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EN
Periodic routing and scheduling is of utmost importance in many industries with mobile personnel working in the field: sales representatives, service technicians, suppliers, etc. The resulting optimization problems are of large scale and complexity, mostly due to discrete, combinatorial nature of the systems and due to complicated, nonuniform constraints. In many cases the long-term stability of the customer to personnel allocation is required, leading to the decomposition of the major problem into single employee subproblems. The paper deals with building clusters of customers visited by a single salesperson. The procedure takes into account diverse system requirements and constraints, possible traveling schedules and expected operational costs. The difficulty of the problem lies in its large scale and constraints complexity as well as in troublesome objective evaluation for the given solution. The general solution concept is presented. Its usefulness is supported by the results of the computational experiments.
PL
W artykule opisane jest zagadnienie przydziału pracowników do stanowisk pracy w systemie odpraw celnych. Ze względu na specyfikę problemu, w związku z występowaniem ryzyka zachowań korupcyjnych, obsada stanowisk pracy powinna być generowana w sposób losowy. Zalecane jest także uwzględnienie rotacji stanowisk dla pracowników, którzy np. zbyt często pełnili służbę w uciążliwym miejscu pracy. Sformułowany jest model matematyczny dla tego zagadnienia. Następnie zaprezentowany jest proponowany szybki algorytm znajdujący rozwiązanie dedykowane dla zdefiniowanego problemu.
EN
The article discusses the assignment problem of employees to workplaces in the customs clearance system. Due to the specific nature of the problem, due to the risk of corruption, staffing should be generated randomly. It isalsoadvisable to includerotation of positions for employeeswho, for example, have too often served in a cumber some workplace. The mathematical model for this problem is formulated. Then the proposed fast algorith mispresented, which is dedicated to the defined problem.
3
EN
In the era of rapidly changing market and consumer needs, there are dynamic changes in the services offered. This also applies to the car fleet market. Currently, the approach to owning a vehicle is changing to other forms such as rental or subscription. Different types of funding are conducive to changes in the fleet management industry. More and more sophis-ticated services are offered for corporate clients, but also private customers. In the context of these changes, the approach to different aspects of vehicle use is also clarified, including what has been noticeable in recent years, increased interest in road safety, environmental issues and most importantly costs of use and possession of the vehicle. This puts high demands on fleet managers who sustainably need to match the structure of their fleets to the needs and capabilities of their customers while taking into account safety and ecology issues. This is a complicated task that requires decision-making assistance. This article addresses the support of the fleet manager decision, taking into account the sustainable management model. The article aimed to develop a model that takes into account the aspects of safety and ecology from the operator-financier the point of view. The result of the article is to provide a decision-making tool for the selection of vehicles and drivers, taking into account their characteristics to accomplish their tasks. The work presents the problem of fleet management, shows the characteristics of different forms of financing and the impact of market trends on the current approach to these problems. The analysis of safety aspects to the possibility of using different methods affecting its level was then presented. Another element of the article is a mathematical model of the problem of resources assignment for tasks. The developed model is universal and can be used for evaluation and optimisation. To this end, the function of the criterion has been formulated, taking into account the aspects of safety, ecology and financial aspects. It also takes into account the randomness of adverse events and the duration of the remaining appropriations in the out-of-order state. This Model can be used for the risk assessment of the driving staff. The developed model was implemented in the Flexsim environment for a computational example for a trading company. Computational experiments have indicated the correctness of the model and its high application potential, as well as further directions of model development to support complex management processes carried out by fleet managers.
PL
W artykule zdefiniowano ogólny problem przydziału, wyjaśniono pojęcie skojarzenia w grafie dwudzielnym a następnie opisano problem przydziału w przedsiębiorstwie transportowym. Wyznaczono model matematyczny przydziału, funkcję optymalizacyjną.
EN
This article defines a general assignment problem and explains definition of a matching in a bipartite graph. This paper describes an assignment problem of tasks to resources in the transport company. This article contains the mathematical allocation model of tasks, function optimization with constrains.
5
Content available Problemy przydziału w transporcie lotniczym
PL
W związku z gwałtownym rozwojem ruchu lotniczego, modele alokacji zasobów linii lotniczych lub portów lotniczych stają się coraz bardziej skomplikowane. Problemy przydziału są bardzo ważnymi problemami transportu lotniczego. W artykule przedstawiono modele matematyczne problemów przydziału bramek, przydziału pasów lądowania i przydziału załogi, których celem jest minimalizacja całkowitych poniesionych kosztów lub czasów połączeń. Zaprezentowano również wyniki przykładowych eksperymentów.
EN
With the rapid development of air transport traffic, the models for allocating airport and airline resources become much complicated. Assignment problems are very important issues during airlines operations. In this paper we present mathematical models of the airport gate assignment problem, the aircraft landing problem and the crew assignment problem. Their objective is to minimize the overall costs or connection times. The results of computational experiments are also presented.
EN
The paper is concerned with allocation problems for a class of parallel operations described by a relational knowledge representation. Unknown parameters in the relations are assumed to be values of uncertain variables described by certainty distributions given by an expert. Theorems concerning properties of the optima! allocation are presented. The equivalence of the solutions obtained by a direct approach to the allocation problem and by a decomposition is discussed. An example illustrates the presented method.
EN
For analysis and decision problems in a class of uncertain systems a concept of uncertain variables has been elaborated. In this paper it has been shown how the uncertain variables may be applied to an allocation problem for a class of parallel operations described by a relational knowledge representation with unknown parameters. The unknown parameters are characterized by certainty distributions given by an expert.
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