Fuzzy Multi-Objective Linear Programming and Simulation Approach to the Development of Valid and Realistic Master Production Schedule

Master production schedule (MPS) plays an important role in an integrated production planning system. It converts the strategic planning defined in a production plan into the tactical operation execution. The MPS is also known as a tool for top management to control over manufacture resources and becomes input of the downstream planning levels such as material requirement planning (MRP) and capacity requirement planning (CRP). Hence, inappropriate decision on the MPS development may lead to infeasible execution, which ultimately causes poor delivery performance. One must ensure that the proposed MPS is valid and realistic for implementation before it is released to real manufacturing system. In practice, where production environment is stochastic in nature, the development of MPS is no longer simple task. The varying processing time, random event such as machine failure is just some of the underlying causes of uncertainty that may be hardly addressed at planning stage so that in the end the valid and realistic MPS is tough to be realized. The MPS creation problem becomes even more sophisticated as decision makers try to consider multi-objectives; minimizing inventory, maximizing customer satisfaction, and maximizing resource utilization. This study attempts to propose a methodology for MPS creation which is able to deal with those obstacles. This approach takes into account uncertainty and makes trade off among conflicting multi-objectives at the same time. It incorporates fuzzy multi-objective linear programming (FMOLP) and discrete event simulation (DES) for MPS development.

Cost Sharing under Uncertainty: An Algorithmic Approach to Cooperative Interval-Valued Games

Recently, Branzei, Dimitrov, and Tijs (2003) introduced cooperative interval-valued games. Among other insights, the notion of an interval core has been coined and proposed as a solution concept for interval-valued games. In this paper we will present a general mathematical programming algorithm which can be applied to find an element in the interval core. As an example, we discuss lot sizing with uncertain demand to provide an application for interval-valued games and to demonstrate how interval core elements can be computed. Also, we reveal that pitfalls exist if interval core elements are computed in a straightforward manner by considering the interval borders separately.

Efforts and Models of Education for Parents: the Danish Approach

The report examines the relationship between day care institutions, schools and so called “parents unfamiliar to education” as well as the relationship between the institutions. With in Danish public and professional discourse concepts like parents unfamiliar to education are usually referring to environments, parents or families with either no or just very restricted experience of education except for the basic school (folkeskole). The “grand old man” of Danish educational research, Prof. Em. Erik Jørgen Hansen, defines the concept as follows: Parents who are distant from or not familiar with education, are parents without tradition of education and by that fact they are not able to contribute constructively in order to back up their own children during their education. Many teachers and pedagogues are not used to that term; they rather prefer concepts like “socially exposed” or “socially disadvantaged” parents or social classes or strata. The report does not only focus on parents who are not capable to support the school achievements of their children, since a low level of education is usually connected with social disadvantage. Such parents are often not capable of understanding and meeting the demands from side of the school when sending their children to school. They lack the competencies or the necessary competence of action. For the moment being much attention is done from side of the Ministries of Education and Social Affairs (recently renamed Ministry of Welfare) in order to create equal possibilities for all children. Many kinds of expertise (directions, counsels, researchers, etc.) have been more than eager to promote recommendations aiming at achieving the ambitious goal: 2015 95% of all young people should complement a full education (classes 10.-12.). Research results are pointing out the importance of increased participation of parents. In other word the agenda is set for ‘parents’ education’. It seems necessary to underline that Danish welfare policy has been changing rather radical. The classic model was an understanding of welfare as social assurance and/or as social distribution – based on social solidarity. The modern model looks like welfare as social service and/or social investment. This means that citizens are changing role – from user and/or citizen to consumer and/or investor. The Danish state is in correspondence with decisions taken by the government investing in a national future shaped by global competition. The new models of welfare – “service” and “investment” – imply severe changes in hitherto known concepts of family life, relationship between parents and children etc. As an example the investment model points at a new implementation of the relationship between social rights and the rights of freedom. The service model has demonstrated that weakness that the access to qualified services in the field of health or education is becoming more and more dependent of the private purchasing power. The weakness of the investment model is that it represents a sort of “The Winner takes it all” – since a political majority is enabled to make agendas in societal fields former protected by the tripartite power and the rights of freedom of the citizens. The outcome of the Danish development seems to be an establishment of a political governed public service industry which on one side are capable of competing on market conditions and on the other are able being governed by contracts. This represents a new form of close linking of politics, economy and professional work. Attempts of controlling education, pedagogy and thereby the population are not a recent invention. In European history we could easily point at several such experiments. The real news is the linking between political priorities and exercise of public activities by economic incentives. By defining visible goals for the public servants, by introducing measurement of achievements and effects, and by implementing a new wage policy depending on achievements and/or effects a new system of accountability is manufactured. The consequences are already perceptible. The government decides to do some special interventions concerning parents, children or youngsters, the public servants on municipality level are instructed to carry out their services by following a manual, and the parents are no longer protected by privacy. Protection of privacy and minority is no longer a valuable argumentation to prevent further interventions in people’s life (health, food, school, etc.). The citizens are becoming objects of investment, also implying that people are investing in their own health, education, and family. This means that investments in changes of life style and development of competences go hand in hand. The below mentioned programmes are conditioned by this shift.

Setting Inventory Levels of CONWIP Flow Lines via Linear Programming

This paper treats the problem of setting the inventory level and optimizing the buffer allocation of closed-loop flow lines operating under the constant-work-in-process (CONWIP) protocol. We solve a very large but simple linear program that models an entire simulation run of a closed-loop flow line in discrete time to determine a production rate estimate of the system. This approach introduced in Helber, Schimmelpfeng, Stolletz, and Lagershausen (2011) for open flow lines with limited buffer capacities is extended to closed-loop CONWIP flow lines. Via this method, both the CONWIP level and the buffer allocation can be optimized simultaneously. The first part of a numerical study deals with the accuracy of the method. In the second part, we focus on the relationship between the CONWIP inventory level and the short-term profit. The accuracy of the method turns out to be best for such configurations that maximize production rate and/or short-term profit.

Using Dynamic Programming Decomposition for Revenue Management with Opaque Products

Opaque products enable service providers to hide specific characteristics of their service fulfillment from the customer until after purchase. Prominent examples include internet-based service providers selling airline tickets without defining details, such as departure time or operating airline, until the booking has been made. Owing to the resulting flexibility in resource utilization, the traditional revenue management process needs to be modified. In this paper, we extend dynamic programming decomposition techniques widely used for traditional revenue management to develop an intuitive capacity control approach that allows for the incorporation of opaque products. In a simulation study, we show that the developed approach significantly outperforms other well-known capacity control approaches adapted to the opaque product setting. Based on the approach, we also provide computational examples of how the share of opaque products as well as the degree of opacity can influence the results.