamic graphs should be to
- 1.(i) extend results developed for static graph theory to dynamic graphs,
- 2.(ii) study the properties that describe how a dynamic graph changes,
- 3.(iii) investigate problems and issues in dynamic graph theory that are raised by practical applications of dynamic graphs in computer science.